Results 11 to 20 of about 16,537 (248)

Gibbs Distribution and the Repairman Problem

Mathematics, 2023
In this paper, we obtain weak convergence results for a family of Gibbs measures depending on the parameter θ>0 in the following form dPθ(x)=Zθexp−Hθ(x)/θdQ(x), where we show that the limit distribution is concentrated in the set of the global minima of ...
Hassan Chetouani, Nikolaos Limnios
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A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function

Nonlinear Analysis, 2008
In the paper, a two-dimentional discrete limit theorem in the sense of weak convergence of probability measures in the space of analytic functions for Mellin transforms of the Riemann zeta-function on the critical line is obtained.
V. Balinskaitė, V. Laurinčikas
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Value-distribution of twisted L-functions of normalized cusp forms

Lietuvos Matematikos Rinkinys, 2010
A limit theorem in the sense of weak convergence of probability measures on the complex plane for twisted with Dirichlet character L-functions of holomorphic normalized Hecke eigen cusp forms with an increasing modulus of the character is proved.
Alesia Kolupayeva
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On the Discrete Approximation by the Mellin Transform of the Riemann Zeta-Function

Mathematics, 2023
In the paper, it is obtained that there are infinite discrete shifts Ξ(s+ikh), h>0, k∈N0 of the Mellin transform Ξ(s) of the square of the Riemann zeta-function, approximating a certain class of analytic functions. For the proof, a probabilistic approach
Virginija Garbaliauskienė, Antanas Laurinčikas, Darius Šiaučiūnas   +2 more
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Optimal Weak Order and Approximation of the Invariant Measure with a Fully-Discrete Euler Scheme for Semilinear Stochastic Parabolic Equations with Additive Noise

Mathematics, 2023
In this paper, we consider the ergodic semilinear stochastic partial differential equation driven by additive noise and the long-time behavior of its full discretization realized by a spectral Galerkin method in spatial direction and an Euler scheme in ...
Qiu Lin, Ruisheng Qi
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Learning GANs in Simultaneous Game Using Sinkhorn With Positive Features

IEEE Access, 2021
Entropy regularized optimal transport (EOT) distance and its symmetric normalization, known as the Sinkhorn divergence, offer smooth and continuous metrized weak-convergence distance metrics.
Risman Adnan, Muchlisin Adi Saputra, Junaidillah Fadlil, Martianus Frederic Ezerman, Muhamad Iqbal, Tjan Basaruddin   +5 more
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Generalized Limit Theorem for Mellin Transform of the Riemann Zeta-Function

Axioms
In the paper, we prove a limit theorem in the sense of the weak convergence of probability measures for the modified Mellin transform Z(s), s=σ+it, with fixed 1 ...
Antanas Laurinčikas, Darius Šiaučiūnas   +1 more
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On Joint Universality in the Selberg–Steuding Class

Mathematics, 2023
The famous Selberg class is defined axiomatically and consists of Dirichlet series satisfying four axioms (Ramanujan hypothesis, analytic continuation, functional equation, multiplicativity).
Roma Kačinskaitė, Antanas Laurinčikas, Brigita Žemaitienė   +2 more
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Submartingale condition for weak convergence for semi-Markov processes

Modern Stochastics: Theory and Applications
In this paper, we consider a modified version of a well-known submartingale condition for the weak convergence of probability measures, adapted to the semi-Markov case.
Vitaliy Golomoziy
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Weak Convergence of Probability Measures

, 2020
Lecture notes based on the book Convergence of Probability Measures by Patrick Billingsley.
openaire   +2 more sources