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Shadowing in the presence of singularities: oriented versus standard shadowing, entropy and the structure of recurrent sets
Sakshi Jain, Piotr Oprocha, Elias Rego
We study two shadowing properties for flows that differ in the allowed reparametrizations of time: oriented shadowing permits arbitrary increasing reparametrizations, whereas stand…
Annealed Ruelle-Pollicott Resonances
Sakshi Jain, Maxence Phalempin
We adapt the theory of Ruelle-Pollicott resonances to annealed random dynamical systems generated by independent and identically distributed families of maps. Introducing annealed…
Optimal response for stochastic differential equations in with perturbations on the drift term
Gianmarco Del Sarto, Franco Flandoli, Stefano Galatolo +2
We study stochastic differential equations on the -dimensional flat torus with drift and perturbation coefficients in and…
Ergodic Decomposition
Sakshi Jain, Shah Faisal
Ergodic systems, being indecomposable are important part of the study of dynamical systems but if a system is not ergodic, it is natural to ask the following question: Is it possib…