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visits member for 2 years, 5 months
seen Jul 14 at 15:38

Jul
2
awarded  Curious
Nov
19
asked Sufficient conditions for sums of Laguerre polynomials to be non-negative
Jun
25
awarded  Tumbleweed
Feb
24
asked binomial transform, Hurwitz zeta function
Feb
12
comment Eigenvectors of contraction times projection
Yes, a typo, thank you.
Feb
12
awarded  Editor
Feb
12
revised Eigenvectors of contraction times projection
edited body; added 3 characters in body
Feb
12
asked Eigenvectors of contraction times projection
Dec
28
accepted Estimate entropy of a binary process in terms of decay of correlations
Dec
26
awarded  Supporter
Dec
26
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.
Dec
25
asked Estimate entropy of a binary process in terms of decay of correlations
Dec
3
answered Minimum 1st-neghbors distance between N random points on a ring
Aug
22
comment Approximating Moment of Sum of RVs
@Mark Meckes: 1968 edition, chapter 4. dependent variables, section 20: mixing processes, paragraph on moment inequalities.
Aug
22
comment Approximating Moment of Sum of RVs
@Bill Johnson: absolutely, severe overkill. result must follow also from some easier inequalities as well.
Aug
22
answered Approximating Moment of Sum of RVs
Aug
22
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.
Jun
14
awarded  Teacher
Apr
23
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.
Apr
22
answered functions whose average along orbits is zero or a constant