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math.DS2022
Distribution of periodic orbits in the homology group of a knot complement
Solly Coles, Richard Sharp
Consider a transitive Anosov flow on a closed -manifold. After removing a finite set of null-homologous periodic orbits, we study the distribution of the remaining periodic orbi…
math.DS2022
Zeta functions in higher Teichmuller theory
Mark Pollicott, Richard Sharp
In this note we introduce zeta functions and L-functions for discrete and faithful representations of surface groups in PSL(d, R), for d >= 3. These are natural generalizations of…