Tree Descent Polynomials: Unimodality and Central Limit Theorem

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Central Limit Theorem on Chebyshev Polynomials

Let Tl be a transformation on the interval [−1, 1] defined by Chebyshev polynomial of degree l (l ≥ 2), i.e., Tl(cos θ) = cos(lθ). In this paper, we consider Tl as a measure preserving transformation on [−1, 1] with an invariant measure 1 π √ 1−x2 dx. We show that If f(x) is a nonconstant step function with finite kdiscontinuity points with k < l − 1, then it satisfies the Central Limit Theorem...

متن کامل

Actions on permutations and unimodality of descent polynomials

We study a group action on permutations due to Foata and Strehl and use it to prove that the descent generating polynomial of certain sets of permutations has a nonnegative expansion in the basis {t(1 + t)} i=0 , m = ⌊(n−1)/2⌋. This property implies symmetry and unimodality. We prove that the action is invariant under stack-sorting which strengthens recent unimodality results of Bóna. We prove ...

متن کامل

Central Limit Theorem in Multitype Branching Random Walk

A discrete time multitype (p-type) branching random walk on the real line R&nbsp;is considered. The positions of the j-type individuals in the n-th generation form a point process. The asymptotic behavior of these point processes, when the generation size tends to infinity, is studied. The central limit theorem is proved.

متن کامل

Central Limit Theorem Forthe

The Edwards model in one dimension is a transformed path measure for standard Brownian motion discouraging self-intersections. We prove a central limit theorem for the endpoint of the path, extending a law of large numbers proved by Westwater (1984). The scaled variance is characterized in terms of the largest eigenvalue of a one-parameter family of diierential operators, introduced and analyze...

متن کامل

Central Limit Theorem and Almost Sure Central Limit Theorem for the Product of Some Partial Sums

Let (Xn)n≥1 be a sequence of independent identically distributed (i.i.d.) positive random variables (r.v.). Recently there have been several studies to the products of partial sums. It is well known that the products of i.i.d. positive, square integrable random variables are asymptotically log-normal. This fact is an immediate consequence of the classical central limit theorem (CLT). This point...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annals of Combinatorics

سال: 2020

ISSN: 0218-0006,0219-3094

DOI: 10.1007/s00026-019-00484-1