Integrability of pushforward measures by analytic maps

Itay Glazer, Yotam I. Hendel, Sasha Sodin

Given a map $\varphi :X\to Y$ between $F$-analytic manifolds over a local field $F$ of characteristic $0$, we introduce an invariant ${\epsilon }_{\star }(\varphi )$ which quantifies the integrabil…