# user21541

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# 26 Actions

 Jul2 awarded Curious Nov19 asked Sufficient conditions for sums of Laguerre polynomials to be non-negative Jun25 awarded Tumbleweed Feb24 asked binomial transform, Hurwitz zeta function Feb12 comment Eigenvectors of contraction times projection Yes, a typo, thank you. Feb12 awarded Editor Feb12 revised Eigenvectors of contraction times projection edited body; added 3 characters in body Feb12 asked Eigenvectors of contraction times projection Dec28 accepted Estimate entropy of a binary process in terms of decay of correlations Dec26 awarded Supporter Dec26 comment Estimate entropy of a binary process in terms of decay of correlations Thanks, the process I want to understand has many other useful properties I can use, I was looking for minimal conditions. Dec25 asked Estimate entropy of a binary process in terms of decay of correlations Dec3 answered Minimum 1st-neghbors distance between N random points on a ring Aug22 comment Approximating Moment of Sum of RVs @Mark Meckes: 1968 edition, chapter 4. dependent variables, section 20: mixing processes, paragraph on moment inequalities. Aug22 comment Approximating Moment of Sum of RVs @Bill Johnson: absolutely, severe overkill. result must follow also from some easier inequalities as well. Aug22 answered Approximating Moment of Sum of RVs Aug22 comment Approximating Moment of Sum of RVs Look at Lemma 4, page 172, in Billingsley's book Convergence of probability measures. Lemma is for p=4, but it works for all even p. If I am not mistaken, this lemma gives the bound you are looking for. Jun14 awarded Teacher Apr23 comment functions whose average along orbits is zero or a constant the most famous example of a result of this nature is the so-called Livshic lemma: suppose $X$ is a mixing subshift, $T:X\to X$ is a left shift, and $f$ is a Holder-continuous function such that $$\sum_{i=0}^{p-1} f(T^ix) =0$$ for every periodic $x$: $x=T^px$. Then $f=g-g\circ T$. There are many generalizations of this result. Apr22 answered functions whose average along orbits is zero or a constant