User Tools

Site Tools

Trace: • limite2 • limite1 • start • publications • knieper • aproxlinear • logexp • defended • potrie • teaching
ebsd2021:knieper

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision		Previous revision
ebsd2021:knieper [2021/08/19 14:54] – [References] escolaebsd2021:knieper [2021/10/25 08:13] (current) – tahzibi
Line 1: Line 1:
- ======Measure of maximal entropy and Margulis estimate on the number of periodic orbits in the framework of manifolds (in particular surfaces) without conjugate points.  ======+~~NOTOC~~ 
 +<WRAP center round box 100%> 
 +[[ebsd2021:participantsknieper|Comments, questions of participants 
 +]]</WRAP>  
 +====Measure of maximal entropy and Margulis estimate on the number of periodic orbits in the framework of manifolds (in particular surfaces) without conjugate points.  ==== 
 + 
  
 One of the main questions in smooth ergodic theory is to which extend existence and uniqueness of equilibrium states carry over to dynamical systems with some coarse hyperbolicity. In this lectures, we will study these questions on a class of geometrically defined dynamical systems, namely geodesic flows One of the main questions in smooth ergodic theory is to which extend existence and uniqueness of equilibrium states carry over to dynamical systems with some coarse hyperbolicity. In this lectures, we will study these questions on a class of geometrically defined dynamical systems, namely geodesic flows
Line 94: Line 100:
  
 [[http://www.im.ufrj.br/dynsys/2021-EBSD/seminar-2-Nestor.pdf|Equação de Jacobi, wronskiano, Lagrangianos e relação com pontos conjugados (Nestor)]] [[http://www.im.ufrj.br/dynsys/2021-EBSD/seminar-2-Nestor.pdf|Equação de Jacobi, wronskiano, Lagrangianos e relação com pontos conjugados (Nestor)]]
 +
 +[[http://www.im.ufrj.br/dynsys/2021-EBSD/seminar-3-Nestor.pdf|Lema do índice, teorema de Rauch, estimativas de hiperbolicidade em curvatura negativa
 + (Nestor)]]
  
 <WRAP center round box 60%> <WRAP center round box 60%>
-[[ebsd2021:tema1|Introduction and notation+[[ebsd2021:tema1|The geodesic flow, the tangent bundle $TTM$, Jacobi fields
 ]]</WRAP> ]]</WRAP>
  
 <WRAP center round box 60%> <WRAP center round box 60%>
-[[ebsd2021:tema2|Tema 2+[[ebsd2021:tema2|Geodesic flows in Hamiltonian dynamics
 ]]</WRAP> ]]</WRAP>
 <WRAP center round box 60%> <WRAP center round box 60%>
-[[ebsd2021:tema3|Tema 3+[[ebsd2021:tema3|Jacobi equation in Hamiltonian dynamics
 ]]</WRAP> ]]</WRAP>
 <WRAP center round box 60%> <WRAP center round box 60%>
Line 112: Line 121:
 ]]</WRAP> ]]</WRAP>
 <WRAP center round box 60%> <WRAP center round box 60%>
-[[ebsd2021:tema6|Tema 6+[[ebsd2021:tema6|Hadamard manifolds - part 1 
 +]]</WRAP> 
 +<WRAP center round box 60%> 
 +[[ebsd2021:tema7|Hadarmard manifolds - part 2 
 +]]</WRAP> 
 +<WRAP center round box 60%> 
 +[[ebsd2021:tema8|Boundary at infinity of Hadarmard manifolds 
 +]]</WRAP> 
 +<WRAP center round box 60%> 
 +[[ebsd2021:tema9|Busemann functions and horospherical foliations 
 +]]</WRAP> 
 +<WRAP center round box 60%> 
 +[[ebsd2021:tema10|Poincaré series 
 +]]</WRAP> 
 +<WRAP center round box 60%> 
 +[[ebsd2021:tema11|Limit set
 ]]</WRAP> ]]</WRAP>
 <WRAP center round box 60%> <WRAP center round box 60%>
-[[ebsd2021:tema7|Tema 7+[[ebsd2021:tema12|Busemann density
 ]]</WRAP> ]]</WRAP>
  
ebsd2021/knieper.1629395692.txt.gz · Last modified: 2021/08/19 14:54 by escola