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math.PR2022
Lyapunov exponents and synchronisation by noise for systems of SPDEs
B. Gess, P. Tsatsoulis
Quantitative estimates for the top Lyapunov exponents for systems of stochastic reaction-diffusion equations are proven. The treatment includes reaction potentials with degenerate…
math.PR2022
Gradient-type estimates for the dynamic -model
Florian Kunick, Pavlos Tsatsoulis
We prove gradient bounds for the Markov semigroup of the dynamic -model on a torus of fixed size . For sufficiently large mass these estimates imply exponential c…