Mar 04, 2025
Exit-Problem for a Class of Non-Markov Processes With Path Dependency: A Peek at the Exit-Time by@classpath
Exit-Problem for a Class of Non-Markov Processes With Path Dependency: A Peek at the Exit-Time
by Class PathMarch 6th, 2025
Too Long; Didn't Read
First, we present the following assumptions on domain G and geometry of the potentials that drive the system inside the domain.Company Mentioned
Table of Links
1.2 Some remarks on dynamics and initial condition
2.1 Establishing the LDP for the SID
2.2 Results related to the LDP
3.3 Proofs of auxiliary lemmas
4 Generalization and References
3 Exit-time
First, we present the following assumptions on domain G and geometry of the potentials that drive the system inside the domain.
Assumptions A-2.
Now, let us remind the main theorem before proving it. Under the sets of Assumptions A-1 and A-2 the following theorem holds:
This paper is available on arxiv under CC BY-SA 4.0 DEED license.
Authors:
(1) Ashot Aleksian, Université Jean Monnet, Institut Camille Jordan, 23, rue du docteur Paul Michelon, CS 82301, 42023 Saint-Étienne Cedex 2, France;
(2) Aline Kurtzmann, Université de Lorraine, CNRS, Institut Elie Cartan de Lorraine UMR 7502, Vandoeuvre-lès-Nancy, F-54506, France;
(3) Julian Tugaut, Université Jean Monnet, Institut Camille Jordan, 23, rue du docteur Paul Michelon, CS 82301, 42023 Saint-Étienne Cedex 2, France.
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