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de Finetti Risk Seminar - settembre 2022
by Emanuela Rosazza Gianin 16 Sep '22

16 Sep '22

On behalf of the Scientific Committee of the "B. de Finetti Risk Seminars, Milano Lectures on the Mathematical Theory of Economics and Finance”, we are glad to invite you to participate at the following Lecture: Felix Liebrich Hannover University, Germany Title: A tale of one (or many) probabilities. Abstract: A crucial condition that allows to establish that two probability charges lambda-system agree is Marinacci’s Uniqueness Theorem (MUT). A countably additive probability charge Q and a convex-ranged probability charge P agree if there is a nontrivial event such that Q is constant on the generated P-equilikelihood class. Special cases of the MUT can be derived from Lyapunov’s Convexity Theorem and the sharp version of the Fréchet-Hoeffding bounds. A further alternative formulation of the assumption of the MUT is that the Q-expectation functional on simple random variables is locally P-invariant. It is this overlap between invariance and uniqueness that is the focus of the talk. We look at functionals defined on random variables that are globally invariant with respect to a reference probability P. Fixing a functional we ask the uniqueness question: Can there be more than one such such reference probability? For wide classes of functionals, we see that this is not the case unless they are (i) constant, or (ii) more generally depend only on the essential supremum and essential infimum of the argument. In the second part of the talk we return to the MUT and the recent, but significant extension provided by Svistula that dispenses with the countable additivity of Q. We expand and clarify the nature of the Svistula-MUT and uncover several equivalent conditions that enhance the applicability of said result. As a consequence, we present several applications. LOCATION: The seminar will be held on *September 28, *2022 at *18.00,* Conference hall 3-E4-SR03, Dept. of Decision Sciences, Bocconi University, Via G. Roentgen 1, Milan. Scientific Committee Prof. Simone Cerreia-Voglio (Univ. Bocconi) Prof. Marco Frittelli (Univ. degli Studi di Milano) Prof. Fabio Maccheroni (Univ. Bocconi) Prof. Marco Maggis (Univ. degli Studi di Milano) Prof. Massimo Marinacci (Univ. Bocconi) Prof. Emanuela Rosazza Gianin (Univ. Milano-Bicocca) ****************************************** Emanuela Rosazza Gianin Dipartimento di Statistica e Metodi Quantitativi Università di Milano-Bicocca Edificio U7 – 4° Piano Via Bicocca degli Arcimboldi, 8 20126 Milano Tel. 02 64483208 e-mail: emanuela.rosazza1(a)unimib.it ******************************************

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Summer school in Leipzig, May 2023
by Francesco Mattesini 16 Sep '22

16 Sep '22

Dear all, Rishabh Gvalani, Felix Otto, Markus Tempelmayr, and I are organising a two week-long summer school at the Max Planck Institute for Mathematics in the Sciences in Leipzig from the 10th to the 24th of May, 2023 on the general theme of "PDEs and randomness". The confirmed invited speakers include Roland Bauerschmidt (Cambridge), Bjoern Bringmann (IAS), Mitia Duerinkcx (FNRS/CNRS), Eva Kopfer (Bonn), and Nicolas Perkowski (FU Berlin). The talks will span a wide range of topics including, but not necessarily limited to, statistical mechanics, optimal transport, singular SPDEs, dispersive equations, and stochastic homogenisation. Each of the speakers will give 4 lectures of about 90 minutes each, spread out over 4 days. Additionally, we are planning on having reading groups/tutorial sessions in the afternoon, (self-)organized by the junior participants with support from the locals/organisers. We would be very grateful if you could keep this summer school in mind and also advertise it to the junior members of your respective research groups. You can find more information and the registration form on the website: https://www.mis.mpg.de/calendar/conferences/2023/randompde.html <https://www.mis.mpg.de/calendar/conferences/2023/randompde.html> Travel and accommodation support is available for junior participants. The deadline for funding applications is January 31, 2023. Best wishes, Rishabh Gvalani, Francesco Mattesini, Felix Otto, and Markus Tempelmayr

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Reminder: Workshop in Torino - 19 September 2022
by Giuseppe D'Onofrio 12 Sep '22

12 Sep '22

Dear all, A gentle reminder of the workshop on stochastic analysis and applications titled “*Noise: benefits and drawbacks in theory and applications*”, which will take place in *Torino* on *September 19, 2022*. The workshop will cover a wide range of topics including: stochastic analysis, SDEs and applications, stochastic models and processes with jumps. Speakers: - *Lucia Caramellino* (Università di Roma "Tor Vergata", Italy) - *Nikolaos Limnios* (Universite de Technologie de Compiègne, France) - *Barbara R**ü**diger *(Bergische Universität Wuppertal, Germany) - *Francesco Russo* (ENSTA Paris | Institut Polytechnique de Paris, France) - *Radomyra Shevchenko* (Max Planck Institute, Germany) The workshop is planned as an *in-person* event. Registration is free but mandatory. For more information, please visit the webpage https://sites.google.com/view/noisetorino/home-page I'm looking forward to seeing you in Turin! Best regards, Giuseppe D'Onofrio -- Giuseppe D'Onofrio Department of Mathematics University of Torino Via Carlo Alberto, 10 10123, Torino, Italy Email: g <federico.polito(a)unito.it>iuseppe.donofrio(a)unito.it Tel: +39 011 6702809 Web: https://sites.google.com/site/giuseppedonofriomath/home

