Buongiorno, giro l'annuncio del OWPS per chi fosse interessato. Saluti Alessandra ---------- Forwarded message --------- Da: One World Probability ow.probability@gmail.com Date: mer 28 apr 2021 alle ore 14:04 Subject: [owps] talks tomorrow april 29 To: owps@lists.bath.ac.uk
Dear All, we have two talks tomorrow. Remember that we start 14:00 UTC which is 16:00 CET!
14:00-15:00 UTC Bastien Mallein Tail behaviour of the derivative martingale in a branching random walk
A branching random walk is a discrete-time particle system on the real line in which every particle gives independently birth to offspring positioned around the position of their parent. The derivative martingale of the branching random walk is a stochastic process which allows to measure the number of particles traveling at maximal speed in this process. Under some general integrability conditions uncovered by Aïdékon (2013) and Chen (2015), we know the derivative martingale converges a.s. to a non-negative limit.
Recently, Maillard and Pain (2019) obtained a necessary and sufficient condition on the reproduction law of the branching Brownian motion under which the convergence of the derivative martingale satisfies a specific central limit theorem. In this talk, based on a joint work with Alexander Iksanov and Dariusz Buraczewski, we extend their result to branching random walk settings. The proof is based on the characterization of subharmonic functions of the killed random walk with at most linear growth.
15:00 - 16:00 UTC Hui He Deviation probabilities for the maximum of a branching random walk. Consider a supercritical branching random walk on real line started from the origin. Under some mild conditions, it is proved by Aïdékon (2013) that its centered maximum converges in law. In this talk, we will review some recent results on the large/lower deviation probabilities of the maximum. The talk is based on joint works with Xinxin Chen and Bastien Mallein.
The Zoom link is on the OWPS webpage. It can also be accessed directly via
https://tum-conf.zoom.us/j/66226509320 https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Ftum-conf.zoom.us%2Fj%2F66226509320&data=04%7C01%7Cowps%40lists.bath.ac.uk%7C49dada110f464d84c60408d90a3da1dc%7C377e3d224ea1422db0ad8fcc89406b9e%7C0%7C0%7C637552082088962218%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000&sdata=bpxX28Aj5bkusSGxeaZmMczBjKyafTvdpQqj2ZFO%2Fo0%3D&reserved=0
Meeting-ID: 662 2650 9320 Kenncode: 710554
We hope to see you tomorrow! Best wishes, Julien and Nina ID: 662 2650 932