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seminario Federico Capannoli (16 Ottobre, Sapienza)
by Matteo Quattropani 13 Oct '23

13 Oct '23

Salve a tutti, Segnalo il seguente seminario, che avrà luogo Lunedì 16 Ottobre alle ore 17:00 in Sala di Consiglio (Dipartimento di Matematica, Università La Sapienza): Speaker: Federico Capannoli (Leiden University) Title: Meeting, Coalescence and Consensus on random directed graphs. Abstract: We consider Markovian dynamics on a typical realization of the so-called Directed Configuration Model (DCM), which is a random directed graph with prescribed in- and out-degrees. In this random geometry, we study the meeting time of two random walks starting at stationarity, the coalescence time for a system of coalescent random walks, and the consensus time of the voter model. Indeed, it is known that the latter three quantities are related to each other when the underlying sequence of graphs satisfies certain mean field conditions. We provide a complete characterization of the distribution of meeting, coalescence and consensus time on a typical random graph as a function of a single quantity θ. More precisely we show that, for a typical large graph from the DCM ensemble, the distribution of the meeting time is well-approximated by an exponential random variable. Furthermore, we provide the precise first-order approximation of its expectation, showing that the latter is linear in the size of the graph, and the explicit preconstant θ depends on some easy statistics of the degree sequence. As a consequence, we can analyze the effect of the degree sequence on the expected meeting time and, via some explicit examples, how its regularity/variability play crucial roles in the information diffusion. This is based on a joint work with Luca Avena (University of Florence), Rajat Subhra Hazra (Leiden University) and Matteo Quattropani (Sapienza, University of Rome). Saluti, Matteo Quattropani

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Post-doc position in mathematical statistics in Tartu (Estonia)
by Daniela Bertacchi 12 Oct '23

12 Oct '23

Ricevo e inoltro: ******************************************* *Post-doc position in mathematical statistics in Tartu (Estonia)* https://jobrxiv.org/job/university-of-tartu-27778-postdoc-position-in-mathe… *Announcement* The Institute of Mathematics and Statistics at the University of Tartu is seeking to fill the post of a Postdoctoral Research Fellow in mathematical statistics. The fixed-term position is scheduled for a duration of 1 year, the regular full employment time is 40 hours per week. The institute is located at the University of Tartu Delta Centre, https://delta.ut.ee/en <https://delta.ut.ee/en%E2%80%9D> The successful candidate will join the research project “Statistical modelling with hidden Markov models and model validation” under supervision of Prof Jüri Lember and Ass Prof Kristi Kuljus. Project description: Manyfold Markov models are generalizations of hidden Markov models (HMM). A manyfold Markov model is a multi-dimensional Markov chain, where typically some of the marginal processes are considered as latent variables. Mostly two- or three- dimensional models – called pairwise or triplet Markov models (PMM or TMM) – are studied. Such a general approach yields a large and flexible class of dynamical models, thus, for instance, HMM is just a very narrow subclass of TMMs. The purpose of the project is to study different inference problems related to these Markov models, an important research direction is segmentation or decoding. The research combines theory with practice, involving working out the corresponding probability-theoretical framework as well as necessary dynamic programming algorithms, studying their properties and implementing the methods to real data. Both frequentist and Bayesian settings will be considered. Requirements: Candidates should hold a PhD degree in mathematical statistics or mathematics. Good command of written and spoken English is expected. Candidates are invited to submit their application (CV, list of publications, a scanned copy of the PhD diploma, brief motivation letter, and contacts for at least two references). Application deadline is November 15, 2023; expected start date is January 1, 2024.

