On the genealogy of branching random walks and of directed polymers

被引：15

作者：

Derrida, Bernard ^{[1
,2
]}

Mottishaw, Peter ^{[3
]}

机构：

[1] Coll France, 11 Pl Marcelin Berthelot, F-75005 Paris, France

[2] Ecole Normale Super, LPS, 24 Rue Lhomond, F-75005 Paris, France

[3] Univ Edinburgh, Sch Phys & Astron, James Clerk Maxwell Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland

来源：

EPL | 2016年 / 115卷 / 04期

关键词：

REPLICA SYMMETRY-BREAKING; TRAVELING-WAVES; DISORDERED TREES; BROWNIAN-MOTION; SPIN-GLASSES; FLUCTUATIONS; ENERGY; DIMENSIONS; MODEL;

D O I：

10.1209/0295-5075/115/40005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is well known that the mean-field theory of directed polymers in a random medium exhibits replica symmetry breaking with a distribution of overlaps which consists of two delta functions. Here we show that the leading finite-size correction to this distribution of overlaps has a universal character which can be computed explicitly. Our results can also be interpreted as genealogical properties of branching Brownian motion or of branching random walks. Copyright (C) EPLA, 2016

引用

页数：7

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