Zobrazeno 1 - 10
of 202
pro vyhledávání: '"Thompson, Daniel J."'
Autor:
Dilsavor, Caleb, Thompson, Daniel J.
For a proper geodesically complete CAT(-1) space equipped with a discrete non-elementary action, and a bounded continuous potential with the Bowen property, we construct weighted quasi-conformal Patterson densities and use them to build a Gibbs measu
Externí odkaz:
http://arxiv.org/abs/2309.03297
Autor:
Gould, Matthew J., Clapp, Justin G., Haroldson, Mark A., Costello, Cecily M., Nowak, J. Joshua, Martin, Hans W., Ebinger, Michael R., Bjornlie, Daniel D., Thompson, Daniel J., Dellinger, Justin A., Mumma, Matthew A., Lukacs, Paul M., van Manen, Frank T.
Publikováno v:
In Global Ecology and Conservation October 2024 54
A classical result in thermodynamic formalism is that for uniformly hyperbolic systems, every H\"older continuous potential has a unique equilibrium state. One proof of this fact is due to Rufus Bowen and uses the fact that such systems satisfy expan
Externí odkaz:
http://arxiv.org/abs/2009.09256
Autor:
Thompson, Daniel J., Wang, Tianyu
We consider the geodesic flow for a rank one non-positive curvature closed manifold. We prove an asymptotic version of the Central Limit Theorem for families of measures constructed from regular closed geodesics converging to the Bowen-Margulis-Kniep
Externí odkaz:
http://arxiv.org/abs/2008.08537
Given a compact topological dynamical system (X, f) with positive entropy and upper semi-continuous entropy map, and any closed invariant subset $Y \subset X$ with positive entropy, we show that there exists a continuous roof function such that the s
Externí odkaz:
http://arxiv.org/abs/1909.07317
Autor:
Call, Benjamin, Thompson, Daniel J.
Equilibrium states for geodesic flows over closed rank 1 manifolds were studied recently by Burns, Climenhaga, Fisher and Thompson. For sufficiently regular potentials, it was shown that if the singular set does not carry full pressure then the equil
Externí odkaz:
http://arxiv.org/abs/1906.09315
Publikováno v:
J. \'Ec. Polytech. Math. 7 (2020), pgs. 201-231
We prove that the geodesic flow on a locally CAT(-1) metric space which is compact, or more generally convex cocompact with non-elementary fundamental group, can be coded by a suspension flow over an irreducible shift of finite type with H\"older roo
Externí odkaz:
http://arxiv.org/abs/1808.04395
We consider suspension flows with continuous roof function over the full shift $\Sigma$ on a finite alphabet. For any positive entropy subshift of finite type $Y \subset \Sigma$, we explictly construct a roof function such that the measure(s) of maxi
Externí odkaz:
http://arxiv.org/abs/1708.00550
We study geodesic flows over compact rank 1 manifolds and prove that sufficiently regular potential functions have unique equilibrium states if the singular set does not carry full pressure. In dimension 2, this proves uniqueness for scalar multiples
Externí odkaz:
http://arxiv.org/abs/1703.10878
Autor:
Thompson, Daniel J.
Publikováno v:
Notices of the American Mathematical Society; Sep2024, Vol. 71 Issue 8, p1037-1040, 4p