Results 31 to 40 of about 1,178 (110)

A finitization of Littlewood's Tauberian theorem and an application in Tauberian remainder theory

Annals of Pure and Applied Logic, 2023
Abel and Tauber's theorems relate the convergence of the coefficients of a power series and the convergence of the power series, as a function, towards its radius of convergence. In [Math. Log. Q. 66, No. 3, 300--310 (2020; Zbl 1521.03217)], the author proposed to extend the proof mining program (see, e.g. [\textit{U. Kohlenbach}, Applied proof theory.
openaire   +1 more source

Markovian persuasion

Theoretical Economics, Volume 21, Issue 1, Page 71-98, January 2026.
In the classical Bayesian persuasion model, an informed player and an uninformed one engage in a static interaction. This work extends this classical model to a dynamic setting where the state of nature evolves according to a Markovian law, allowing for a more realistic representation of real‐world situations where the state of nature evolves over time.
Ehud Lehrer, Dimitry Shaiderman
wiley   +1 more source

Convergence Rates and Limit Theorems for the Dual Markov Branching Process

Journal of Probability and Statistics, Volume 2017, Issue 1, 2017., 2017
This paper studies aspects of the Siegmund dual of the Markov branching process. The principal results are optimal convergence rates of its transition function and limit theorems in the case that it is not positive recurrent. Additional discussion is given about specifications of the Markov branching process and its dual. The dualising Markov branching
Anthony G. Pakes, Ramón M. Rodríguez-Dagnino   +1 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., Scheinhardt, W. R. W., Volkovich, Y.   +2 more
core   +2 more sources

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, Sergey Utev, Onesimo Hernandez-Lerma   +2 more
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, Zhiboedov, Alexander   +1 more
core   +1 more source

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, Shweta Dhawan, Feyzi Başar   +2 more
wiley   +1 more source

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