New posts in Ergodic Theory

$\lim\limits_{n \to\infty}\sqrt[n]{\{\sqrt{2}\}\{2\sqrt{2}\}\{3\sqrt{2}\}\cdot\cdot \cdot \cdot \{n\sqrt{2}\} } $

A strange bijection without fixed points

Can a sequence converges modulo every r>0 but diverge?

Is there a Birkhoff's Ergodic Theorem for multivariate functions?

If $f$ is in the span of eigenfunctions, then $|f|$ is also in the span of eigenfunctions.

Ergodicity of tent map

The "muscle" behind the fact that ergodic measures are mutually singular

The prime numbers do not satisfies Benford's law

Sequences similar to $\{n\alpha\}$ that are both equidistributed and truly random-like

Analog of the Birkhoff's ergodic theorem for the sequence of squares