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Stochastic Geometry

  1. D. Stoyan, W. S. Kendall, and J. Mecke, Stochastic Geometry and its Applications, 2nd edition, John Wiley and Sons, 1995 (1st ed. 1987).

  2. J. Møller and D. Stoyan, Stochastic Geometry and Random Tessellations, in Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, Eds. R. van de Weijgaert, G. Vegter, V. Icke and J. Ritzerveld, Springer-Verlag, 2008.

  3. S. Zuyev, "Stochastic Geometry and Telecommunications Networks," in Stochastic Geometry: Highlights, Interactions and New Perspectives, W. S. Kendall and I. Molchanov, Eds., Oxford University Press, 2009.

 

Point Processes

  1. D. J. Daley and D. Vere-Jones, An Introduction to the Theory of Point Processes, Springer, New York, 1st ed. 1988.
                                               2nd Edition: Vol. I: Elementary Theory and Methods, Springer, New York, 2003.
                                                                 Vol. II: General Theory and Structure, Springer, New York, 2003.

  2. J. F. C. Kingman, Poisson Processes, Oxford University Press, Oxford, 1993.

  3. D. R. Cox and V. Isham, Point Processes, Chapman & Hall, London, 1980.

 

Percolation Theory

  1. M. Franceschetti and R. Meester, Random Networks for Communication: from Statistical Physics to Information Systems, Cambridge University Press, Cambridge, 2007.

  2. R. Meester and R. Roy, Continuum Percolation, Cambridge University Press, Cambridge, 1996.

  3. G. Grimmett, Percolation, Springer-Verlag, New York, 1st ed. 1989 - 2nd ed. 1999.

  4. H. Kesten, Percolation Theory for Mathematicians, Birkhäuser, Boston, 1982.

  5. D. Stauffer and A. Aharony, Introduction to Percolation Theory, Taylor & Francis, London, 2nd ed. 1992.

  6. B. Bollobás and O. Riordan, Percolation, Cambridge University Press, Cambridge, 2006.

 

Random Geometric Graphs

  1. M. Penrose, Random Geometric Graphs, Oxford University Press, Oxford, 2003.

  2. B. Bollobás, Modern Graph Theory, Springer-Verlag, New York, 1998.

  3. G. Matheron, Random Sets and Integral Geometry, John Wiley and Sons, New York, 1975.

  4. S. Janson, T. Luczak, A. Rucinski, Random Graphs, Wiley-Interscience, New York, 2000.

  5. R. Durrett, Random Graph Dynamics, Cambridge University Press, Cambridge, 2006.

 

Tessellation

  1. A. Okabe, B. Boots, and K. Sugihara, Spatial Tessellations, John Wiley & Sons, New York, 1st ed. 1992 - 2nd ed. 2000.

  2. J. Møller, Lectures on Random Voronoi Tessellations, in Lecture Notes in Statistics 87, Springer-Verlag, 1994.

 

Capacity Scaling Laws

  1. F. Xue and P. R. Kumar, "Scaling Laws for Ad Hoc Wireless Networks: An Information Theoretic Approach," Foundations and Trends in Networking, vol. 1, no. 2, pp. 145–270, 2006.


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Last updated: 02/26/09.