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LUISS Math Seminar
by Sara 12 Sep '22

12 Sep '22

Dear colleagues, we are glad to announce the following seminar, within the list of LUISS Math Seminars for this Academic Year. On 29th September - in Room 407, at 12:30, LUISS University, viale Romania 32, Roma, Prof Soren Christensen, Kiel University, will talk about: *Nonparametric approaches to data-driven stochastic control* Abstract: One of the fundamental assumptions in stochastic control of continuous-time processes is that the dynamics of the underlying process are known. This is, however, usually obviously not fulfilled in practice. On the other hand, a rich theory for nonparametric estimation of the characteristics of continuous-time processes has been developed over the last decades. In this talk, we discuss how to bring together these two areas for developing purely data-driven strategies for stochastic control, which we explore for ergodic impulse and singular control problems. We compare the results with those of deep-Q learning algorithms. -- Sara Biagini, Professor of Mathematical Finance Department of Economics and Finance LUISS Guido Carli https://www.luiss.it/ Address: Viale Romania, 32 - 00197 Roma Web: http://sites.google.com/site/sarabiagini/

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Fwd: Lectureships in Probability or Actuarial/Financial Mathematics
by Faggionato, Alessandra 10 Sep '22

10 Sep '22

Buongiorno ricevo e con piacere inoltro. Saluti Alessandra ---------- Forwarded message --------- From: Amanda Turner <A.Turner5(a)leeds.ac.uk> Date: Fri, 9 Sept 2022 at 17:00 Subject: Lectureships in Probability or Actuarial/Financial Mathematics To: Amanda Turner <A.Turner5(a)leeds.ac.uk> Dear All (with apologies for cross-posting) The University of Leeds is currently advertising two Lectureships in Probability or Actuarial/Financial Mathematics, with an application deadline of 25th September. For details see https://jobs.leeds.ac.uk/Vacancy.aspx?ref=EPSMA1069. Please share this opportunity with anyone who might be interested. Amanda -- ************************************************* Prof. Alessandra Faggionato http://www1.mat.uniroma1.it/~faggionato/ Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome Office 5, Phone (0039) 06 49913252 *************************************************

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REMIND: MLDYN2022 - Scuola Normale Superiore, Nov 9-10 2022, Call for papers
by Giulia Livieri 09 Sep '22

09 Sep '22

Dear colleagues, We are pleased to announce the *2nd Edition of the** School* in *"Machine Learning of Dynamic Processes and Time Series Analysis” * that will be held at Scuola Normale Superiore in Pisa (Italy) on *November 9-10, 2022*. The School aims to present recent mathematical and data-driven approaches to Machine Learning for time series. In particular, this year, the School will focus on the mathematical and computational aspects of *Signatures, Reinforcement Learning, GAN, and Continual Learning*. The School includes four mini-courses held by as many keynote speakers and a limited number of contributed talks. *Keynote speakers*: 1. *Davide Bacciu <http://pages.di.unipi.it/bacciu/>*, University of Pisa 2. *Xin Guo <https://xinguo.ieor.berkeley.edu/>*, UC Berkeley 3. *Sebastian Jaimungal <https://sebastian.statistics.utoronto.ca/>*, University of Toronto 4. *Terry Lyons <https://www.maths.ox.ac.uk/people/terry.lyons>*, Oxford Man Institute of Quantitative Finance Detailed information on the School and instructions for registration can be found at: https://mldyn2022.wordpress.com (The number of participants in presence is limited to *40* - preference will be given to PhD students and young researchers) The call for abstract/paper submission to be selected for a contributed talk is now open at the following easy-chair link: https://easychair.org/conferences/?conf=mldyn2022 Both registration and submission deadlines are *September 15, 2022.* To contact the Organizer Committee, please send an email to: mldyn2022(a)gmail.com The organisers, Fabrizio Lillo Giulia Livieri Stefano Marmi Piero Mazzarisi

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Seminario Prof. Domenico Marinucci
by Enrica Pirozzi 08 Sep '22

