Zobrazeno 1 - 10
of 3 117
pro vyhledávání: '"Schapira, P."'
Autor:
Mailler, Cécile, Schapira, Bruno
We show the existence of a phase transition between a localisation and a non-localisation regime for a branching random walk with a catalyst at the origin. More precisely, we consider a continuous-time branching random walk that jumps at rate one, wi
Externí odkaz:
http://arxiv.org/abs/2412.11842
Autor:
Asselah, Amine, Schapira, Bruno
We study intersection properties of two or more independent tree-like random graphs. Our setting encompasses critical, possibly long range, Bernoulli percolation clusters, incipient infinite clusters, as well as critical branching random walk ranges.
Externí odkaz:
http://arxiv.org/abs/2411.19145
In this paper we study the recurrence and transience of the $\mathbb{Z}^d$-valued branching random walk in random environment indexed by a critical Bienaym\'e-Galton-Watson tree, conditioned to survive. The environment is made either of random conduc
Externí odkaz:
http://arxiv.org/abs/2406.17622
Network measurement involves an inherent tradeoff between accuracy and overhead; higher accuracy typically comes at the expense of greater measurement overhead (measurement frequency, number of probe packets, etc.). Capturing the "right" balance betw
Externí odkaz:
http://arxiv.org/abs/2406.09093
Deep neural networks (DNNs) play a crucial role in the field of machine learning, demonstrating state-of-the-art performance across various application domains. However, despite their success, DNN-based models may occasionally exhibit challenges with
Externí odkaz:
http://arxiv.org/abs/2406.02024
Autor:
Archer, Eleanor, Hartarsky, Ivailo, Kolesnik, Brett, Olesker-Taylor, Sam, Schapira, Bruno, Valesin, Daniel
In Catalan percolation, all nearest-neighbor edges $\{i,i+1\}$ along $\mathbb Z$ are initially occupied, and all other edges are open independently with probability $p$. Open edges $\{i,j\}$ are occupied if some pair of edges $\{i,k\}$ and $\{k,j\}$,
Externí odkaz:
http://arxiv.org/abs/2404.19583
Autor:
Schapira, Pierre
This paper, to appear in the ``Notices of the AMS'' 2024, is a modified version of a text already appeared in this journal, Feb. 2007 after a first publication in French, in ``La Gazette des Math{\'e}maticiens'' 97 (2003) on the occasion of Sato's re
Externí odkaz:
http://arxiv.org/abs/2402.15553
We study a distinguished random walk on affine buildings of type Ar , which was already considered by Cartwright, Saloff-Coste and Woess. In rank r=2, it is the simple random walk and we obtain optimal global bounds for its transition density (same u
Externí odkaz:
http://arxiv.org/abs/2312.01781
Autor:
Pietro La Vitola, Eva M. Szegö, Rita Pinto-Costa, Angela Rollar, Eugenia Harbachova, Anthony HV Schapira, Ayse Ulusoy, Donato A. Di Monte
Publikováno v:
npj Parkinson's Disease, Vol 10, Iss 1, Pp 1-13 (2024)
Abstract In this study, heterozygous expression of a common Parkinson-associated GBA1 variant, the L444P mutation, was found to exacerbate α-synuclein aggregation and spreading in a mouse model of Parkinson-like pathology targeting neurons of the me
Externí odkaz:
https://doaj.org/article/ea5fcc1b149f4970ae3503473438f7f4
Autor:
Schapira, Bruno, Valesin, Daniel
We study the contact process on a dynamic random~$d$-regular graph with an edge-switching mechanism, as well as an interacting particle system that arises from the local description of this process, called the herds process. Both these processes were
Externí odkaz:
http://arxiv.org/abs/2309.17040