Continuous reparameterizations of geodesic flows correspond one-to-one with hyperbolic metric potentials on the fundamental group, with periods matching stable lengths.
Counting, mixing and equidis- tribution for GPS systems with applications to relatively Anosov groups.arXiv e-prints, page arXiv:2404.09718, April 2024
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SPR groups with continuous GPS systems admit finite BMS measures on flow spaces, yielding new examples in higher rank Lie groups beyond relatively Anosov groups.
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A geometric correspondence for reparameterizations of geodesic flows
Continuous reparameterizations of geodesic flows correspond one-to-one with hyperbolic metric potentials on the fundamental group, with periods matching stable lengths.
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Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems
SPR groups with continuous GPS systems admit finite BMS measures on flow spaces, yielding new examples in higher rank Lie groups beyond relatively Anosov groups.