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math.DS2017★ 13 cited
Ergodic averaging with and without invariant measures
Michael Blank
The classical Birkhoff ergodic theorem in its most popular version says that the time average along a single typical trajectory of a dynamical system is equal to the space average…
math.DS2017
Exponential convergence of solutions for random Hamilton-Jacobi equations
Renato Iturriaga, Konstantin Khanin, Ke Zhang
We show that for a family of randomly kicked Hamiton-Jacobi equations on the torus, almost surely, the solution of an initial value problem converges exponentially fast to the uniq…