Lyapunov exponents and synchronisation by noise for systems of SPDEs
Gess B, Tsatsoulis P (2024)
Annals of Probability 52(5): 1903-1953.
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Einrichtung
Abstract / Bemerkung
Quantitative estimates for the top Lyapunov exponents for systems of stochastic reaction-diffusion equations are proven. The treatment includes reaction potentials with degenerate minima. The proof relies on an asymptotic expansion of the invariant measure, with careful control on the resulting error terms. As a consequence of these estimates, synchronisation by noise is deduced for systems of stochastic reaction-diffusion equations for the first time.
Stichworte
Systems of stochastic reaction-diffusion equations;
Lyapunov exponents;
synchronisation by noise
Erscheinungsjahr
2024
Zeitschriftentitel
Annals of Probability
Band
52
Ausgabe
5
Seite(n)
1903-1953
ISSN
0091-1798
Page URI
https://pub.uni-bielefeld.de/record/2992532
Zitieren
Gess B, Tsatsoulis P. Lyapunov exponents and synchronisation by noise for systems of SPDEs. Annals of Probability. 2024;52(5):1903-1953.
Gess, B., & Tsatsoulis, P. (2024). Lyapunov exponents and synchronisation by noise for systems of SPDEs. Annals of Probability, 52(5), 1903-1953. https://doi.org/10.1214/24-AOP1690
Gess, Benjamin, and Tsatsoulis, Pavlos. 2024. “Lyapunov exponents and synchronisation by noise for systems of SPDEs”. Annals of Probability 52 (5): 1903-1953.
Gess, B., and Tsatsoulis, P. (2024). Lyapunov exponents and synchronisation by noise for systems of SPDEs. Annals of Probability 52, 1903-1953.
Gess, B., & Tsatsoulis, P., 2024. Lyapunov exponents and synchronisation by noise for systems of SPDEs. Annals of Probability, 52(5), p 1903-1953.
B. Gess and P. Tsatsoulis, “Lyapunov exponents and synchronisation by noise for systems of SPDEs”, Annals of Probability, vol. 52, 2024, pp. 1903-1953.
Gess, B., Tsatsoulis, P.: Lyapunov exponents and synchronisation by noise for systems of SPDEs. Annals of Probability. 52, 1903-1953 (2024).
Gess, Benjamin, and Tsatsoulis, Pavlos. “Lyapunov exponents and synchronisation by noise for systems of SPDEs”. Annals of Probability 52.5 (2024): 1903-1953.
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