Aran Raoufi

activity

20162026

most citedExponential decay of connection probabilities for subcritical Voronoi percolation in

R^{d}

6 citations · 6 across the 3 of their papers we have counts for

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Showing 2016 · math.PRShow all

3 papers · 2 filters

math.PR2016

Indicable groups and $p_{c} < 1$

Aran Raoufi, Ariel Yadin

A conjecture of Benjamini & Schramm from 1996 states that any finitely generated group that is not a finite extension of Z has a non-trivial percolation phase. Our main results pro…

math.PR2016

A note on continuity of magnetization at criticality for the ferromagnetic Ising model on amenable quasi-transitive graphs with exponential growth

Aran Raoufi

The purpose of this modest note is to point out that the proof of the recent result of Huchcroft concerning continuity of phase transition in Bernoulli percolation is applicable to…

math.PR2016

A new computation of the critical point for the planar random-cluster model with $q \geq 1$

Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion

We present a new computation of the critical value of the random-cluster model with cluster weight $q \geq 1$ on $Z^{2}$ . This provides an alternative approach to the result o…

Indicable groups and pc​<1

A note on continuity of magnetization at criticality for the ferromagnetic Ising model on amenable quasi-transitive graphs with exponential growth

A new computation of the critical point for the planar random-cluster model with q≥1

Indicable groups and $p_{c} < 1$

A new computation of the critical point for the planar random-cluster model with $q \geq 1$