6 citations · 6 across the 7 of their papers we have counts for
8 papers
Odd mapping cone Chern character
Hao Zhuang
Our previous work established the mapping cone Chern character on the even-degree side, using the powers of the mapping cone curvature associated with the given mapping cone connec…
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-C…
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…
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 production…
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…
A rigidity result for ancient Ricci flows
Qi S. Zhang
Using a size condition of the sharp log Sobolev functional (log entropy) near infinity only, we prove a rigidity result for ancient Ricci flows without sign condition on the curvat…
On ancient solutions of the heat equation
Fanghua Lin, Qi S. Zhang
An explicit representation formula for all positive ancient solutions of the heat equation in the Euclidean case is found. In the Riemannian case with nonnegative Ricci curvature,…