Thermodynamic metrics on outer space
Sign Up to like & getrecommendations! Published in 2022 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2021.165
Abstract: In this paper we consider two piecewise Riemannian metrics defined on the Culler–Vogtmann outer space which we call the entropy metric and the pressure metric. As a result of work of McMullen, these metrics can… read more here.
Keywords: petersson metric; outer space; weil petersson; metrics outer ... See more keywords
Smoothness and strongly pseudoconvexity of p-Weil–Petersson metric
Sign Up to like & getrecommendations! Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2019.4413
Abstract: The Teichmüller space of a Riemann surface of analytically finite type has a complex structure modeled on the complex Hilbert space consisting of harmonic Beltrami differentials on the surface equipped with hyperbolic L-norm. The Weil–… read more here.
Keywords: ller space; teichm ller; petersson metric; space ... See more keywords