Robin Pemantle

activity

19952022

most citedA survey of random processes with reinforcement

588 citations · 741 across the 78 of their papers we have counts for

collaborators

Showing 2014 · math.PRShow all

2 papers · 2 filters

math.PR2014★ 6 cited

Four Random Permutations Conjugated by an Adversary Generate $S_{n}$ with High Probability

Robin Pemantle, Yuval Peres, Igor Rivin

We prove a conjecture dating back to a 1978 paper of D.R.\ Musser~\cite{musserirred}, namely that four random permutations in the symmetric group $S_{n}$ generate a transit…

math.PR2014

Zeros of a random analytic function approach perfect spacing under repeated differentiation

Robin Pemantle, Sneha Subramanian

We consider an analytic function $f$ whose zero set forms a unit intensity Poisson process on the real line. We show that repeated differentiation causes the zero set to converge i…

Four Random Permutations Conjugated by an Adversary Generate Sn​ with High Probability

Zeros of a random analytic function approach perfect spacing under repeated differentiation

Four Random Permutations Conjugated by an Adversary Generate $S_{n}$ with High Probability