Dynamics and Rigidity through the Lens of Circles

2025/10/12 by Oh, Hee · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2510.10771

Abstract

We report on recent developments in the dynamics and rigidity of infinite-volume homogeneous spaces, viewed through the lens of circles. By addressing four natural questions about circle packings, we highlight the interplay between dynamics, geometry, and rigidity that defines the emerging frontier of homogeneous dynamics.

Citations

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Cited by

• Properness and finiteness of totally geodesic submanifolds in the convex core
• Classification of horospherical invariant measures in higher rank

Related

• Measure Rigidity beyond Homogeneous Dynamics
• Almost all circle polyhedra are rigid
• Rigidity of infinite inversive distance circle packings in the plane
• Infinite rigidity of inversive distance circle packings in the Poincaré disk
• Rigidity, lattices and invariant measures beyond homogeneous dynamics