Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3

Gess B, Tsatsoulis P (2020)
Stochastics and Dynamics 20(6): 2040006.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Gess, BenjaminUniBi; Tsatsoulis, Pavlos
Abstract / Bemerkung
We prove uniform synchronization by noise with rates for the stochastic quantization equation in dimensions two and three. The proof relies on a combination of coming down from infinity estimates and the framework of order-preserving Markov semigroups derived in [O. Butkovsky and M. Scheutzow, Couplings via comparison principle and exponential ergodicity of SPDEs in the hypoelliptic setting, preprint (2019), arXiv:1907.03725]. In particular, it is shown that this framework can be applied to the case of state spaces given in terms of Holder spaces of negative exponent.
Stichworte
Synchronization by noise; stochastic Allen-Cahn equation; stochastic; quantization equation; coming down from infinity
Erscheinungsjahr
2020
Zeitschriftentitel
Stochastics and Dynamics
Band
20
Ausgabe
6
Art.-Nr.
2040006
ISSN
0219-4937
eISSN
1793-6799
Page URI
https://pub.uni-bielefeld.de/record/2948624

Zitieren

Gess B, Tsatsoulis P. Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3. Stochastics and Dynamics. 2020;20(6): 2040006.
Gess, B., & Tsatsoulis, P. (2020). Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3. Stochastics and Dynamics, 20(6), 2040006. doi:10.1142/S0219493720400067
Gess, B., and Tsatsoulis, P. (2020). Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3. Stochastics and Dynamics 20:2040006.
Gess, B., & Tsatsoulis, P., 2020. Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3. Stochastics and Dynamics, 20(6): 2040006.
B. Gess and P. Tsatsoulis, “Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3”, Stochastics and Dynamics, vol. 20, 2020, : 2040006.
Gess, B., Tsatsoulis, P.: Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3. Stochastics and Dynamics. 20, : 2040006 (2020).
Gess, Benjamin, and Tsatsoulis, Pavlos. “Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3”. Stochastics and Dynamics 20.6 (2020): 2040006.

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