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Flows driven by multi-indices rough paths

delete2025-11-01
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PRE
AI
C
Carlo Bellingeri
Y
Yvain Bruned *
Y
Yingtong Hou
DOI:10.1016/j.jde.2025.113931delete
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Abstract

Abstract

En 中文
In this work, we introduce a solution theory for scalar-valued rough differential equations driven by multi-indices rough paths. To achieve this task, we will show how the flow approach using the log-ODE method introduced by Bailleul fits perfectly in this setting. In addition, we also describe the action of the translation of multi-indices rough paths at the level of rough differential equations. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keywords:
DIFFERENTIAL-EQUATIONS
RENORMALIZATION
SPACE

Journal

J
Journal of Differential Equations
IF:
2.3
Papers:
421
Citations:
0

Organization

U
universite de haute-alsace (uha)
Scholars:
1.7K
Papers: 1.2K
Citations: 1
U
universites de strasbourg etablissements associes
Scholars:
2.5W
Papers: 1.8W
Citations: 19
Cited Papers

Cited Papers

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A rough path perspective on renormalization
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errY. Bruned; I. Chevyrev; P.K. Friz; R. Preiß
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The geometry of the space of branched rough paths
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err2020-03-18
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PREAI
errNikolas Tapia; Lorenzo Zambotti
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Ramification of rough paths
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err2010-02-01
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PREAI
errMassimiliano Gubinelli
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A diagram-free approach to the stochastic estimates in regularity structures
err2024-09-01
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PREAI
errLinares,Pablo; Otto,Felix; Tempelmayr,Markus; Tsatsoulis,Pavlos
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