Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Angst, Jürgen"'
We consider random trigonometric polynomials with general dependent coefficients. We show that under mild hypotheses on the structure of dependence, the asymptotics as the degree goes to infinity of the expected number of real zeros coincides with th
Externí odkaz:
http://arxiv.org/abs/2409.15057
In this article, we revisit the question of fluctuations of linear statistics of beta ensembles in the single cut and non-critical regime for general potentials $V$ under mild regularity and growth assumptions. Our main objective is to establish shar
Externí odkaz:
http://arxiv.org/abs/2403.17211
A total variation version of Breuer--Major Central Limit Theorem under $\mathbb{D}^{1,2}$ assumption
In this note, we establish a qualitative total variation version of Breuer--Major Central Limit Theorem for a sequence of the type $\frac{1}{\sqrt{n}} \sum_{1\leq k \leq n} f(X_k)$, where $(X_k)_{k\ge 1}$ is a centered stationary Gaussian process, un
Externí odkaz:
http://arxiv.org/abs/2309.06265
Let $(Z_k)_{k\geq 1}$ be a sequence of independent and identically distributed complex random variables with common distribution $\mu$ and let $P_n(X):=\prod_{k=1}^n (X-Z_k)$ the associated random polynomial in $\mathbb C[X]$. In [Kab15], the author
Externí odkaz:
http://arxiv.org/abs/2301.06973
Autor:
Angst, Jürgen, Poly, Guillaume
Let us consider i.i.d. random variables $\{a_k,b_k\}_{k \geq 1}$ defined on a common probability space $(\Omega, \mathcal F, \mathbb P)$, following a symmetric Rademacher distribution and the associated random trigonometric polynomials $S_n(\theta)=
Externí odkaz:
http://arxiv.org/abs/2111.12571
We further investigate the relations between the large degree asymptotics of the number of real zeros of random trigonometric polynomials with dependent coefficients and the underlying correlation function. We consider trigonometric polynomials of th
Externí odkaz:
http://arxiv.org/abs/2102.09653
Autor:
Angst, Jürgen, Poly, Guillaume
On a probability space $(\Omega, \mathcal F, \mathbb P)$ we consider two independent sequences $(a_k)_{k \geq 1}$ and $(b_k)_{k \geq 1}$ of i.i.d. random variables that are centered with unit variance and which admit a moment strictly higher than two
Externí odkaz:
http://arxiv.org/abs/1912.09928
Autor:
Angst, Jürgen, Poly, Guillaume
In this paper, we investigate the local universality of the number of zeros of a random periodic signal of the form $S_n(t)=\sum_{k=1}^n a_k f(k t)$, where $f$ is a $2\pi-$periodic function satisfying weak regularity conditions and where the coeffici
Externí odkaz:
http://arxiv.org/abs/1910.07469
Autor:
Angst, Jürgen, Tardif, Camille
In this paper, we determine the Poisson boundary of the relativistic Brownian motion in two classes of Lorentzian manifolds, namely model manifolds of constant scalar curvature and Robertson--Walker space-times, the latter constituting a large family
Externí odkaz:
http://arxiv.org/abs/1812.11250
Autor:
Angst, Jürgen, Poly, Guillaume
We study the absolute continuity with respect to the Lebesgue measure of the distribution of the nodal volume associated with a smooth, non-degenerated and stationary Gaussian field $(f(x), {x \in \mathbb R^d})$. Under mild conditions, we prove that
Externí odkaz:
http://arxiv.org/abs/1811.04795