7 papers
Synthetic approaches to Ricci flows
Matthias Erbar, Marco Flaim, Eric Hupp +3
We review different notions of synthetic Ricci flow that apply to time-dependent families of metric measure spaces and which are based on properties of the heat flow, ideas from op…
Evolution of internal waves in a 2D subcritical channel
Zhenhao Li, Jian Wang, Jared Wunsch
We study the long time evolution of internal waves in two dimensional subcritical channels with flat horizontal ends. We show the leading profiles of solutions are the outgoing sol…
On the rigidity of Wasserstein contraction along heat flows
Zhenhao Li
We establish an equivalence between the rigidity of Wasserstein contraction along heat flows and the rigidity of Bakry--Ãmery gradient estimates for Lipschitz functions. Applying…
Long time quantum-classical correspondence for open systems in trace norm
Zhenhao Li
We consider a frictionless system coupled to an external Markovian environment. The quantum and classical evolution of such systems are described by the Lindblad and the Fokker-Pla…
Internal waves in a 2D subcritical channel
Zhenhao Li, Jian Wang, Jared Wunsch
We analyze the scattering of linear internal waves in a two dimensional channel with subcritical bottom topography. We construct the scattering matrix for the internal wave problem…
Synthetic notions of Ricci flow for metric measure spaces
Matthias Erbar, Zhenhao Li, Timo Schultz
We develop different synthetic notions of Ricci flow in the setting of time-dependent metric measure spaces based on ideas from optimal transport. They are formulated in terms of d…