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math.PR2020

On the expected number of real roots of random polynomials arising from evolutionary game theory

V. H. Can, M. H. Duong, V. H. Pham

In this paper, we obtain finite estimates and asymptotic formulas for the expected number of real roots of two classes of random polynomials arising from evolutionary game theory.…

math.PR2020

Random connection models in the thermodynamic regime: central limit theorems for add-one cost stabilizing functionals

Van Hao Can, Khanh Duy Trinh

The paper deals with a random connection model, a random graph whose vertices are given by a homogeneous Poisson point process on , and edges are independently drawn…

math.PR2019

Glauber dynamics for Ising models on random regular graphs: cut-off and metastability

Van Hao Can, Remco van der Hofstad, Takashi Kumagai

Consider random -regular graphs, i.e., random graphs such that there are exactly edges from each vertex for some . We study both the configuration model version of t…

math.PR2019

Passage time of the frog model has a sublinear variance

Van Hao Can, Shuta Nakajima

In this paper, we show that the first passage time in the frog model on with has a sublinear variance. This implies that the central limit theorem does not holds a…

math.PR2019

Annealed Ising model on configuration models

Van Hao Can, Cristian Giardinà, Claudio Giberti +1

In this paper, we study the annealed ferromagnetic Ising model on the configuration model. In an annealed system, we take the average on both sides of the ratio {defining the Boltz…

math.PR2017

A cramér type moderate deviation theorem for the critical curie-weiss model

Van Hao Can, Viet-Hung Pham

In this paper we study the moderate deviations for the magnetization of critical Curie-Weiss model. Chen, Fang and Shao considered a similar problem for non-critical model by using…