Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3
2020 ◽
Vol 20
(06)
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pp. 2040006
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Keyword(s):
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 Hölder spaces of negative exponent.
2020 ◽
Vol 490
(1)
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pp. 124237
Keyword(s):
2019 ◽
Vol 276
(2)
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pp. 636-657
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Keyword(s):
2003 ◽
pp. 345-356
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2006 ◽
Vol 170
(1)
◽
pp. 93-100
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2011 ◽
Vol 173
(2)
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pp. 1141-1183
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2005 ◽
Vol 16
(5-6)
◽
pp. 489-497
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Keyword(s):