Ergodicity of the Weil–Petersson Geodesic Flow

Autor: Amie Wilkinson, Howard Masur, Keith Burns
Rok vydání: 2017
Předmět:
Zdroj: Lecture Notes in Mathematics ISBN: 9783319430584
DOI: 10.1007/978-3-319-43059-1_4
Popis: We describe the proof that the geodesic flow for the Weil–Petersson metric on the moduli space of Riemann surfaces is ergodic and in fact Bernoulli. Other chapters in this volume complement this summary by describing in depth the needed implementation of the Hopf argument and some of the pertinent aspects of moduli spaces of Riemann surfaces (and Teichmuller theory).
Databáze: OpenAIRE