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math.GT2021
Pressure metrics for cusped Hitchin components
Harrison Bray, Richard Canary, Lien-Yung Kao +1
We study the cusped Hitchin component consisting of (conjugacy classes of) cusped Hitchin representations of a torsion-free geometrically finite Fuchsian group into PSL(d,R). We pr…
math.GT2021★ 1 cited
A closed ball compactification of a maximal component via cores of trees
Giuseppe Martone, Charles Ouyang, Andrea Tamburelli
We show that, in the character variety of surface group representations into the Lie group , the compactification of t…
math.DS2021
Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations
Harrison Bray, Richard Canary, Lien-Yung Kao +1
We show that if an eventually positive, non-arithmetic, locally Hölder continuous potential for a topologically mixing countable Markov shift with (BIP) has an entropy gap at infin…