WebSep 22, 2024 · A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature Keith Burns, Dong Chen For any rank 1 nonpositively curved surface , it was proved by Burns-Climenhaga-Fisher-Thompson that for any , there exists a unique equilibrium state for , where is the geometric potential.
Equilibrium states for dynamical systems arising from geometry
WebK. BURNS, V. CLIMENHAGA, T. FISHER, AND D. J. THOMPSON Abstract. We study geodesic ows over compact rank 1 manifolds and prove that su ciently regular potential … WebTodd Fisher Department of Mathematics Brigham Young University Fractal Geometry, Hyperbolic Dynamics and Thermodynamical Formalism Joint work with K. Burns, V. Climenhaga, and D. Thompson Todd FIsher (BYU) Equilibrium States 2016. Outline 1 Introduction 2 Surfaces with nonpositive curvature 3 Climenhaga-Thompson program 4 … ospedale negrar lavora con noi
Equilibrium states for dynamical systems arising from geometry
WebA recent breakthrough made by Burns, Climenhaga, Fisher, and Thompson which extended Knieper's result and showed the uniqueness of the equilibrium states for a large class of non-zero potentials, for instance, H\" {o}lder potentials without carrying full pressure on the singular set. WebIn this talk, I will discuss a further generalization of these uniqueness results, following the scheme of Burns-Climenhaga-Fisher-Thompson, to equilibrium states for the same class of potentials over geodesic flows on compact rank 1 surfaces without focal points. This work is an MRC project joint with Dong Chen, Kiho Park, Matthew Smith, and ... WebK Burns, V Climenhaga, T Fisher, DJ Thompson. Geometric and Functional Analysis 28 (5), 1209-1259, 2024. 56: 2024: Lectures on fractal geometry and dynamical systems. YB Pesin, YB Pesin, V Climenhaga. American Mathematical Soc., 2009. 45: 2009: Equilibrium states beyond specification and the Bowen property. ospedale nettuno anzio