5 papers
Free energy dissipation and a decomposition of general jump diffusions on without detailed balance
Shuyuan Fan, Qi Zhang
We analyze the thermodynamic structure of jump diffusions combining Brownian and Poisson noise, a class of stochastic dynamics relevant to non-equilibrium statistical physics. For…
Laplace comparison on Kähler Ricci flow and convergence
Gang Tian, Qi S. Zhang, Zhenlei Zhang +2
We first prove a uniform integral Laplace comparison result for the Kähler Ricci flow on Fano manifolds which depends only on the initial metric. As an application, using Cheeger-…
Entropy production rate and time-reversibility for general jump diffusions on
Qi Zhang, Yubin Lu
This paper investigates the entropy production rate and time-reversibility for general jump diffusions (Lévy processes) on . We first formulate the entropy productio…
Backward Harnack inequality and Hamilton estimates for heat type equations
Juanling Lu, Yuting Wu, Qi S. Zhang
Based on gradient estimates for the heat equation by Hamilton, we discover a backward in time Harnack inequality for positive solutions on compact manifolds without further restric…
Space of ancient caloric functions on some manifolds beyond volume doubling
Fanghua Lin, Hongbing Qiu, Jun Sun +1
Under a condition that breaks the volume doubling barrier, we obtain a time polynomial structure result on the space of ancient caloric functions with polynomial growth on manifold…