Comment on “Non-intersecting Brownian Bridges in the Flat-to-Flat Geometry”

被引：0
|
作者：
Jacek Grela
Satya N. Majumdar
Grégory Schehr
机构：
[1] Jagiellonian University,Institute of Theoretical Physics
[2] LPTMS,Laboratoire de Physique Théorique et Hautes Energies, CNRS UMR 7589
[3] CNRS,undefined
[4] Univ. Paris-Sud,undefined
[5] Université Paris-Saclay,undefined
[6] Sorbonne Université,undefined
来源：
Journal of Statistical Physics | 2023年 / 190卷
关键词：
Conditioned Brownian motions; Rare events; Effective Langevin equation;
D O I：
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摘要：
This is a comment on our recent paper (Grela et al. in J Stat Phys 183:49, 2021). In this comment we provide an easier derivation of the effective Langevin equation for vicious Brownian bridges in the flat-to-flat geometry. This derivation shows that it is not necessary to invoke the intermediate step of mapping to a Dyson Brownian bridge. The result can be directly derived using the Karlin–McGregor formula.
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