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：

暂无

中图分类号：

学科分类号：

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.

引用

共 43 条

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[40] Effect of Geometry on the Electromagnetic Wave Transport Properties of Dielectric/Non-magnetized Plasma Photonic Crystals: Comparison of Top-Flat and Top-Curved Refractive Index Profiles
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