Microsoft (United States)

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20022022

most citedNon-Abelian Anyons and Topological Quantum Computation

7k citations

Showing 2014 · math.PRShow all

2 papers · 2 filters

math.PR2014★ 7 cited

Restrictions of Brownian motion

Richárd Balka, Yuval Peres

Let ${B (t) : 0 \leq t \leq 1}$ be a linear Brownian motion and let $dim$ denote the Hausdorff dimension. Let $α > \frac{1}{2}$ and $1 \leq β \leq 2$ . We prove that, almost surely, t…

math.PR2014

Permuted Random Walk Exits Typically in Linear Time

Shirshendu Ganguly, Yuval Peres

Given a permutation sigma of the integers {-n,-n+1,...,n} we consider the Markov chain X_{sigma}, which jumps from k to sigma (k\pm 1) equally likely if k\neq -n,n. We prove that t…