Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Röllin, Adrian"'
Autor:
Huang, Yuanfei, Röllin, Adrian
We investigate the SIR epidemic on a dynamic inhomogeneous Erd\H{o}s-R\'enyi random graph, in which vertices are of one of $k$ types and in which edges appear and disappear independently of each other. We establish a functional law of large numbers f
Externí odkaz:
http://arxiv.org/abs/2404.12566
In this paper we consider the two-type Moran model with $N$ individuals. Each individual is assigned a resampling rate, drawn independently from a probability distribution ${\mathbb P}$ on ${\mathbb R}_+$, and a type, either $1$ or $0$. Each individu
Externí odkaz:
http://arxiv.org/abs/2402.01333
Autor:
Can, Van Hao, Röllin, Adrian
Consider the mean-field spin models where the Gibbs measure of each configuration depends only on its magnetization. Based on the Stein and Laplace methods, we give a new and short proof for the scaling limit theorems with convergence rate for the ma
Externí odkaz:
http://arxiv.org/abs/2312.07313
Autor:
Tang, Wai Hoh, Sim, Shao Ren, Aik, Daniel Ying Kia, Nelanuthala, Ashwin Venkata Subba, Athilingam, Thamarailingam, Röllin, Adrian, Wohland, Thorsten
Publikováno v:
In Biophysical Journal 19 March 2024 123(6):655-666
Dense multigraphon-valued stochastic processes and edge-changing dynamics in the configuration model
Autor:
Röllin, Adrian, Zhang, Zhuo-Song
Time-evolving random graph models have appeared and have been studied in various fields of research over the past decades. However, the rigorous mathematical treatment of large graphs and their limits at the process-level is still in its infancy. In
Externí odkaz:
http://arxiv.org/abs/2104.13024
Autor:
Kaur, Gursharn, Röllin, Adrian
Our main results are quantitative bounds in the multivariate normal approximation of centred subgraph counts in random graphs generated by a general graphon and independent vertex labels. We are interested in these statistics because they are key to
Externí odkaz:
http://arxiv.org/abs/2006.15805
We establish a general Berry-Esseen type bound which gives optimal bounds in many situations under suitable moment assumptions. By combining the general bound with Palm theory, we deduce a new error bound for assessing the accuracy of normal approxim
Externí odkaz:
http://arxiv.org/abs/2004.05026
Autor:
Fang, Xiao, Gan, Han Liang, Holmes, Susan, Huang, Haiyan, Peköz, Erol, Röllin, Adrian, Tang, Wenpin
A classical result for the simple symmetric random walk with $2n$ steps is that the number of steps above the origin, the time of the last visit to the origin, and the time of the maximum height all have exactly the same distribution and converge whe
Externí odkaz:
http://arxiv.org/abs/2001.08857
We study occupancy counts for the critical nearest-neighbor branching random walk on the $d$-dimensional lattice, conditioned on non-extinction. For $d\geq 3$, Lalley and Zheng (2011) showed that the properly scaled joint distribution of the number o
Externí odkaz:
http://arxiv.org/abs/1909.01617
The goal of this paper is to develop a theory of graphon-valued stochastic processes, and to construct and analyse a natural class of such processes arising from population genetics. We consider finite populations where individuals change type accord
Externí odkaz:
http://arxiv.org/abs/1908.06241