Lyapunov 1-form for diffusion processes
Diego S. Ledesma
TL;DR
This paper extends Lyapunov 1-forms to diffusion processes to analyze their long-term behavior, providing examples and conditions for their existence.
Contribution
It introduces a novel extension of Lyapunov 1-forms to diffusion processes and establishes conditions for their existence.
Findings
Provided examples illustrating the concept
Derived conditions for the existence of Lyapunov 1-forms in diffusion processes
Enhanced understanding of asymptotic behavior of diffusion processes
Abstract
We extend the concept of Lyapunov 1-forms for the case of diffu- sion processes to study its asymptotic behavior. We give some examples and a condition for the existence of these objects.
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Taxonomy
Topicsadvanced mathematical theories · Quantum chaos and dynamical systems · Mathematical Dynamics and Fractals