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{margin-bottom:0in;} ul {margin-bottom:0in;} --> </style> <!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman",serif;} </style> <![endif]--> <meta http-equiv=Content-Style-Type content="text/css"> <meta name=CocoaVersion content=1504.83> </head> <body lang=EN-US link=blue vlink=purple style='tab-interval:.5in'> <div class=WordSection1> <h2 align=center style='margin-top:0in;margin-right:0in;margin-bottom:14.95pt; margin-left:0in;text-align:center;line-height:27.75pt'><span class=s1><span style='font-size:24.0pt;font-family:Times;mso-fareast-font-family:"Times New Roman"; color:#000090'>Ari Arapostathis</span></span><span style='font-size:24.0pt; font-family:Times;mso-fareast-font-family:"Times New Roman";color:#000090'><o:p></o:p></span></h2> <h2 align=center style='margin-top:0in;margin-right:0in;margin-bottom:14.95pt; margin-left:0in;text-align:center;line-height:23.25pt;-webkit-text-stroke: #000090'><span class=s1><span style='font-size:20.0pt;font-family:Times;mso-fareast-font-family: "Times New Roman";color:#000090'>The University of Texas at Austin</span></span><span style='font-size:20.0pt;font-family:Times;mso-fareast-font-family:"Times New Roman"; color:#000090'><o:p></o:p></span></h2> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:14.95pt;margin-left: 0in;line-height:21.0pt;-webkit-text-stroke: #008000'><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman";color:green'>&nbsp;</span></span><span style='font-family:Times;mso-fareast-font-family:"Times New Roman";color:green'><o:p></o:p></span></h2> <h2 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left: .75in;text-indent:-.5in;line-height:21.0pt;-webkit-text-stroke: #244061'><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"; color:#244061'>Selected Publications</span></span><span style='font-family: Times;mso-fareast-font-family:"Times New Roman";color:#244061'><o:p></o:p></span></h2> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l5 level1 lfo1; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/abs/1802.06723"><span class=s3>On Learning the <span class=SpellE>c</span> Rule: Single and Multi-server Settings</span></a>, Subhashini <span class=SpellE>Krishnasamy</span>, Ari Arapostathis, Ramesh Johari, and Sanjay <span class=SpellE>Shakkottai</span>, </span></span><span class=s4><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>arXiv:1802.06723.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li6 style='margin-left:.5in;text-indent:-.25in;mso-list:l5 level1 lfo1; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s6><span style='mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/abs/1802.04745"><span class=s7>A counterexample to a nonlinear version of the <span class=SpellE>Krein-Rutman</span> theorem by R. Mahadevan</span></a>, Ari Arapostathis, <i>Nonlinear Analysis</i> </span></span><span class=s8><b><span style='mso-fareast-font-family:"Times New Roman"'>171C</span></b></span><span class=s8><span style='mso-fareast-font-family:"Times New Roman"'> (2018), 170-176</span></span><span class=s6><span style='mso-fareast-font-family:"Times New Roman"'>, </span></span><span class=s9><b><span style='font-size:11.5pt;mso-fareast-font-family: "Times New Roman"'>DOI: </span></b></span><span class=s9><span style='font-size:11.5pt;mso-fareast-font-family:"Times New Roman"'><a href="https://www.sciencedirect.com/science/article/pii/S0362546X18300464"><span class=s10><span style='font-size:12.0pt'>10.1016/j.na.2018.02.006</span></span></a></span></span><span class=s6><span style='mso-fareast-font-family:"Times New Roman"'>.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li6 style='margin-left:.5in;text-indent:-.25in;mso-list:l5 level1 lfo1; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s6><span style='mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/abs/1801.07669"><span class=s7>Ergodic control of a class of jump diffusions with finite Lvy measures and rough kernels</span></a>, Ari Arapostathis, Luis <span class=SpellE>Caffarelli</span>, <span class=SpellE>Guodong</span> Pang, and Yi Zheng, </span></span><span class=s11><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>arXiv:1801.07669.