Cutoff for nonbacktracking random walks on sparse random graphs

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Cutoff for non-backtracking random walks on sparse random graphs

Reduced `-cohomology in degree 1 (for short "LpR1") is a useful quasiisometry invariant of graphs [of bounded valency] whose definition is relatively simple. On a graph, there is a natural gradient operator from functions to vertices to functions on edges defined by looking at the difference of the value on the extremities of the edge. Simply put, this cohomology is the quotient of functions wi...

متن کامل

Cutoff Phenomena for Random Walks on Random Regular Graphs

The cutoff phenomenon describes a sharp transition in the convergence of a family of ergodic finite Markov chains to equilibrium. Many natural families of chains are believed to exhibit cutoff, and yet establishing this fact is often extremely challenging. An important such family of chains is the random walk on G(n, d), a random d-regular graph on n vertices. It is well known that the spectral...

متن کامل

Cutoff Phenomenon for Random Walks on Kneser Graphs

The cutoff phenomenon for an ergodic Markov chain describes a sharp transition in the convergence to its stationary distribution, over a negligible period of time, known as cutoff window. We study the cutoff phenomenon for simple random walks on Kneser graphs, which is a family of ergodic Markov chains. Given two integers n and k, the Kneser graph K(2n+ k, n) is defined as the graph with vertex...

متن کامل

Random Walks on Random Graphs

The aim of this article is to discuss some of the notions and applications of random walks on finite graphs, especially as they apply to random graphs. In this section we give some basic definitions, in Section 2 we review applications of random walks in computer science, and in Section 3 we focus on walks in random graphs. Given a graphG = (V,E), let dG(v) denote the degree of vertex v for all...

متن کامل

Random walks on random graphs

Random walks on random graphs – p. 1/2

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: The Annals of Probability

سال: 2017

ISSN: 0091-1798

DOI: 10.1214/16-aop1100