Newbetuts

An intuitive explanation of how the mathematical definition of ergodicity implies the layman's interpretation 'all microstates are equally likely'.

Endomorphisms preserve Haar measure

Ergodicity of a skew product

Ergodic action of a group

Conditional expectation is $T$-invariant in a measure preserving system.

If $f \circ V=f$ implies $f$ is constant, then $V$ must be ergodic.

Chaos and ergodicity in hamiltonian systems

Why is the first return map measure preserving?

Why is unique ergodicity important or interesting?

Example of a compact topological space $M$ such that $\mathcal M_1(M)$ is not compact.

Are there infinitely many $n$ such that $2^n$ and $3^n$ both have first digit $7$? (exercise in ergodic theory)

An equivalent condition for strong-mixing

Showing a Transformation increases measure (Ergodic Theory)

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

New posts in ergodic-theory

Conditional expectation of pullback of sigma algebra

Your Favourite Application of the Birkhoff Ergodic Theorem

Effective equidistribution

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

Krylov-Bogoliubov for measurable transformations

The Bernoulli measure of points with a dense orbit in $\Sigma(2)$ is $1$

An intuitive explanation of how the mathematical definition of ergodicity implies the layman's interpretation 'all microstates are equally likely'.

Endomorphisms preserve Haar measure

Ergodicity of a skew product

Ergodic action of a group

Conditional expectation is $T$-invariant in a measure preserving system.

If $f \circ V=f$ implies $f$ is constant, then $V$ must be ergodic.

Chaos and ergodicity in hamiltonian systems

Why is the first return map measure preserving?

Why is unique ergodicity important or interesting?

Example of a compact topological space $M$ such that $\mathcal M_1(M)$ is not compact.

Are there infinitely many $n$ such that $2^n$ and $3^n$ both have first digit $7$? (exercise in ergodic theory)

An equivalent condition for strong-mixing

Showing a Transformation increases measure (Ergodic Theory)

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