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Progress in High-Dimensional Percolation and Random Graphs

percolation. Part III, consisting of Chapters 10-13, describes recent progress in high-dimensional percolation. Partial proofs and substantial;

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Unimodularity in Randomly Generated Graphs

generalization from groups to graphs is successful. The ``randomly generated graphs'', which include percolation graphs, random Erdos-Renyi graphs, and;

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Probability on Trees and Networks

percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding;

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Probability on Trees and Networks

percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding;

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Probability on Graphs

of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle;

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Probability on Graphs

of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle;

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Random Walks on Disordered Media and Their Scaling Limits: École d'Été de Probabilités de Saint-Flour XL - 2010

significant progress on the theory of random walk on disordered media such as fractals and random media. Random walk on a percolation cluster('the ant;

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Stochastic Geometry for Wireless Networks

Covering point process theory, random geometric graphs and coverage processes, this rigorous introduction to stochastic geometry will;

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High-Dimensional Covariance Matrix Estimation

setting, and introduces the basic concepts and major results related to spectral statistics and random matrix theory under high-dimensional;

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Large Covariance and Autocovariance Matrices

in post-graduate courses on high-dimensional statistical inference, high-dimensional random matrices and high-dimensional time series models. It;

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Large Covariance and Autocovariance Matrices

in post-graduate courses on high-dimensional statistical inference, high-dimensional random matrices and high-dimensional time series models. It;

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Foundations of Data Science

-dimensional geometry, and analysis of large networks. Topics include the counterintuitive nature of data in high dimensions, important linear;

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Modern Aspects of Random Matrix Theory

matrices and free probability, numerical algebra, combinatorics and high-dimensional geometry, together with several novel methods and a variety;

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Fractional Dynamics In Comb-like Structures

Random walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular;

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High-Dimensional Probability

High-dimensional probability offers insight into the behavior of random vectors, random matrices, random subspaces, and objects used to;

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Limit Theorems For Associated Random Fields And Related Systems

, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the;

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Random Graphs

, quasirandom graphs, random walks on trees, degree sequences, random matroids, central limit theorems, percolations and random subgraphs of the n-cube;

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Percolation

random Voronoi percolation in the plane is 1/2. Throughout, the presentation is streamlined, with elegant and straightforward proofs requiring;

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Random Graphs

This book is devoted to the study of classical combinatorial structures such as random graphs, permutations, and systems of random linear;

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Random Graphs

This book is devoted to the study of classical combinatorial structures such as random graphs, permutations, and systems of random linear;

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Bayesian and High-Dimensional Global Optimization

portion of this book is devoted to an analysis of high-dimensional global optimization problems and the so-called 'curse of dimensionality'. An;

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Random Motions in Markov and SemiMarkov Random Environments 2

This book is the second of two volumes on random motions in Markov and semi-Markov random environments. This second volume focuses on high;

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Introduction to Random Graphs

The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.;

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Analysis of Random Walks

following topics: One- Dimensional Random Walks; Two-Dimensional Random Walks; the Two-Dimensional Workload Process; and the N-Dimensional Random;

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The Random Matrix Theory of the Classical Compact Groups

spectral measures; concentration of measure with applications both within random matrix theory and in high dimensional geometry; and results on;

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Cambridge Tracts in Mathematics

Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation;

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Cambridge Tracts in Mathematics

Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation;

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