This content originally appeared on HackerNoon and was authored by Class Path
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
2.1 Establishing the LDP for the SID
In this section, we prove LDP for Self-Interacting diffusions of the type (1.7). First, we introduce the following group of main assumptions.
\ Assumptions A-1.
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\ Consider the following theorem that is the main result of the section.
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\ Use Lipschitz continuity of ∇V , ∇F (Assumption A-1.ii) and get:
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\ Therefore, by Grönwall’s inequality
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\ it means the continuity of the map G for any possible x ∈ X.
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:::info This paper is available on arxiv under CC BY-SA 4.0 DEED license.
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:::info 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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This content originally appeared on HackerNoon and was authored by Class Path
Class Path | Sciencx (2025-03-05T03:00:13+00:00) Establishing the LDP for the SID: What Does It Mean?. Retrieved from https://www.scien.cx/2025/03/05/establishing-the-ldp-for-the-sid-what-does-it-mean/
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