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New posts in ergodic-theory
$\mathcal{M}(X)$ compact in Weak* Topology
functional-analysis
probability-theory
measure-theory
ergodic-theory
Do full rank matrices in $\mathbb Z^{d\times d}$ preserve integrals of functions on the torus?
integration
group-theory
linear-transformations
periodic-functions
ergodic-theory
If $f(x) \le f(Tx)$ then $f(x)=f(Tx)$ almost everywhere ( $T$ is $\mu$-invariant )
measure-theory
dynamical-systems
ergodic-theory
Why is integer approximation of a function interesting?
algebra-precalculus
analysis
approximation
ergodic-theory
A strange bijection without fixed points
combinatorics
functions
discrete-mathematics
ergodic-theory
High-School Level Introduction to Dynamical Systems
dynamical-systems
education
big-list
ergodic-theory
Non-ergodic measure
measure-theory
probability-theory
dynamical-systems
ergodic-theory
The fractional parts of the powers of the golden ratio are not equidistributed in [0,1]
number-theory
dynamical-systems
ergodic-theory
$(n^2 \alpha \bmod 1)$ is equidistributed in $\mathbb{T}^2$ if $\alpha \in \mathbb{R} \setminus \mathbb{Q}$
functional-analysis
ergodic-theory
equidistribution
Why probability measures in ergodic theory?
probability-theory
ergodic-theory
Characterization of a joining over a common subsystem.
functional-analysis
measure-theory
lebesgue-measure
conditional-expectation
ergodic-theory
$L^p$ convergence of certain "average" function
real-analysis
analysis
fourier-analysis
harmonic-analysis
ergodic-theory
Kakutani skyscraper is infinite
measure-theory
probability-theory
dynamical-systems
ergodic-theory
Definition of measure-preserving: why inverse image?
definition
dynamical-systems
ergodic-theory
Calculate $\lim_{n \to\infty}\sqrt[n]{\{\sqrt{2}\}\{2\sqrt{2}\}\{3\sqrt{2}\}\cdots\ \{n\sqrt{2}\} }$
real-analysis
calculus
limits
uniform-distribution
ergodic-theory
Two definitions of ergodicity
measure-theory
ergodic-theory
Pointwise period dynamic have zero entropy
dynamical-systems
entropy
ergodic-theory
K-flow with a finite positive entropy
probability-theory
dynamical-systems
entropy
ergodic-theory
Show that $\lim_{N\to\infty}\int_0^1 \left|\frac1N\sum_{n=1}^N f(x+\xi_n) \right|^{\,2}\, dx = 0$ if $\int_0^1 f(x)\, dx = 0$ and $f$ is periodic
real-analysis
fourier-analysis
ergodic-theory
equidistribution
Prove that the topological entropy $T$ is zero.
general-topology
metric-spaces
dynamical-systems
entropy
ergodic-theory
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