Rigidity of Higher-Rank Lattice Actions via Measure-Theoretic Entropy and Leafwise Cohomology
Abstract
We establish local rigidity for algebraic actions of higher-rank lattices exhibiting positive entropy by analyzing the obstruction classes in leafwise cohomology groups associated to Weyl chamber flows and establishing a Livsic-type theorem for transfinite Sobolev distributions.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Markov Chains and Monte Carlo Methods
Geometric and Algebraic Topology
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 January 2026