Results 31 to 40 of about 167 (163)
Modular invariance, tauberian theorems and microcanonical entropy
Journal of High Energy Physics, 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
Baur Mukhametzhanov, Alexander Zhiboedav
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Some nonlinear Tauberian theorems [PDF]
Proceedings of the American Mathematical Society, 1967 In a forthcoming study of the n-body problem I have made use of the nonlinear Tauberian theorems obtained in this note. The symbol wc(x) represents a positive function, increasing for x >0. The symbols f, g, h represent functions which are of class C2 on (0, cm). The basic Theorem 1 is due to Boas [1]. THEOREM 1.
openaire +1 more source
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
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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
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Singular Perturbation of Nonlinear Systems with Regular Singularity
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 We extend Balser‐Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′ = F(ε, z, f) with F a Cν‐valued function, holomorphic in a polydisc D-ρ×D-ρ×D-ρν.
Domingos H. U. Marchetti +2 more
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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
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Duals and Matrix Classes Involving Cesàro Type Classes of Sequences of Fuzzy Numbers
Advances in Fuzzy Systems, Volume 2018, Issue 1, 2018., 2018 We first define Cesàro type classes of sequences of fuzzy numbers and equip the set with a complete metric. Then we compute the Köthe‐Toeplitz dual and characterize some related matrix classes involving such classes of sequences of fuzzy numbers.
Hemen Dutta +2 more
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Wiener Tauberian theorems for vector-valued functions
International Journal of Mathematics and Mathematical Sciences, 1994 Different versions of Wiener's Tauberian theorem are discussed for the generalized group algebra L1(G,A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A-valued ...
K. Parthasarathy, Sujatha Varma
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On the Exit Time of a Random Walk with Positive Drift [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We study a random walk with positive drift in the first quadrant of the plane. For a given connected region $\mathcal{C}$ of the first quadrant, we analyze the number of paths contained in $\mathcal{C}$ and the first exit time from $\mathcal{C}$.
Michael Drmota, Wojciech Szpankowski
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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
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