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li7 style='margin-left:.5in;text-indent:-.25in;mso-list:l5 level1 lfo1; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s13><span style='mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/abs/1708.09640"><span class=s3>Some Liouville-type results for eigenfunctions of elliptic operators</span></a>, Ari Arapostathis, Anup Biswas, and <span class=SpellE>Debdip</span> <span class=SpellE>Ganguly</span>, </span></span><span class=s4><span style='font-size:10.0pt;mso-fareast-font-family: "Times New Roman"'>arXiv:1708.09640.</span></span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=li7 style='margin-left:.5in;text-indent:-.25in;mso-list:l5 level1 lfo1; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s13><span style='mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/abs/1707.09674"><span class=s3>Ergodicity of Lvy-driven SDEs arising from multiclass many-server queues</span></a>, Ari Arapostathis, <span class=SpellE>Guodong</span> Pang, and Nikola <span class=SpellE>Sandric</span>, </span></span><span class=s4><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>arXiv:1707.09674.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li8 style='margin-left:.5in;text-indent:-.25in;mso-list:l5 level1 lfo1; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s14><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/abs/1706.03931"><span class=s3>Infinite horizon asymptotic average optimality for large-scale parallel server networks</span></a>, Ari Arapostathis and <span class=SpellE>Guodong</span> Pang, <i>Stochastic Processes and Their Applications</i> (in press), </span></span><span class=s9><b><span style='font-size:11.5pt;mso-fareast-font-family:"Times New Roman"'>DOI:</span></b></span><span class=s14><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="https://www.sciencedirect.com/science/article/pii/S0304414918300462"><span class=s15>10.1016/j.spa.2018.03.005</span></a></span></span><span class=s16><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l5 level1 lfo1; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/matpur3007.pdf"><span class=s3>Strict monotonicity of principal eigenvalues of elliptic operators in <span class=SpellE>R^d</span> and risk-sensitive control</span></a>, Ari Arapostathis, Anup Biswas, and <span class=SpellE>Subhamay</span> <span class=SpellE>Saha</span>,</span></span><span class=s17><i><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'> </span></i></span><span class=s1><i><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'>Journal des <span class=SpellE>Mathmatiques</span> <span class=SpellE>Pures</span> et <span class=SpellE>Appliques</span></span></i></span><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> (in press), </span></span><span class=s9><b><span style='font-size:11.5pt;mso-fareast-font-family: "Times New Roman"'>DOI:</span></b></span><span class=s14><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://authors.elsevier.com/sd/article/S0021782418300783"><span class=s15>10.1016/j.matpur.2018.05.008</span></a>.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l5 level1 lfo1; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AOP17.pdf"><span class=s3>Controlled equilibrium selection in stochastically perturbed dynamics</span></a>, Ari Arapostathis, Anup Biswas, and <span class=SpellE>Vivek</span> S. <span class=SpellE>Borkar</span>, <i>Annals of Probability</i> (to appear)</span></span><span class=s4><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l5 level1 lfo1; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/abs/1602.03275"><span class=s3>Infinite horizon average optimality of the N-network queueing model in the <span class=SpellE>Halfin</span>-Whitt regime</span></a>, Ari Arapostathis and <span class=SpellE>Guodong</span> Pang, <i>Mathematics of Operations Research</i>, Articles in Advance, </span></span><span class=s9><b><span style='font-size:11.5pt;mso-fareast-font-family:"Times New Roman"'>DOI: </span></b></span><span class=s9><span style='font-size:11.5pt;mso-fareast-font-family: "Times New Roman"'><a href="https://pubsonline.informs.org/doi/10.1287/moor.2017.0886"><span class=s10><span style='font-size:12.0pt'>10.1287/moor.2017.0886</span></span></a></span></span><span class=s18><span style='mso-fareast-font-family:"Times New Roman"'>.