Victor Gerasimov
Universidade Federal de Minas Gerais
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Publication
Featured researches published by Victor Gerasimov.
Communications in Mathematical Physics | 2003
Aldo Procacci; Benedetto Scoppola; Victor Gerasimov
Abstract: Given an infinite graph 𝔾 quasi-transitive and amenable with maximum degree Δ, we show that reduced ground state degeneracy per site Wr(𝔾, q) of the q-state antiferromagnetic Potts model at zero temperature on 𝔾 is analytic in the variable 1/q, whenever |2Δe3/q|<1. This result proves, in an even stronger formulation, a conjecture originally sketched in [12] and explicitly formulated in [16 and 19], based on which a sufficient condition for Wr(𝔾, q) to be analytic at 1/q=0 is that 𝔾 is a regular lattice.
Geometric and Functional Analysis | 2009
Victor Gerasimov
Geometric and Functional Analysis | 2012
Victor Gerasimov
Journal of the European Mathematical Society | 2013
Victor Gerasimov; Leonid Potyagailo
arXiv: Group Theory | 2011
Victor Gerasimov; Leonid Potyagailo
Groups, Geometry, and Dynamics | 2015
Victor Gerasimov; Leonid Potyagailo
arXiv: Group Theory | 2010
Victor Gerasimov
International Mathematics Research Notices | 2016
Victor Gerasimov; Leonid Potyagailo
Crelle's Journal | 2016
Victor Gerasimov; Leonid Potyagailo
arXiv: Group Theory | 2017
Ilya Gekhtman; Victor Gerasimov; Leonid Potyagailo; Wenyuan Yang
