3 papers
math.DS2021
Uniform exponential contraction for viscous Hamilton-Jacobi equations
Konstantin Khanin, Ke Zhang, Lei Zhang
The well known phenomenon of exponential contraction for solutions to the viscous Hamilton-Jacobi equation in the space-periodic setting is based on the Markov mechanism. However,…
math.DS2018
Diffusion limit for a slow-fast standard map
Alex Blumenthal, Jacopo De Simoi, Ke Zhang
Consider the map , which is conjugate to the Chirikov standard map with a large parameter. The parameter value $…
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…