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Pisa-Leipzig statistical learning seminar: Ernesto De Vito
by Andrea Agazzi 12 Oct '23

12 Oct '23

Dear Colleagues, We would like to invite you to the following statistical learning seminar, jointly organized by UniPi, AI institute Uni Leipzig, and MPI for Mathematics in the Sciences (abstract below): * Understanding Neural Networks with Reproducing Kernel Banach Spaces* by *Ernesto De Vito* (Università di Genova) The seminar will take place on *MON, 16.10.2023* at *15:00 CET *in Aula Riunioni, Dipartimento di Matematica, Università di Pisa and streamed online here <https://uni-leipzig.zoom.us/j/68738656421?pwd=Zll6MkdBVXAvYmZaUmV1QnJ5RWxXd…> (see seminar website for further info). The organizers, A. Agazzi, N. Cyrille, A. Kreiss, S. Mukherjee, and K. Papagiannouli. https://sites.google.com/unipi.it/sslapdys -------------------------------------------- * Title: Understanding Neural Networks with Reproducing Kernel Banach Spaces* Abstract: *Characterizing the function spaces corresponding to neural networks can provide a way to understand their properties. The talk is devoted to show how the theory of reproducing kernel Banach spaces can be used to characterize the function spaces corresponding to neural networks. In particular, I will show a representer theorem for a class of reproducing kernel Banach spaces, which includes one hidden layer neural networks of possibly infinite width. Furthermore, I will prove that, for a suitable class of ReLU activation functions, the norm in the corresponding reproducing kernel Banach space can be characterized in terms of the inverse Radon transform of a bounded real measure. * *The talk is based on joint work with F. Bartolucci, L. Rosasco and S. Vigogna.*

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Seminario Padova - Quattropani
by alekos.cecchin＠unipd.it 12 Oct '23

12 Oct '23

Buongiorno a tutti, Vorremmo segnalarvi che questo venerdì (13 ottobre) alle ore 14:30 in aula 2BC30 del Dipartimento di Matematica dell’Università di Padova (Torre Archimede) ci sarà un seminario per il ciclo di seminari in Probabilità e Finanza di: Matteo Quattropani (Università la Sapienza di Roma) Title: Mixing of the Averaging process on graphs Date: October 13, 2023 at 14:30, room 2BC30, Torre Archimede, Padova; in presenza Abstract: The Averaging process (a.k.a. repeated averages) is a mass redistribution model over the vertex set of a graph. Given a graph G, the process starts with a non-negative mass associated to each vertex. The edges of G are equipped with Poissonian clocks: when an edge rings, the masses at the two extremes of the edge are equally redistributed on these two vertices. Clearly, as time grows to infinity, the state of the system will converge (in some sense) to a flat configuration in which all the vertices have the same mass. This very simple process has been introduced to the probabilistic community by Aldous and Lanoue in 2012. However, up to few years ago, there was no graph for which sharp quantitative results on the time needed to reach equilibrium were available. Indeed, the analysis of this process requires different tools compared to the classical Markov chain framework, and even in the case of seemingly straightforward geometries—such as the complete graph or the 1-d torus—it can be handled only by means of non trivial probabilistic and functional analytic techniques. During the talk, I’ll try to give a broad overview of the problem and of its difficulties, and I'll present the few examples that have been completely settled. Based on joint work with P. Caputo (Roma Tre) and F. Sau (Università di Trieste) Vi aspettiamo numerosi! Alberto Chiarini e Alekos Cecchin

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per le elezioni del Consiglio Scientifico dell’INdAM
by Antonio DI CRESCENZO 12 Oct '23

