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Understanding logarithmic law for geodesics

I was reading this seminal paper https://projecteuclid.org/journals/acta-mathematica/volume-149/issue-none/Disjoint-spheres-approximation-by-imaginary-quadratic-numbers-and-the-logarithm/10.1007/...
User1723's user avatar
  • 337
4 votes
1 answer
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When entropy SRB measure is zero

It is well known that many strongly chaotic dynamical systems have the property that periodic measures are (weak-star) dense in the space of all invariant probability measures. Let $f:M \rightarrow ...
Adam's user avatar
  • 1,043
2 votes
0 answers
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Algebraic approach to prove the mixing property of Lorenz flow on hyperbolic surface

We knew that the noncompact subgroups of SL(2,$\mathbb{R}$) are mixing by Howe-Moore ergodicity theorem. I am curious about Lorenz flow, if we have a algebraic approach to prove the mixing property of ...
Skid Row's user avatar