Pressure metrics in geometry and dynamics
Yan Mary He, Homin Lee, Insung Park
TL;DR
This paper surveys pressure metrics across deformation spaces in geometry, topology, and dynamics, and explores pressure semi-norms and their degeneracy in quasi-Blaschke products.
Contribution
It provides a comprehensive overview of pressure metrics and introduces analysis of pressure semi-norms in a specific class of functions.
Findings
Pressure metrics are applied to various deformation spaces.
Pressure semi-norms can degenerate in certain loci.
The paper connects geometric, topological, and dynamical perspectives.
Abstract
In this article, we first provide a survey of pressure metrics on various deformation spaces in geometry, topology, and dynamics. Then we discuss pressure semi-norms and their degeneracy loci in the space of quasi-Blaschke products
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Taxonomy
TopicsGas Dynamics and Kinetic Theory