Results 31 to 40 of about 1,176 (101)
Numerical Computation of the Rosenblatt Distribution and Applications
Stat, Volume 14, Issue 4, December 2025.ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
wiley +1 more source
Optimal Bounds for the Variance of Self‐Intersection Local Times
International Journal of Stochastic Analysis, Volume 2016, Issue 1, 2016., 2016 For a Zd‐valued random walk (Sn) n∈N0, let l(n, x) be its local time at the site x∈Zd. For α∈N, define the α‐fold self‐intersection local time as Ln(α)≔∑xl(n, x) α. Also let LnSRW(α) be the corresponding quantities for the simple random walk in Zd. Without imposing any moment conditions, we show that the variance of the self‐intersection local time of ...
George Deligiannidis +2 more
wiley +1 more source
In-Degree and PageRank of Web pages: Why do they follow similar power laws? [PDF]
, 2006 The PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that the PageRank obeys a `power law' with the same exponent as the In-Degree.
Litvak, N. +2 more
core +2 more sources
Quantized Kronecker flows and almost periodic quantum field theory
, 1996 We define and study the properties of the infinite dimensional quantized Kronecker flow. This $\bC^*$-dynamical system arises as a quantization of the corresponding flow on an infinite dimensional torus.
Klimek, Slawomir, Lesniewski, Andrzej
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Euclidean algorithms are Gaussian over imaginary quadratic fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley +1 more source
Density by Moduli and Lacunary Statistical Convergence
Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016 We have introduced and studied a new concept of f‐lacunary statistical convergence, where f is an unbounded modulus. It is shown that, under certain conditions on a modulus f, the concepts of lacunary strong convergence with respect to a modulus f and f‐lacunary statistical convergence are equivalent on bounded sequences.
Vinod K. Bhardwaj +2 more
wiley +1 more source
Distinct parts partitions without sequences
, 2015 Partitions without sequences of consecutive integers as parts have been studied recently by many authors, including Andrews, Holroyd, Liggett, and Romik, among others.
Bringmann, Kathrin +2 more
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Simple Barban–Davenport–Halberstam type asymptotics for general sequences
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
wiley +1 more source
Modular Invariance, Tauberian Theorems, and Microcanonical Entropy
, 2019 We analyze modular invariance drawing inspiration from tauberian theorems. Given a modular invariant partition function with a positive spectral density, we derive lower and upper bounds on the number of operators within a given energy interval. They are
Mukhametzhanov, Baur +1 more
core +1 more source
On Ikehara type Tauberian theorems with $O(x^��)$ remainders [PDF]
, 2016 Motivated by analytic number theory, we explore remainder versions of Ikehara's Tauberian theorem yielding power law remainder terms. More precisely, for $f:[1,\infty)\rightarrow{\mathbb R}$ non-negative and non-decreasing we prove $f(x)-x=O(x^ )$ with $ <1$ under certain assumptions on $f$.
openaire +1 more source