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
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页数：7
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