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Results tagged with ds.dynamical-systems
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user 203717
Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
0
votes
(Exponential) mixing property for Gauss map — going from cylinders to intervals
Maybe an alternate would be to apply Lemma $3$ again at this step -
\begin{equation}
\begin{split}
||E_1\cap T^{-n}F| - |E_1||F|| &\leq |G_1\cap T^{-n}F| + |E_1||F|\\
&\leq |G_1||F|\left(1+ Cq^{\sqrt{ …
- 21
2
votes
1
answer
360
views
(Exponential) mixing property for Gauss map — going from cylinders to intervals
I'm trying to understand the proof of a mixing property of the Gauss map from the paper - 'Some metrical theorems in number theory' and I'm getting confused by the logic in a step.
The Gauss map $T$, …
- 21