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- Title
Cutoff Ergodicity Bounds in Wasserstein Distance for a Viscous Energy Shell Model with Lévy Noise.
- Authors
Barrera, G.; Högele, M. A.; Pardo, J. C.; Pavlyukevich, I.
- Abstract
This article establishes explicit non-asymptotic ergodic bounds in the renormalized Wasserstein–Kantorovich–Rubinstein (WKR) distance for a viscous energy shell lattice model of turbulence with random energy injection. The system under consideration is driven either by a Brownian motion, a symmetric α -stable Lévy process, a stationary Gaussian or α -stable Ornstein–Uhlenbeck process, or by a general Lévy process with second moments. The obtained non-asymptotic bounds establish asymptotically abrupt thermalization. The analysis is based on the explicit representation of the solution of the system in terms of convolutions of Bessel functions.
- Subjects
LEVY processes; BESSEL functions; TURBULENCE; NOISE
- Publication
Journal of Statistical Physics, 2024, Vol 191, Issue 9, p1
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-024-03308-6