Random Graphs and Complex Networks
by Remco van der Hofstad
Publisher: Eindhoven University of Technology 2010
Number of pages: 363
Description:
These lecture notes are intended to be used for master courses, where the students have a limited prior knowledge of special topics in probability. Therefore, we have included many of the preliminaries, such as convergence of random variables, probabilistic bounds, coupling, martingales and branching processes. These notes are aimed to be self-contained, and to give the readers an insight in the history of the field of random graphs.
Download or read it online for free here:
Download link
(3.8MB, PDF)
Similar books

by David Nualart - The University of Kansas
From the table of contents: Stochastic Processes (Probability Spaces and Random Variables, Definitions and Examples); Jump Processes (The Poisson Process, Superposition of Poisson Processes); Markov Chains; Martingales; Stochastic Calculus.
(9020 views)

by Paul E Pfeiffer - Connexions
This textbook covers most aspects of advanced and applied probability. The book utilizes a number of user defined m-programs, in combination with built in MATLAB functions, for solving a variety of probabilistic problems.
(9258 views)

by S.R.S. Varadhan - New York University
Topics: Brownian Motion; Diffusion Processes; Weak convergence and Compactness; Stochastic Integrals and Ito's formula; Markov Processes, Kolmogorov's equations; Stochastic Differential Equations; Existence and Uniqueness; Girsanov Formula; etc.
(7346 views)

by Vladislav Kargin - arXiv
Contents: Non-commutative Probability Spaces; Distributions; Freeness; Asymptotic Freeness of Random Matrices; Asymptotic Freeness of Haar Unitary Matrices; Free Products of Probability Spaces; Law of Addition; Limit Theorems; Multivariate CLT; etc.
(5716 views)