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Lengths of monotone subsequences in a Mallows permutation

- Nayantara Bhatnagar, R. Peled
- Mathematics
- 16 June 2013

We study the length of the longest increasing and longest decreasing subsequences of random permutations drawn from the Mallows measure. Under this measure, the probability of a permutation $$\uppi… Expand

On the Cycle Structure of Mallows Permutations

- Alexey Gladkich, R. Peled
- Mathematics
- 26 January 2016

We study the length of cycles of random permutations drawn from the Mallows distribution. Under this distribution, the probability of a permutation $\pi \in \mathbb{S}_n$ is proportional to… Expand

Gravitational allocation to Poisson points

- S. Chatterjee, R. Peled, Y. Peres, D. Romik
- Mathematics
- 28 November 2006

For d ≥ 3, we construct a non-randomized, fair and translationequivariant allocation of Lebesgue measure to the points of a standard Poisson point process in R d , defined by allocating to each of… Expand

High-Dimensional Lipschitz Functions are Typically Flat

- R. Peled
- Mathematics
- 25 May 2010

A homomorphism height function on the d-dimensional torus Z_n^d is a function on the vertices of the torus taking integer values and constrained to have adjacent vertices take adjacent integer… Expand

On the transition between the disordered and antiferroelectric phases of the 6-vertex model.

- A. Glazman, R. Peled
- Mathematics
- 8 September 2019

The symmetric six-vertex model with parameters $a,b,c>0$ is expected to exhibit different behavior in the regimes $a+b c$ (ferroelectric). In this work, we study the way in which the transition… Expand

Longest increasing path within the critical strip

- P. Dey, Mathew Joseph, R. Peled
- Mathematics
- 25 August 2018

A Poisson point process of unit intensity is placed in the square $[0,n]^2$. An increasing path is a curve connecting $(0,0)$ with $(n,n)$ which is non-decreasing in each coordinate. Its length is… Expand

Probabilistic existence of regular combinatorial structures

- G. Kuperberg, Shachar Lovett, R. Peled
- MathematicsArXiv
- 2 November 2011

TLDR

Exponential Decay of Correlations in the 2D Random Field Ising Model

- M. Aizenman, Matan Harel, R. Peled
- PhysicsJournal of Statistical Physics
- 15 July 2019

An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model’s order parameter in terms of disagreement percolation. This… Expand

Phase Transitions in Gravitational Allocation

- S. Chatterjee, R. Peled, Y. Peres, D. Romik
- Physics
- 26 March 2009

Given a Poisson point process of unit masses (“stars”) in dimension d ≥ 3, Newtonian gravity partitions space into domains of attraction (cells) of equal volume. In earlier work, we showed the… Expand

Probabilistic existence of rigid combinatorial structures

- G. Kuperberg, Shachar Lovett, R. Peled
- MathematicsSTOC '12
- 2 November 2011

TLDR

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