12 Oct '23

All'elettorato attivo delle ELEZIONI 2023 per il rinnovo degli Organi dell’INdAM Care/i colleghe/i, come sapete, dal 10 ottobre 2023 (alle ore 10) all'11 ottobre 2023 (alle ore 17) saremo chiamati a rinnovare gli organi di governo dell'Istituto Nazionale di Alta Matematica "F. Severi" (cf. https://www.altamatematica.it/ <https://urlsand.esvalabs.com/?u=https%3A%2F%2Fwww.altamatematica.it%2F&e=ed…> blog/2023/08/08/elezioni-2023-per-il-rinnovo-degli-organi-*dellindam/)* In particolare, nell'elenco dei candidati per le elezioni del Consiglio Scientifico dell’INdAM è presente *Domenico Marinucci*, prof. ordinario di Probabilità e Statistica Matematica nel Dipartimento di Matematica dell’Università di Roma Tor Vergata (cf. https://www.altamatematica.it/blog/2023/09/19/elenco-dei-candidati-con-i-do… <https://urlsand.esvalabs.com/?u=https%3A%2F%2Fwww.altamatematica.it%2Fblog%…>). In allegato è presente una breve presentazione al riguardo. Altre informazioni sono disponibili al sito web https://sites.google.com/view/ <https://urlsand.esvalabs.com/?u=https%3A%2F%2Fsites.google.com%2Fview%2F&e=…> *domenicomarinucci/home* Desideriamo esprimere il nostro pieno e convinto sostegno nei confronti del collega *Marinucci*, in quanto reputiamo che la sua competenza ed esperienza potrà contribuire in modo significativo alla realizzazione delle attività e dei compiti del Consiglio Scientifico dell’INdAM. Ringraziando per l'attenzione, vi invitiamo a partecipare alle votazioni, Giacomo Aletti, Federico Bassetti, Luisa Beghin, Stefano Bonaccorsi, Luciano Campi, Nicoletta Cancrini, Pietro Caputo, Lucia Caramellino, Francesco Caravenna, Cristina Caroli Costantini, Andrea Cosso, Paolo Dai Pra, Anna De Masi, Ernesto De Vito, Antonio Di Crescenzo, Alessandra Faggionato, Franco Fagnola, Salvatore Federico, Marco Ferrante, Benedetta Ferrario, Franco Flandoli, Marco Fuhrman, Yun Gang Lu, Fabio Martinelli, Andrea Pascucci, Franco Pellerey, Mauro Piccioni, Enrico Priola, Pietro Rigo, Marco Romito, Laura Sacerdote, Enrico Scalas, Gianmario Tessitore, Dimitrios Tsagkarogiannis.

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Call for postdoc applications at Luiss in the area of Applied Mathematics
by Fausto Gozzi 11 Oct '23

11 Oct '23

Dear All Call for an 24-months postdoc on the topic "Impact of the Human Activities on the Environment and Economic Decision Making in a Heterogeneous Setting: Mathematical Models and Policy Implications" Deadline: November 6, 2023 - 2 p.m. - Central European Time (CET) Link to the call for application https://economiaefinanza.luiss.it/news/2023/10/03/bando-di-valutazione-comp… Link to submit your application https://cloudserverjsa.luiss.it/LGCAssegni/index.zul?CDS=AS4188 We are looking for candidates with an expertise in at least one of the following fields: theoretical and/or numerical analysis of PDEs, probability, and stochastic analysis, optimal control, differential games. Fausto Gozzi Dipartimento di Economia e Finanza LUISS - Guido Carli Viale Romania, 32 00197 Roma Italy tel 06.85225723 (office) FAX 06.86506513 e-mail: fgozzi(a)luiss.it webpage: http://docenti.luiss.it/gozzi/ old address, sometimes still used: Fausto Gozzi Dipartimento di Matematica Universita' di Pisa Largo Bruno Pontecorvo n.5 56127 Pisa Italy tel 050/2213270

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Call for interest for Postdoc at Tor Vergata
by Davide Pirino 11 Oct '23

11 Oct '23

Dear all, the Department of Economics and Finance of the University of Rome Tor Vergata is expressing a Call of Interest for two Postdoctoral Fellows funded under the following research projects: - Stochastic control and games and the role of information, PI: Prof. Katia Colaneri, funded by PRIN 2022 (12 months); - A New Paradigm for High-Frequency Finance, PI: Prof. Davide Pirino funded by PRIN 2022 (18 months). The postdoctoral fellows should have completed, or be close to completing, a PhD with substantial training in quantitative skills (econometrics, mathematical finance, stochastic analysis and control). The projects involve theoretical and empirical research. The applicant will become a member of a robust and dynamic quantitative team comprising over 10 researchers. Active participation and collaboration within the team are highly encouraged. Starting date: beginning of 2024. Teaching: none. The compensation structure is competitive, determined by one's job experience, and open to negotiation. Interested candidates can contact Prof. Colaneri (katia.colaneri(a)uniroma2.it) and Prof. Pirino (davide.pirino(a)gmail.com) for questions/clarifications, or to send a cv, as soon as possible.

