Spectral Gaps in Wasserstein Distances and the 2D Stochastic Navier-Stokes Equations
Spectral Gaps in Wasserstein Distances and the 2D Stochastic Navier-Stokes Equations
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Cleveland, OH: Institute of Mathematical Statistics
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English
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Cleveland, OH: Institute of Mathematical Statistics
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We develop a general method to prove the existence of spectral gaps for Markov semigroups on Banach spaces. Unlike most previous work, the type of norm we consider for this analysis is neither a weighted supremum norm nor an Ł^{p}\text{-type}$ norm, but involves the derivative of the observable as well and hence can be seen as a type of 1-Wasserste...
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Spectral Gaps in Wasserstein Distances and the 2D Stochastic Navier-Stokes Equations
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TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1229696596
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1229696596
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ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/08-AOP392