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math.DS2022
Stationary measures for -actions on homogeneous bundles over flag varieties
Alexander Gorodnik, Jialun Li, Cagri Sert
Let be a real semisimple Lie group with finite centre and without compact factors, a parabolic subgroup and a homogeneous space of admitting an equivariant projec…
math.DS2022
Counting and boundary limit theorems for representations of Gromov-hyperbolic groups
Stephen Cantrell, Cagri Sert
Given a Gromov-hyperbolic group endowed with a finite symmetric generating set, we study the statistics of counting measures on the spheres of the associated Cayley graph under…
math.DS2022
Stationary probability measures on projective spaces for block-Lyapunov dominated systems
Richard Aoun, Cagri Sert
Given a finite-dimensional real vector space , a probability measure on and a -invariant subspace , under a block-Lyapunov contraction assumpti…