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
1.2 Some remarks on dynamics and initial condition
Let us introduce some notation and notions that will be useful to describe laconically later derivations in this paper.
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\ As before, we define marginal deterministic system that corresponds to the equation (1.7) as
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\ Hereafter, we will drop one part of the subscript or both (initial conditions and σ) if it is clear which one of the equations is meant. Though, to avoid confusion we will always use the subscript 0 to emphasize that we consider specifically the deterministic system. For x such that Tx = ∞ we naturally extend the definition of the processes (1.7) and (1.8) as
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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 (2025-03-04T02:39:45+00:00) Dynamics and Initial Condition: A Quick Rundown. Retrieved from https://www.scien.cx/2025/03/04/dynamics-and-initial-condition-a-quick-rundown/
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