Using Fourier analysis, we study local limit theorems in weak-convergence problems. Among many applications, we discuss random matrix theory, some probabilistic models in number theory, the winding number of complex Brownian motion and the classical situation of the central limit theorem, and a conjecture concerning the distribution of values of the Riemann zeta function on the critical line
We prove local limit theorems for mod-ϕ convergent sequences of random variables, ϕ being a stable d...
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
We prove local limit theorems for mod-ϕ convergent sequences of random variables, ϕ being a stable d...
Using Fourier analysis, we study local limit theorems in weak-convergence problems. Among many appli...
In this paper we complete our understanding of the role played by the limiting (or residue) function...
In this paper we complete our understanding of the role played by the limiting (or residue) function...
The canonical way to establish the central limit theorem for i.i.d. random variables is to use chara...
Abstract. In this note, we characterize the limiting functions in mod-Gausssian conver-gence; our ap...
In this note, we characterize the limiting functions in mod-Gausssian convergence; our approach shed...
Building on earlier work introducing the notion of “mod-Gaussian ” convergence of sequences of rando...
We introduce a new type of convergence in probability theory, which we call "mod-Gaussian convergenc...
63 pages, 5 figures. New version: reworked introduction, better presentation of the formal alphabets...
63 pages, 5 figures. New version: reworked introduction, better presentation of the formal alphabets...
A limit theorem in the sense of the weak convergence of probability measures on the complex plane fo...
Local weak convergence is a powerful framework for study of sparse graph limits and has been success...
We prove local limit theorems for mod-ϕ convergent sequences of random variables, ϕ being a stable d...
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
We prove local limit theorems for mod-ϕ convergent sequences of random variables, ϕ being a stable d...
Using Fourier analysis, we study local limit theorems in weak-convergence problems. Among many appli...
In this paper we complete our understanding of the role played by the limiting (or residue) function...
In this paper we complete our understanding of the role played by the limiting (or residue) function...
The canonical way to establish the central limit theorem for i.i.d. random variables is to use chara...
Abstract. In this note, we characterize the limiting functions in mod-Gausssian conver-gence; our ap...
In this note, we characterize the limiting functions in mod-Gausssian convergence; our approach shed...
Building on earlier work introducing the notion of “mod-Gaussian ” convergence of sequences of rando...
We introduce a new type of convergence in probability theory, which we call "mod-Gaussian convergenc...
63 pages, 5 figures. New version: reworked introduction, better presentation of the formal alphabets...
63 pages, 5 figures. New version: reworked introduction, better presentation of the formal alphabets...
A limit theorem in the sense of the weak convergence of probability measures on the complex plane fo...
Local weak convergence is a powerful framework for study of sparse graph limits and has been success...
We prove local limit theorems for mod-ϕ convergent sequences of random variables, ϕ being a stable d...
summary:In the paper discrete limit theorems in the sense of weak convergence of probability measure...
We prove local limit theorems for mod-ϕ convergent sequences of random variables, ϕ being a stable d...
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