2 papers
math.DG2025
Dynamical functionals on ancient ARF Ricci flows
Isaac M. Lopez, Rio Schillmoeller
We introduce a dynamical energy functional on compact ancient asymptotically Ricci-flat Ricci flows with modest decay using limits of conjugate heat flows. This functional satisfie…
math.PR2024
A relation between isoperimetry and total variation decay with applications to graphs of non-negative Ollivier-Ricci curvature
Tom Hutchcroft, Isaac M. Lopez
We prove an inequality relating the isoperimetric profile of a graph to the decay of the random walk total variation distance $\sup_{x\sim y} ||P^n(x,\cdot)-P^n(y,\cdot)||_{\mathrm…