most citedSlow Emergence of Cooperation for Win-Stay Lose-Shift on Trees

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math.PR20051 cited

Slow Emergence of Cooperation for Win-Stay Lose-Shift on Trees

Elchanan Mossel, Sebastien Roch

We consider a group of agents on a graph who repeatedly play the prisoner's dilemma game against their neighbors. The players adapt their actions to the past behavior of their oppo…

math.PR200539 cited

Noise stability of functions with low influences: invariance and optimality

Elchanan Mossel, Ryan O'Donnell, Krzysztof Oleszkiewicz

In this paper we study functions with low influences on product probability spaces. The analysis of boolean functions with low influences has become a central problem in discrete F…

math.PR20042 cited

Non-interactive correlation distillation, inhomogeneous Markov chains, and the reverse Bonami-Beckner inequality

Elchanan Mossel, Ryan O'Donnell, Oded Regev +2

In this paper we study non-interactive correlation distillation (NICD), a generalization of the study of noise sensitivity of boolean functions. We extend the model to NICD on tree…

math.PR20041 cited

A Law of Large Numbers for Weighted Majority

Olle Haggstrom, Gil Kalai, Elchanan Mossel

Consider an election between two candidates in which the voters' choices are random and independent and the probability of a voter choosing the first candidate is . Condorce…

math.PR2004

Coin flipping from a cosmic source: On error correction of truly random bits

Elchanan Mossel, Ryan O'Donnell

We study a problem related to coin flipping, coding theory, and noise sensitivity. Consider a source of truly random bits $x \in \bits^n$, and parties, who have noisy versions…

math.PR2004

Shuffling by semi-random transpositions

Elchanan Mossel, Yuval Peres, Alistair Sinclair

In the cyclic-to-random shuffle, we are given n cards arranged in a circle. At step k, we exchange the k'th card along the circle with a uniformly chosen random card. The problem o…