Results 21 to 30 of about 235,890 (287)

Gibbs Distribution and the Repairman Problem

open access: yesMathematics, 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
doaj   +1 more source

A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function

open access: yesNonlinear 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
doaj   +1 more source

On the Discrete Approximation by the Mellin Transform of the Riemann Zeta-Function

open access: yesMathematics, 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   +2 more
doaj   +1 more source

Value-distribution of twisted L-functions of normalized cusp forms

open access: yesLietuvos 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
doaj   +1 more source

Optimal Weak Order and Approximation of the Invariant Measure with a Fully-Discrete Euler Scheme for Semilinear Stochastic Parabolic Equations with Additive Noise

open access: yesMathematics, 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
doaj   +1 more source

Learning GANs in Simultaneous Game Using Sinkhorn With Positive Features

open access: yesIEEE 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   +5 more
doaj   +1 more source

On Joint Universality in the Selberg–Steuding Class

open access: yesMathematics, 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   +2 more
doaj   +1 more source

Approximate stabilization of an infinite dimensional quantum stochastic system [PDF]

open access: yes, 2013
International audienceWe study the state feedback stabilization of a quantum harmonic oscillator near a pre-specified Fock state (photon number state). Such a state feedback controller has been recently implemented on a quantized electromagnetic field in
Mirrahimi, Mazyar   +2 more
core   +3 more sources

A Discrete Limit Theorem for L-Functions of Elliptic Curves

open access: yesJaunųjų Mokslininkų Darbai, 2018
In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, |t|  0 be a fixed real number such that exp {2πk/h} is an irrational number for all k∈Z\{
Virginija Garbaliauskienė   +1 more
doaj   +1 more source

Joint Discrete Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function Twisted by Gram Points

open access: yesMathematics, 2023
Let θ(t) denote the increment of the argument of the product π−s/2Γ(s/2) along the segment connecting the points s=1/2 and s=1/2+it, and tn denote the solution of the equation θ(t)=(n−1)π, n=0,1,…. The numbers tn are called the Gram points. In this paper,
Antanas Laurinčikas
doaj   +1 more source

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