Zobrazeno 1 - 10
of 7 471
pro vyhledávání: '"60f05"'
Autor:
Clancy Jr, David
We provide a simple proof for of the central limit theorem for the number of vertices in the giant for super-critical stochastic block model using the breadth-first walk of Konarovskyi, Limic and the author (2024). Our approach follows the recent wor
Externí odkaz:
http://arxiv.org/abs/2501.01351
Autor:
Tóth, Bálint
Publikováno v:
published in Revue Roumaine de Math\'ematiques Pures et Appliqu\'ees, vol. 69, pp 585-601 (2024)
In [Kozma-Toth, Ann. Probab. v 45, pp 4307-4347 (2017)] the weak CLT was established for random walks in doubly stochastic (or, divergence-free) random environments, under the following conditions: 1. Strict ellipticity assumed for the symmetric part
Externí odkaz:
http://arxiv.org/abs/2501.00897
We consider the normalized adjacency matrix of a random $d$-regular graph on $N$ vertices with any fixed degree $d\geq 3$ and denote its eigenvalues as $\lambda_1=d/\sqrt{d-1}\geq \lambda_2\geq\lambda_3\cdots\geq \lambda_N$. We establish the followin
Externí odkaz:
http://arxiv.org/abs/2412.20263
In topological data analysis, the notions of persistent homology, birthtime, lifetime, and deathtime are used to assign and capture relevant cycles (i.e., topological features) of a point cloud, such as loops and cavities. In particular, cycles with
Externí odkaz:
http://arxiv.org/abs/2412.17482
Autor:
Es-Sebaiy, Khalifa
In this paper we provide a new explicit bound on the total variation distance between a standardized partial sum of random variables belonging to a finite sum of Wiener chaoses and a standard normal random variable. We apply our result to derive an u
Externí odkaz:
http://arxiv.org/abs/2412.16991
We consider a microstructure foundation for rough volatility models driven by Poisson random measures. In our model the volatility is driven by self-exciting arrivals of market orders as well as self-exciting arrivals of limit orders and cancellation
Externí odkaz:
http://arxiv.org/abs/2412.16436
Publikováno v:
Advances in Applied Probability, Vol. 54, Issue 1, March 2022, 111-140
Let $(Z_n)_{n\geq 0}$ be a critical branching process in a random environment defined by a Markov chain $(X_n)_{n\geq 0}$ with values in a finite state space $\mathbb X$. Let $ S_n = \sum_{k=1}^n \ln f_{X_k}'(1)$ be the Markov walk associated to $(X_
Externí odkaz:
http://arxiv.org/abs/2412.15585
In this paper, we present a queueing model for quantum communication networks, a rapidly growing field of research inspired by its technological promise and recent experimental successes. The model consists of a primary queue and a service queue wher
Externí odkaz:
http://arxiv.org/abs/2412.16157
Let $\mathbb{B}_p^N$ be the $N$-dimensional unit ball corresponding to the $\ell_p$-norm. For each $N\in\mathbb N$ we sample a uniform random subspace $E_N$ of fixed dimension $m\in\mathbb{N}$ and consider the volume of $\mathbb{B}_p^N$ projected ont
Externí odkaz:
http://arxiv.org/abs/2412.16054
We study small-time central limit theorems for stochastic Volterra integral equations with H\"older continuous coefficients and general locally square integrable Volterra kernels. We prove the convergence of the finite-dimensional distributions, a fu
Externí odkaz:
http://arxiv.org/abs/2412.15971