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The Compactness Results of Our Non-Markov Processes With Path Dependency Paper

Written by @classpath | Published on 2025/3/6
TL;DR —
Let us present two results about the compactness of some sets that will be used later in the proof.

Abstract and 1 Introduction

1.1 State of the art

1.2 Some remarks on dynamics and initial condition

1.3 Outline of the paper

1.4 List of notations

2 Large Deviation Principle

2.1 Establishing the LDP for the SID

2.2 Results related to the LDP

2.3 Compactness results

3 Exit-time

3.1 Auxiliary results

3.2 Proof of the main theorem

3.3 Proofs of auxiliary lemmas

4 Generalization and References

2.3 Compactness results

This completes the proof.

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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Written by
@classpath
Class Path leads the way, guiding Java's quest for resources, a winding journey through folders and files.
Topics and
tags
class-path|exit-problem|non-markov-processes|what-is-a-non-markov-process|large-deviation-principle|what-is-the-ldp|the-ldp-explained|the-sid-explained
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Transaction ID: xyarjlR627OJCKMMSFFxuWy6Dg1UUxtHC8-cvbsMbXk