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Jun
23
answered If $f(x) \le f(Tx)$ then $f(x)=f(Tx)$ almost everywhere ( $T$ is $\mu$-invariant )
May
20
comment Torus translation is ergodic if and only if the components of the translation vector are rationally independent.
@Chris Please click on the checkmark if you are satisfied by the answer.
May
17
answered Does one of these conditions on a sequence imply the other one?
May
15
comment Is there a probability distribution with the following properties?
I don't know, but I would take a look at academia.edu/1686413/…
May
14
accepted Does one of these conditions on a sequence imply the other one?
May
14
comment Does one of these conditions on a sequence imply the other one?
Thank you, you greatly help me. In fact I'm mainly interested in $\Delta\cap\Theta$ so this perfectly answers to my question. And the result was the one I originally expected.
May
14
revised Does one of these conditions on a sequence imply the other one?
added 145 characters in body
May
14
asked Does one of these conditions on a sequence imply the other one?
Apr
25
comment Is there a way to solve for an unknown in a factorial?
a better approximation involving $W$ as well : mathoverflow.net/a/28977/21339
Mar
15
comment Notation $\mathrm{mod} $ in ergodic theory
$B=A \mod \mu$ $\iff$ $\mu(B \Delta A)=0$ $\iff$ ${\boldsymbol 1}_B={\boldsymbol 1}_A \quad \mu \text{ a.e.}$.
Mar
7
answered Kolmogorov distance between univariate gaussians
Feb
14
asked nice stationary process with discrete spectrum
Feb
13
answered Must any set of positive Lebesgue measure contain a bounded set of positive measure?
Feb
5
comment Computing confidence bounds on entropy given an empirical sample from a multinomial distribution?
The posterior distribution of $(p_1, \ldots, p_d)$ is a Dirichlet distribution. But I don't know what is the function $f$.
Feb
4
comment Computing confidence bounds on entropy given an empirical sample from a multinomial distribution?
Hello, using a Bayesian approach you can easily get a credibility interval for any function $f(p_1, \ldots, p_d)$. Using the Jeffreys posterior distribution, you can expect that the $95\%$-credibility interval provides a $\approx 95\%$-confidence interval.
Nov
12
answered Product of ergodic transformations
Nov
9
comment Disintegration-like theorem
@Ilya Actually you can drop the probabilistic objects (the random variables), the measure $\mu$ in Michael's answer plays the role of the law of $(A_1,A_2,B_2)$ (but I don't know why his answer looks so complicated). I prefer the probabilistic framework because of the interpretation of the integrals.
Nov
9
answered Disintegration-like theorem
Sep
27
comment counting combinations of {+1, -1} with constraints
Nice question but it should be better for math.stackexchange
Aug
21
revised Independence of Filtration
minor corrections