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4 papers · 2 filters
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…
Characterization of invariant measures at the leading edge for competing particle systems
Anastasia Ruzmaikina, Michael Aizenman
We study systems of particles on a line which have a maximum, are locally finite and evolve with independent increments. ``Quasi-stationary states'' are defined as probability meas…
The average amount of information lost in multiplication
Nicholas Pippenger
We show that if X and Y are integers independently and uniformly distributed in the set {1, ..., N}, then the information lost in forming their product (which is given by the equiv…
Random Oxford Graphs
Jonah Blasiak, Rick Durrett
Inspired by a concept in comparative genomics, we investigate properties of randomly chosen members of G_1(m,n,t), the set of bipartite graphs with left vertices, n right verti…