Entropy and Escape of Mass for Hilbert Modular Spaces

2011/01/24 by Shirali Kadyrov, Kadyrov, Shirali
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS

paper · pdf · doi:10.48550/arxiv.1101.4658

openalex publication_date 2011/01/24 · arxiv created 2011/11/26 · arxiv updated 2011/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the relation between metric entropy and escape of mass for the Hilbert modular spaces with the action of a diagonal element.

Citations

• Equidistribution of expanding measures with local maximal dimension and Diophantine Approximation
• Entropy and escape of mass for SL(3,Z)\SL(3,R)

Related

• Entropy and escape of mass for SL(3,Z)\SL(3,R)
• Positive Entropy Invariant Measures on the Space of Lattices with Escape of Mass
• Escape of mass and entropy for diagonal flows in real rank one situations
• High entropy measures on the space of lattices with escape of mass
• An entropy bound due to symmetries