P. P. Varj'u

activity

20102022

most citedAbsolute continuity of Bernoulli convolutions for algebraic parameters

45 citations · 191 across the 18 of their papers we have counts for

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2020★ 16 cited

Mixing time of the Chung--Diaconis--Graham random process

Sean Eberhard, Péter P. Varjú

Define $(X_{n})$ on $Z / q Z$ by $X_{n + 1} = 2 X_{n} + b_{n}$ , where the steps $b_{n}$ are chosen independently at random from $- 1, 0, + 1$ . The mixing time of this random walk…

math.PR2019

Cut-off phenomenon for the ax+b Markov chain over a finite field

Emmanuel Breuillard, Péter P. Varjú

We study the Markov chain $x_{n + 1} = a x_{n} + b_{n}$ on a finite field $F_{p}$ , where $a \in F_{p}$ is fixed and $b_{n}$ are independent and identically distributed random vari…

math.PR2014★ 14 cited

Random walks in the group of Euclidean isometries and self-similar measures

Elon Lindenstrauss, Péter P. Varjú

We study products of random isometries acting on Euclidean space. Building on previous work of the second author, we prove a local limit theorem for balls of shrinking radius with…