Convergence of the Law of the Environment Seen by the Particle for Directed Polymers in Random Media in the L2 Region

被引：0

作者：

Gregorio Moreno

机构：

[1] Université Paris 7,Mathématiques

[2] Pontificia Universidad Católica de Chile,Facultad de Matemáticas

来源：

Journal of Theoretical Probability | 2010年 / 23卷

关键词：

Directed polymers in random media; Environment seen by the particle; Limit theorems; 60K37; 60F05; 82B44;

D O I：

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学科分类号：

摘要：

We consider the model of directed polymers in an i.i.d. Gaussian or bounded environment (Imbrie and Spencer in J. Stat. Phys. 52(3/4), 609–626, 1988; Carmona and Hu in Probab. Theory Relat. Fields 124(3), 431–457, 2002; Comets et al. in Adv. Stud. Pure Math. 39, 115–142, 2004) in the L2 region. We prove the convergence of the law of the environment seen by the particle.

引用

页码：466 / 477

页数：11

共 13 条

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Moreno, Gregorio
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[8] The effect of the prompt particle environment at L2 on optical CCDs for astronomy and astrophysics
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[9] A remark on the bound for the free energy of directed polymers in random environment in 1+2 dimension
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[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (09)
[10] Non-directed polymers in heavy-tail random environment in dimension d ≥ 2
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[J]. ELECTRONIC JOURNAL OF PROBABILITY, 2022, 27

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