Zobrazeno 1 - 10
of 38
pro vyhledávání: '"82A51"'
In this paper, we study the upper tail large deviation for the one-dimensional frog model. In this model, sleeping and active frogs are assigned to vertices on $\mathbb Z$. While sleeping frogs do not move, the active ones move as independent simple
Externí odkaz:
http://arxiv.org/abs/2312.02745
Autor:
Fukushima, Ryoki
Publikováno v:
Advanced Studies in Pure Mathematics, 2021: 213-226 (2021)
In this note, we study the directed first passage percolation introduced in [F. Comets, R. Fukushima, S. Nakajima and N. Yoshida: Journal of Statistical Physics, 161-(3), 577-597 (2015)]. It is proved that the shortest path from the origin to the $n$
Externí odkaz:
http://arxiv.org/abs/1912.11728
Autor:
Fukushima, Ryoki, Junk, Stefan
Publikováno v:
Annals of Applied Probability, Vol. 29, No. 6, 2019, 3821-3860
We study a continuum model of directed polymer in random environment. The law of the polymer is defined as the Brownian motion conditioned to survive among space-time Poissonian disasters. This model is well-studied in the positive temperature regime
Externí odkaz:
http://arxiv.org/abs/1810.09600
Autor:
Comets, Francis, Cosco, Clément
We consider a space-time continuous directed polymer in random environment. The path is Brownian and the medium is Poissonian. We review many results obtained in the last decade, and also we present new ones. In this fundamental setup, we can make us
Externí odkaz:
http://arxiv.org/abs/1805.10899
Limiting results for the free energy of directed polymers in random environment with unbounded jumps
Publikováno v:
Journal of Statistical Physics, Volume 161, Issue 3, pp 577-597, 2015
We study asymptotics of the free energy for the directed polymer in random environment. The polymer is allowed to make unbounded jumps and the environment is given by Bernoulli variables. We first establish the existence and continuity of the free en
Externí odkaz:
http://arxiv.org/abs/1504.04505
Autor:
Comets, Francis, Yoshida, Nobuo
Publikováno v:
Comm. Math. Phys. 323 (2013) 417-447
We study a model of directed polymers in random environment in dimension $1+d$, given by a Brownian motion in a Poissonian potential. We study the effect of the density and the strength of inhomogeneities, respectively the intensity parameter $\nu$ o
Externí odkaz:
http://arxiv.org/abs/1206.1231
Autor:
Comets, Francis
In this paper, we consider directed polymers in random environment with long range jumps in discrete space and time. We extend to this case some techniques, results and classifications known in the usual short range case. However, some properties are
Externí odkaz:
http://arxiv.org/abs/math/0603390
Autor:
Comets, Francis, Vargas, Vincent
In this note we give upper bounds for the free energy of discrete polymers in random media. The bounds are given by the so-called generalized multiplicative cascades from the statistical theory of turbulence. For the polymer model, we derive that the
Externí odkaz:
http://arxiv.org/abs/math/0510525
Autor:
Comets, Francis, Yoshida, Nobuo
In this paper, we consider directed polymers in random environment with discrete space and time. For transverse dimension at least equal to 3, we prove that diffusivity holds for the path in the full weak disorder region, i.e., where the partition fu
Externí odkaz:
http://arxiv.org/abs/math/0411223
Autor:
Nakajima, Shuta1 njima@kurims.kyoto-u.ac.jp
Publikováno v:
Journal of Statistical Physics. Jan2019, Vol. 174 Issue 2, p259-275. 17p.
