Hausdorff dimension of limit sets for projective Anosov representations

Olivier Glorieux; Daniel Monclair; Nicolas Tholozan

doi:10.5802/jep.241

journal article Aug 22, 2023

Hausdorff dimension of limit sets for projective Anosov representations

Olivier Glorieux Daniel Monclair Nicolas Tholozan

Journal de l’École polytechnique — Mathématiques Vol. 10 pp. 1157-1193 · MathDoc/Centre Mersenne

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Abstract

We study the relation between critical exponents and Hausdorff dimensions of limit sets for projective Anosov representations. We prove that the Hausdorff dimension of the symmetric limit set in

P

(

ℝ
n

)

×
P

(

ℝ
n

*

)

is bounded between two critical exponents associated respectively to a highest weight and a simple root.

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Published: Aug 22, 2023
Vol/Issue: 10
Pages: 1157-1193

Authors

Cite This Article

Olivier Glorieux, Daniel Monclair, Nicolas Tholozan (2023). Hausdorff dimension of limit sets for projective Anosov representations. Journal de l’École polytechnique — Mathématiques, 10, 1157-1193. https://doi.org/10.5802/jep.241

Hausdorff dimension of limit sets for projective Anosov representations

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