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l2 level1 lfo2; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/abs/1605.03989"><span class=s3>Some new results on sample path optimality in ergodic control of diffusions</span></a>, Ari Arapostathis, <i>IEEE Trans. Automat. Control</i> <b>62 </b>(2017), no. 10, 5351-5356, </span></span><span class=s9><b><span style='font-size:11.5pt; mso-fareast-font-family:"Times New Roman"'>DOI: </span></b></span><span class=s9><span style='font-size:11.5pt;mso-fareast-font-family:"Times New Roman"'><a href="http://ieeexplore.ieee.org/document/7842624/"><span class=s10><span style='font-size:12.0pt'>10.1109/TAC.2017.2664342</span></span></a></span></span><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'>.&nbsp;</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li8 style='margin-left:.5in;text-indent:-.25in;mso-list:l2 level1 lfo2; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s14><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/abs/1601.00258"><span class=s7>Infinite horizon risk-sensitive control of diffusions without any blanket stability assumptions</span></a>, </span></span><span class=s19><span style='mso-fareast-font-family:"Times New Roman"'> </span></span><span class=s14><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'>Ari Arapostathis and Anup Biswas, <i>Stochastic Processes and Their Applications</i> <b>128</b> (2018), no. 5, 1485-1524, </span></span><span class=s9><b><span style='font-size:11.5pt;mso-fareast-font-family:"Times New Roman"'>DOI:</span></b></span><span class=s14><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://www.sciencedirect.com/science/article/pii/S0304414917301928?via%3Dihub"><span class=s15>10.1016/j.spa.2017.08.001</span></a></span></span><span class=s16><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li8 style='margin-left:.5in;text-indent:-.25in;mso-list:l2 level1 lfo2; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s14><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA17-SIAM.pdf"><span class=s7>A correction to 'A relative value iteration algorithm for nondegenerate controlled diffusions'</span></a>, Ari Arapostathis and <span class=SpellE>Vivek</span> S. <span class=SpellE>Borkar</span>, <i>SIAM J. Control <span class=SpellE>Optim</span>.</i> <b>55</b> (2017), no. 3, 1711-1715</span></span><span class=s19><span style='mso-fareast-font-family:"Times New Roman"'>.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l2 level1 lfo2; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA17-JMPA.pdf"><span class=s3>On solutions of mean field games with ergodic cost</span></a>, Ari Arapostathis, Anup Biswas and Carroll Johnson, <i>Journal des <span class=SpellE>Mathmatiques</span> <span class=SpellE>Pures</span> et <span class=SpellE>Appliques</span> </i><b>107 </b>(2017), no. 2, 205-251.</span></span><span class=s20><span style='mso-fareast-font-family:"Times New Roman"'>&nbsp;</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l4 level1 lfo3; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA16-CPDE.pdf"><span class=s3>The Dirichlet problem for stable-like operators and related probabilistic representations</span></a>, Ari Arapostathis, Anup Biswas and Luis <span class=SpellE>Caffarelli</span>, <i>Comm. Partial Differential Equations</i> <b>41</b> (2016), no. 9, 1472-1511.</span></span><span class=s20><span style='mso-fareast-font-family: "Times New Roman"'>&nbsp;</span></span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l3 level1 lfo4; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA16-AAP.pdf"><span class=s3>Ergodic diffusion control of multiclass multi-pool networks in the <span class=SpellE>Halfin</span> Whitt regime</span></a>, Ari Arapostathis and <span class=SpellE>Guodong</span> Pang, <i>Annals of Applied Probability</i>&nbsp;<b>26</b> (2016), no. 5, 3110-3153.