20 citations · 42 across the 10 of their papers we have counts for
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math.DS2022
Uniform quasi-multiplicativity of locally constant cocycles and applications
Reza Mohammadpour, Kiho Park
In this paper, we show that a locally constant cocycle is -quasi multiplicative under the irreducibility assumption. More precisely, we show that if $\mathcal{A}^t…
math.DS2022
Pressure gaps, geometric potentials, and nonpositively curved manifolds
Dong Chen, Lien-Yung Kao, Kiho Park
In this paper, we derive a general pressure gap criterion for closed rank 1 manifolds whose singular sets are given by codimension 1 totally geodesic flat subtori. As an applicatio…
math.DS2022
Construction and applications of proximal maps for typical cocycles
Kiho Park
For typical cocycles over subshifts of finite type, we show that for any given orbit segment, we can construct a periodic orbit such that it shadows the given orbit segment and tha…