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20012022
most citedFirst-order transitions for n-vector models in two and more dimensions; rigorous proof

83 citations · 418 across the 31 of their papers we have counts for

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14 papers · 1 filter

math.PR2022★ 5 cited

The Airy process and the 3D Ising model

Patrik L. Ferrari, Senya Shlosman

The Ferrari-Spohn diffusion process arises as limit process for the 2D Ising model as well as random walks with area penalty. Motivated by the 3D Ising model, we consider such…

math.PR2020★ 16 cited

Critical prewetting in the 2d Ising model

Dmitry Ioffe, Sébastien Ott, Senya Shlosman +1

In this paper we develop a detailed analysis of critical prewetting in the context of the two-dimensional Ising model. Namely, we consider a two-dimensional nearest-neighbor Ising…

math.PR2020★ 11 cited

Brownian flights over a circle

Alexander Vladimirov, Senya Shlosman, Sergei Nechaev

The stationary radial distribution, , of the random walk with the diffusion coefficient , which winds with the tangential velocity around the impenetrable disc of radi…

math.PR2017★ 5 cited

Metastability of Queuing Networks with Mobile Servers

F. Baccelli, A. Rybko, S. Shlosman +1

We study symmetric queuing networks with moving servers and FIFO service discipline. The mean-field limit dynamics demonstrates unexpected behavior which we attribute to the meta-s…

math.PR2017

Formation of Facets for an Effective Model of Crystal Growth

Dmitry Ioffe, Senya Shlosman

We study an effective model of microscopic facet formation for low temperature three dimensional microscopic Wulff crystals above the droplet condensation threshold. The model we c…

math.PR2016★ 1 cited

Propagation of Chaos and Poisson Hypothesis

Serge Pirogov, Alexander Rybko, Senya Shlosman +1

We establish the Strong Poisson Hypothesis for symmetric closed networks. In particular, the asymptotic independence of the nodes -- as the size of the system tends to infinity --…