Random May 2022

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PhD course Long time asymptotic and criticality in random dynamics (Mariani-DiGesù)
by Dario Trevisan 02 May '22

02 May '22

Dear all, during May, prof. Mauro Mariani will be INdAM Visiting Professor at the University of Pisa, and will deliver a the first half of a PhD Course on Long time asymptotic and criticality in random dynamics (abstract below). The second half will be later given by Giacomo di Gesù (Sapienza Università di Roma). The format will be blended, in presence and online using Microsoft Teams. The first lecture is scheduled on Thursday, May 5th, at 11 am, at Aula Seminari of the Department of Mathematics (Largo Bruno Pontecorvo, 5, first floor) and online at the link https://teams.microsoft.com/l/meetup-join/19%3aNPe79QEwg0BQ31oFUsis6tD5qgF2… Dates and times later lectures are possibly subject to changes, but are now tentatively scheduled every Thursday and Friday, 11 am, same room (Aula Seminari), starting from Thursday 12th. No lecture will be delivered on Friday 6th. Please feel free to forward this message to anyone who might be interested, and write me if you want to be added to the Team (to access records of the lectures and further material). Regards, Dario Trevisan %%% Abstract: The qualitative behavior of random evolutions in the long time asymptotic is a classical subject, which has recently found new motivations in high dimensional optimization. The course provides an introduction to classical and recent results concerning the long time behavior of some classes of Markov processes. In the first part, we will introduce some tools typical of potential theory in an elementary context, with focus on the reversibility non-reversibility paradigm. In the second part of the class, we will focus on establishing some recent results for more involved models and infinite-dimensional dynamics. 1. Ergodicity and long time behavior of Markov processes. 2. Potential theory and spectral analysis for processes on graphs. 3. Applications to statistical mechanics models. -- Dario Trevisan, Università degli Studi di Pisa, Dipartimento di Matematica, Largo Bruno Pontecorvo 5, 56127 - Pisa (PI) Italy telephone: (+39) 050 2213832 mobile: (+39) 331 2899761 Skype: dario-trevisan e-mail: dario.trevisan AT unipi.it webpage: http://people.dm.unipi.it/trevisan/

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Procedura selettiva 2022RUA03 - RTDa 13D1
by Alessandra Fabbri Colabich 02 May '22

02 May '22

Buongiorno, è stato pubblicato il Bando relativo all'indizione di una procedura selettiva per posti da Ricercatore a tempo determinato RTD-A, di cui uno nel settore concorsuale 13D1 presso il Dipartimento di Scienze Statistiche dell’Università degli Studi di Padova. Il bando è disponibile all’indirizzo: https://www.stat.unipd.it/procedura-selettiva-2022rua03 La *scadenza* per la presentazione delle domande è il *30 maggio 2022 alle ore 13*. Si prega di dare la massima diffusione presso tutti gli interessati. Grazie per la collaborazione Alessandra Fabbri Colabich -- Dott.ssa Alessandra Fabbri Colabich Università degli Studi di Padova Dipartimento di Scienze Statistiche [image: Ottocento anni di libertà e futuro]

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Seminar in Pisa: Jules Pitcho
by Francesco Grotto 02 May '22

02 May '22

Dear Colleagues, we would like to invite you to the following seminar by Jules Pitcho (UZH) to be held this Wednesday (May 4th) at Dipartimento di Matematica in Pisa and online via Google Meets. The organizers, A. Agazzi and F. Grotto -------------------------------------------- Location: Sala Seminari, Dipartimento di Matematica, Pisa Google Meet Link: https://meet.google.com/gji-phwo-vbg Time: May 4th, 2022, 14:00-15:00 CET Speaker: Jules Pitcho (UZH - Universität Zürich) Title: Since the work of Di Perna-Lions and Ambrosio, it is known that the continuity equation with divergence-free Sobolev vector field is well-posed for densities with suitable integrability. At the Lagrangian level, these works translate into a selection principle for integral curves under which uniqueness for almost every initial data is true. Nevertheless, uniqueness of integral curves can fail almost everywhere. The deterministic technique used to construct such divergence-free Sobolev vector fields and non-unique integral curves go by the name of convex integration: we will explain some of the ideas underlying this technique. We will conclude by arguing that for rougher vector fields, a genuinely stochastic behaviour of integral curves is to be expected: we should not hope for an almost everywhere selection principle for integral curves.

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