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo5; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA16-JTP.pdf"><span class=s3>Risk-sensitive control and an abstract <span class=SpellE>Collatz</span> <span class=SpellE>Wielandt</span> formula</span></a>, Ari Arapostathis, <span class=SpellE>Vivek</span> S. <span class=SpellE>Borkar</span> and K. Suresh Kumar, <i>J. <span class=SpellE>Theoret</span>. <span class=SpellE>Probab</span>.</i> <b>29</b>&nbsp;(2016), no. 4, 1458-1484.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA15-AAP.pdf"><span class=s3>Ergodic control of multi-class M/M/N+M queues in the <span class=SpellE>Halfin</span>-Whitt regime</span></a>, Ari Arapostathis, Anup Biswas and <span class=SpellE>Guodong</span> Pang, <i>Annals of Applied Probability</i>&nbsp;<b>25</b> (2015), no. 6, 3511-3570.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA15-IEEE.pdf"><span class=s3>Resource allocation: realizing mean-variability-fairness tradeoffs</span></a>, Vinay Joseph, Gustavo de <span class=SpellE>Veciana</span> and Ari Arapostathis, <i>IEEE Trans. Automat. Control</i> <b>60</b>&nbsp;(2015), no. 1, 19-33.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li6 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s6><span style='mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA14-SIAM.pdf"><span class=s7>Convergence of the relative value iteration for the ergodic control problem of nondegenerate diffusions under near-monotone costs</span></a>, Ari Arapostathis, <span class=SpellE>Vivek</span> S. <span class=SpellE>Borkar</span> and K. Suresh Kumar, <i>SIAM J. Control <span class=SpellE>Optim</span>.</i> &nbsp;<span class=GramE><b>52</b>&nbsp; (</span>2014), no. 1, 1-31.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="https://arxiv.org/pdf/1210.8188v2.pdf"><span class=s3>Relative value iteration for stochastic differential games</span></a>, Ari Arapostathis, <span class=SpellE>Vivek</span> S. <span class=SpellE>Borkar</span> and K. Suresh Kumar, Advances in dynamic games, 3--27, <i>Ann. <span class=SpellE>Internat.</span> Soc. <span class=SpellE>Dynam</span>. Games, 13,</i> <span class=SpellE>Birkhuser</span>/Springer, Cham, 2013.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA13-SIAM.pdf"><span class=s3>Aspiration learning in coordination games</span></a>, Georgios C. <span class=SpellE>Chasparis</span>, Ari Arapostathis and Jeff S. <span class=SpellE>Shamma</span>, <i>SIAM J. Control <span class=SpellE>Optim</span>.</i> <b>51</b> (2013), no. 1, 465-490.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA12-SIAM.pdf"><span class=s3>A relative value iteration algorithm for non-degenerate controlled diffusions</span></a>, Ari Arapostathis and <span class=SpellE>Vivek</span> S. <span class=SpellE>Borkar</span>, <i>SIAM J. Control <span class=SpellE>Optim</span>.</i> <b>50</b> (2012), no. 4, 1886-1902.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s21><span style='mso-fareast-font-family:"Times New Roman"'><a href="http://www.cambridge.org/us/knowledge/isbn/item6456730/?site_locale=en_US"><span class=s22><i>Ergodic Control of Diffusion Processes</i></span></a></span></span><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'>, Ari Arapostathis, <span class=SpellE>Vivek</span> S. <span class=SpellE>Borkar</span> and Mrinal K. Ghosh, Encyclopedia of Mathematics and its Applications, vol. 143, Cambridge University Press, Cambridge, 2012.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA12-OneFest.pdf"><span class=s3>On the policy iteration algorithm for non-degenerate controlled diffusions under the ergodic criterion</span></a>, Ari Arapostathis, <i>Optimization, control, and applications of stochastic systems</i>, 1-12, Systems Control Found. Appl., <span class=SpellE>Birkhuser</span>/Springer, New York, 2012.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA11-JMAA.pdf"><span class=s3>On the adaptive control of a class of partially observed Markov decision processes</span></a>, Shun-Pin Hsu and Ari Arapostathis, <i>Journal of Mathematical Analysis and Applications</i> <b>380</b>, 1-9, 2011.</span></span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA10-SICON.pdf"><span class=s3>Uniform recurrence properties of controlled diffusions and applications to optimal control</span></a>, Ari Arapostathis and <span class=SpellE>Vivek</span> S. <span class=SpellE>Borkar</span>, <i>SIAM Journal of Control and Optimization</i><b> 48</b>(7), 4181-4223, 2010.