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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
6
votes
0
answers
162
views
Quantitive and computational improvement of the Oseledets multiplicative ergodic theorem for...
Consider irrational rotation $T:S^1\to S^1, T(x) = x + \alpha$ where $\alpha\notin \mathbb{Q}$ (you may assume additional number theoretic properties of $\alpha$, say $\alpha = \sqrt{2}$ is already in …
6
votes
Accepted
Given any finite relation $R$ what is the cardinality of $\langle R\rangle=\{\underbrace{R\c...
$\newcommand{\N}{\mathbb{N}}$
Recall that Landau function $g(n)$ is the biggest possible $\mbox{lcm}$ of numbers wich sum up to $n$. It's asymptotic is well-studied.
I'll prove the following
$\textbf{ …