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PhD position in Probability Theory at TU Delft
by Elena Pulvirenti 09 Oct '23

09 Oct '23

Dear all, could you help me share this position? If you know of any suitable candidate, I would be grateful if you could bring the position to their attention! With many thanks and best regards, Elena ************ The Institute of Applied Mathematics at *TU Delft* invites applications for a *PhD position in Probability Theory* We are looking for a highly motivated candidate to work under the supervision of Dr. E. Pulvirenti, Assistant professor in the *Applied Probability* group of Delft Institute of Applied Mathematics (DIAM). The PhD position is in the area of probability theory and statistical mechanics. The PhD project is a NWO funded "open competition project" which deals with the study of metastability for dilute spin systems. These are classical models of statistical mechanics with bond disorder, i.e. where deterministic pair interactions are replaced by random variables. The main objective is to develop a robust mathematical approach to study the metastable behaviour of these models. Metastability is a universal phenomenon, where a system spends a long time in a state of "pseudo equilibrium" until it crosses over to a stable state. This project aims at identifying the quantities characterising the stochastic nature of this phenomenon, such as the average and the distribution of the random transition time. The candidate should: - Hold a master's degree in mathematics or theoretical physics; - Have a profound knowledge of probability and mathematical physics\statistical mechanics; - Have eagerness to explore complex mathematical challenges; - Have English proficiency both written and spoken; - Be able to work both independently and collaboratively. Are you interested in this vacancy? Please apply before *19 November 2023* via the application button and upload your the following material: - A motivation letter (max. 2 pages) addressed to Elena Pulvirenti. The motivation letter should summarize: (i) why you would like to do a PhD, (ii) why you are interested in the project/topic, (iii) why your profile is suitable for the job, and (iv) what you hope to gain from the position; - A detailed CV (with contact information of 2-3 references); - A transcript of BSc and MSc grades; - The candidates bachelor's and master's theses (if available online, a link is sufficient). If available, a summary of the theses can be added; - Optional: (draft) versions of papers that you have submitted/published. You will be contacted by Elena Pulvirenti for an interview if you are among the leading candidates, in which case more specific information will be provided. For scientific inquiries regarding this vacancy, please contact Elena Pulvirenti, via email: E.Pulvirenti(a)tudelft.nl. In order to simplify communication, please add the prefix [PhDPulvirenti2023] to the email's subject. For more details about the position, see https://www.tudelft.nl/over-tu-delft/werken-bij-tu-delft/vacatures/details?…

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Fwd: PostDoc Position at Tufts
by Stefano Vigogna 09 Oct '23

09 Oct '23

> Begin forwarded message: > > From: "Murphy, James" <JM.Murphy(a)tufts.edu> > Subject: PostDoc Position at Tufts > Date: 5 October 2023 at 21:52:36 CEST > To: "vigogna(a)mat.uniroma2.it" <vigogna(a)mat.uniroma2.it> > > Hi Stefano, > > I hope you are well. I am hiring a postdoc to start in September of 2024. The ad is here: https://www.mathjobs.org/jobs/list/23235. If you know any students who are graduating and interested in an academic position in the USA, I would be grateful if you let them know about it. > > Thank you for your time and help, > > James

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Lutto per Giuseppe da Prato
by Lorenzo Zambotti 09 Oct '23

09 Oct '23

Care colleghe e cari colleghi il nostro amico e maestro Giuseppe da Prato si è spento durante la giornata di ieri, dopo una vita dedicata allo studio, alla ricerca, alla lettura. Faremo seguire informazioni sulle esequie e su iniziative in suo ricordo. Gli allievi di Beppe -- Lorenzo Zambotti Postal Address: Sorbonne Universite', LPSM - Boite courrier 158 4, place Jussieu - 75252 Paris cedex 05, France Bureau n. 22, 2eme etage, tours 16/26, Jussieu E-mail: lorenzo.zambotti(a)upmc.fr https://www.lpsm.paris/users/zambotti/index

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