</span></span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA08-TAC2.pdf"><span class=s3>Necessary and sufficient conditions for state equivalence to a nonlinear discrete-time observer canonical form</span></a>, Hong-<span class=SpellE>Gi</span> Lee, Ari Arapostathis and Steven I. Marcus, <i>IEEE Transactions on Automatic Control</i>, <b>AC-53</b>(11), 2701-2707, 2008.</span></span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA08-TAC1.pdf"><span class=s3>Optimal sensor querying: general Markovian and LQG models with controlled observations</span></a>, Wei Wu and Ari Arapostathis, <i>IEEE Transactions on Automatic Control</i>, <b>AC-53</b>(11), 1392-1405, 2008.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA07-SCL.pdf"><span class=s3>Stability and controllability of planar, <span class=SpellE>conewise</span> linear systems</span></a>, Ari Arapostathis and Mireille <span class=SpellE>Broucke</span>, <i>Systems and Control Letters</i> <b>56</b>, 150-158, 2007.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA06-TAC.pdf"><span class=s3>Optimal power allocation for a time-varying wireless channel under heavy-traffic approximation</span></a>, Wei Wu, Ari Arapostathis and Sanjay <span class=SpellE>Shakkottai</span>, <i>IEEE Transactions on Automatic Control</i>, <b>AC-51</b>(4), 580-594, 2006.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li6 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s6><span style='mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA06-SCL.pdf"><span class=s7>On the existence of stationary optimal policies for partially observed MDPs under the long-run average cost criterion</span></a>, Shun-Pin Hsu, Dong-Ming Chuang and Ari Arapostathis, <i>Systems and Control Letters</i> <b>55</b>(2), 165-173, 2006.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA03-TAC2.pdf"><span class=s3>Linearization of discrete-time systems via restricted dynamic feedback</span></a>, Hong-<span class=SpellE>Gi</span> Lee, Ari Arapostathis and Steven I. Marcus, <i>IEEE Transactions on Automatic Control</i> <b>AC-4</b>(9), 1646-1650, 2003.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA03-TAC1.pdf"><span class=s3>Controlled Markov chains with safety upper bound</span></a>, Ari Arapostathis, <span class=SpellE>Ratnesh</span> Kumar and Sekhar <span class=SpellE>Tangirala</span>, <i>IEEE Transactions on Automatic Control</i> <b>AC-48</b>(7), 1230-1234, 2003.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA02-SCL.pdf"><span class=s3>Continuous selections of trajectories of hybrid systems</span></a>, M. <span class=SpellE>Broucke</span> and A. Arapostathis, <i>Systems and Control Letters</i> <b>47</b>, 149-157, 2002.</span></span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA01-JMAA.pdf"><span class=s3>Continuous interpolation of solutions of Lipschitz inclusions</span></a>, M. <span class=SpellE>Broucke</span> and A. Arapostathis, <i>Journal of Mathematical Analysis and Applications</i> <b>258</b>, 565-572, 2001.&nbsp;</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <a href="http://users.ece.utexas.edu/~ari/Papers/AA01-SCL.pdf"><span class=s3>On the controllability of a class of nonlinear stochastic systems</span></a>, A. Arapostathis, R. K. George and M. K. Ghosh, <i>Systems and Control Letters</i> <b>44</b>, 25-34, 2001.&nbsp;</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=li5 style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo6; tab-stops:list .5in'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=s1><span style='font-family:Times;mso-fareast-font-family:"Times New Roman"'> <span class=SpellE><a href="http://users.ece.utexas.edu/~ari/Papers/AA99-CPDE.pdf"><span class=s3>Harnack's</span><span class=s3> inequality for cooperative weakly coupled elliptic systems</span></a></span>, A. Arapostathis, M. K. Ghosh and S. I. Marcus, <i>Communications in Partial Differential Equations</i> <b>24</b>, 1555-1571, 1999.</span></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> </div> </body> </html>