Skorokhod energy of planar domains

Mrabet Becher; Maher Boudabra; Fathi Haggui

doi:10.1016/j.jmaa.2025.129641

Skorokhod energy of planar domains

Mrabet Becher, Maher Boudabra, Fathi Haggui^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this work, we introduce the Skorokhod energy of a simply connected domain. We show that among all domains solving the planar Skorokhod embedding problem, the Gross solution generates the domain with the minimal Skorokhod energy.

Original language	English
Article number	129641
Journal	Journal of Mathematical Analysis and Applications
Volume	551
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2025.129641
State	Published - 1 Nov 2025

Bibliographical note

Publisher Copyright:
© 2025 Elsevier Inc.

Keywords

Planar Brownian motion
Planar Skorokhod embedding problem
Symmetric decreasing rearrangement

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2025.129641

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title = "Skorokhod energy of planar domains",

abstract = "In this work, we introduce the Skorokhod energy of a simply connected domain. We show that among all domains solving the planar Skorokhod embedding problem, the Gross solution generates the domain with the minimal Skorokhod energy.",

keywords = "Planar Brownian motion, Planar Skorokhod embedding problem, Symmetric decreasing rearrangement",

author = "Mrabet Becher and Maher Boudabra and Fathi Haggui",

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year = "2025",

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T1 - Skorokhod energy of planar domains

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AU - Boudabra, Maher

AU - Haggui, Fathi

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AB - In this work, we introduce the Skorokhod energy of a simply connected domain. We show that among all domains solving the planar Skorokhod embedding problem, the Gross solution generates the domain with the minimal Skorokhod energy.

KW - Planar Brownian motion

KW - Planar Skorokhod embedding problem

KW - Symmetric decreasing rearrangement

UR - https://www.scopus.com/pages/publications/105004833569

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DO - 10.1016/j.jmaa.2025.129641

M3 - Article

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SN - 0022-247X

VL - 551

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

M1 - 129641

ER -

Skorokhod energy of planar domains

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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