Graduate Texts in Mathematics(共230册), 这套丛书还有 《Mathematical Logic (3/e)》《Homology Theory》《Braid Groups (Graduate Texts in Mathematics)》《Partial Differential Equations》《The Finite Simple Groups》 等。 我要写书评 Random Walks on Infinite Groups的书评 ···(全部 0 条) 论坛· ...
This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symme...
that time, I feel not much ink must be written on my face, very superficial appearance. I find myself wanting to be let a person look is elegant, full of the appearance of the scroll. We know that the first impression is very important. Read more ...
The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case,...
Free semigroupsFree groupsWe consider random walks on finitely or countably generated free semigroups, and identify their Poisson boundaries for classes of measures which fail to meet the classical entropy criteria, namely measures with infinite entropy or infinite logarithmic moment....
theory based on ideas surrounding Gromov's theorem.\nThe book will be of interest to mature undergraduate and graduate students in mathematics who are familiar with basic group theory and topology, and who wish to learn more about geometric, analytic, and probabilistic aspects of infinite groups....
We give also a detailed analysis of ergodicity properties for special classes of random walks on homogeneous spaces and for associated homeomorphisms with infinite invariant measure. The structural properties of closed subgroups of linear groups over local fields and the properties of group actions with...
Consider a scenario; a drunkard walks on a street, and at each step he can randomly go forward or backward. This forms a random walk in one dimension. If this drunkard walks on a football pitch, he can walk in any direction randomly, which becomes a two-dimensional random walk. Mathemati...
05 Infinite Systems of Linear Equations 49:58 Fluctuations in the distribution of Frobenius automorphisms in number field exte 56:12 Filtrations, Mild groups and Arithmetic in an Equivariant context 50:55 Dynamics and Wakes of a Fixed and Freely Moving Angular Particle in an Inertial 42:40 ...
Random walks and physical models on infinitegraphs: an introductionRaffaella Burioni, Davide Cassi andAlessandro VezzaniAbstract.This paper is a review of some basic mathematical ideas and results, concerningthe relations between random walks and physical models on infinite graphs from the physicistspoint...