On ergodic properties for systems of degenerate Stochastic Differential Equations
Author(s)
Colombo, Jérémy
Editor(s)
Publisher
Université de Neuchâtel
Date issued
November 2025
Number of pages
178 pages
Subjects
Markov process stochastic differential equations ecological model Rosenzweig-MacArthur degenerate noise invariant probability measure stochastic persistence Hörmander condition extinction almost-sure convergence rate of convergence self-interacting diffusion asymptotic strong Feller prop- erty infinite-dimensional models asymptotic coupling unique ergodicity Processus de Markov équations différentielles stochastiques modèle écologique Rosenzweig- MacArthur bruit dégénéré mesure de probabilité invariante persistance stochastique condition de Hörmander convergence presque-sûre taux de convergence diffusion auto-interactive propriété asymptotique fortement Feller modèles à dimension infinie couplage asymptotique ergodicité unique
Notes
Accepted upon the recommendation of the jury:
Prof. Michel Benaïm University of Neuchâtel, CH Thesis Director
Prof. Christian Mazza University of Fribourg, CH Reviewer
Prof. Felix Schlenk University of Neuchâtel, CH Reviewer
Dr. Edouard Strickler CNRS, University of Lorraine, FR Reviewer
Successfully defended on 20 November 2025
No de thèse : 3222
Prof. Michel Benaïm University of Neuchâtel, CH Thesis Director
Prof. Christian Mazza University of Fribourg, CH Reviewer
Prof. Felix Schlenk University of Neuchâtel, CH Reviewer
Dr. Edouard Strickler CNRS, University of Lorraine, FR Reviewer
Successfully defended on 20 November 2025
No de thèse : 3222
Publication type
doctoral thesis
File(s)