3 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…
math.DG2024
Ancient and expanding spin ALE Ricci flows
Isaac M. Lopez, Tristan Ozuch
We classify spin ALE ancient Ricci flows and spin ALE expanding solitons with suitable groups at infinity. In particular, the only spin ancient Ricci flows with groups at infinity…