08 Sep '22

AVVISO di SEMINARIO Title: The Geometry of Time-Dependent Spherical Random Fields Prof. Domenico Marinucci Università di Roma Tor Vergata Abstract: The investigation of the behaviour for geometric functionals of random fields on manifolds has drawn recently considerable attention. In this talk, we consider fluctuations over time for the excursion area and the length of level curves of time-dependent Gaussian spherical random fields. We focus on both long and short memory assumptions; in the former case, we show that the fluctuations are dominated by a single component, corresponding to a second-order chaos evaluated on a subset of the multipole components for the random field. We prove the existence of cancellation points where the variance is asymptotically of smaller order; these points may not include the nodal case u=0, in marked contrast with recent results on the high-frequency behaviour of nodal lines for random eigenfunctions with no temporal dependence. In the short memory case, we show that all chaoses contribute in the limit, no cancellation occurs and a Central Limit Theorem can be established by Fourth-Moment Theorems and a Breuer-Major argument. The talk is based on joint works with Maurizia Rossi and Anna Vidotto. Il seminario si terrà il giorno 13 Settembre 2022 ore 12:00 nella Aula E terzo livello del Dipartimento Matematica e Applicazioni, Università di Napoli FEDERICO II, Complesso di Monte Sant'Angelo, Via Cintia, Napoli. Link al seminario su Teams: https://teams.microsoft.com/l/meetup-join/19%3aMQ4RZDBo_0G-K_PHxKtktVYAczOG… *** -- Enrica Pirozzi Dipartimento di Matematica e Applicazioni Universita' di Napoli FEDERICO II Via Cintia, Monte S.Angelo, 80126, NAPOLI, ITALY Tel. 081 675634 https://www.docenti.unina.it/ENRICA.PIROZZI

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Seminario Prof. Luisa Beghin
by Enrica Pirozzi 08 Sep '22

08 Sep '22

AVVISO di SEMINARIO Title: Non-gaussian processes linked to H-functions Prof.ssa Luisa Beghin Università di Roma La Sapienza Abstract. In the context of non-Gaussian analysis, Schneider [1] introduced grey noise measures, built upon Mittag-Leffler functions; analogously, grey Brownian motion and its generalizations were constructed (see, for example, [2], [3], [4], [5]). In [6], we construct and study a new non-Gaussian measure, by means of the incomplete-gamma function (exploiting its complete monotonicity).The related generalized processes, in the infinite dimensional setting, are also defined and, through the use of the Riemann-Liouville fractional operators, the (possibly tempered) Gamma-grey Brownian motion is consequently introduced. All the above mentioned processes allow modeling anomalous diffusions, mimicking the procedures of classical stochastic calculus. Finally, we present the extensions of the previous results obtained by means of the Fox H-functions, which generalize both the Mittag-Leffler and the incomplete-gamma functions (under appropriate assumptions). (This is a joint work with L. Cristofaro) [1] W.R. Schneider, Grey noise, in Ideas and Methods in Mathematical Analysis, Stochastics and Applications, vol. I, S. Albeverio, J.E. Fenstad, H. Holden, T. Lindstrom, eds., Cambridge University Press, Cambridge, 1990, 261-282. [2] A. Mura, G. Pagnini, Characterizations and simulations of a class of stochastic processes to model anomalous diffusion, Journal of Physics A: Math. Theor., 41, 2008, 285003, 22 p. [3] W. Bock, S. Desmettre, J.L. da Silva, Integral representation of generalized grey Brownian motion, Stochastics, 92 (4), 2020, 552-565. [4] J.L. da Silva, M. Erraoui, Generalized grey Brownian motion local time: existence and weak approximation, Stochastics, 87 (2), 2015, 347-361. [5] J.L. da Silva, M. Erraoui, Singularity of generalized grey Brownian motion and time-changed Brownian motion, AIP Conference Proceedings, vol. 2286, (1), 2020, article id.020002. [6] L. Beghin, L. Cristofaro, J. Gajda, Non-gaussian measures in infinite dimensional spaces: the gamma-grey noise, 2022, arXiv 2207.13609, submitted. Il seminario si terrà il giorno 13 Settembre 2022 ore 11:00 nella Aula E terzo livello del Dipartimento Matematica e Applicazioni, Università di Napoli FEDERICO II, Complesso di Monte Sant'Angelo, Via Cintia, Napoli. Link al seminario su Teams: https://teams.microsoft.com/l/meetup-join/19%3aMQ4RZDBo_0G-K_PHxKtktVYAczOG… *** -- Enrica Pirozzi Dipartimento di Matematica e Applicazioni Universita' di Napoli FEDERICO II Via Cintia, Monte S.Angelo, 80126, NAPOLI, ITALY Tel. 081 675634 https://www.docenti.unina.it/ENRICA.PIROZZI

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avviso di seminario: Mathematical AI for molecular data analysis
by Alessandra Micheletti 08 Sep '22

08 Sep '22

Con preghiera di diffusione *Annuncio di seminario* Il giorno 26 Settembre 2022 ore 15.00 nella Sala di Rappresentanza del Dipartimento di Matematica, Università degli Studi di Milano Via Saldini 50, Milano il* Dr. Kelin Xia,* *Nanyang Technological University, Singapore* terrà il seguente seminario *Mathematical AI for molecular data analysis* *Abstract:* Artificial intelligence (AI) based molecular data analysis has begun to gain momentum due to the great advancement in experimental data, computational power and learning models. However, a major issue that remains for all AI-based learning models is the efficient molecular representations and featurization. Here we propose advanced mathematics-based molecular representations and featurization (or feature engineering). Molecular structures and their interactions are represented as various simplicial complexes (Rips complex, Neighborhood complex, Dowker complex, and Hom-complex), hypergraphs, and Tor-algebra-based models. Molecular descriptors are systematically generated from various persistent invariants, including persistent homology, persistent Ricci curvature, persistent spectral, and persistent Tor-algebra. These features are combined with machine learning and deep learning models, including random forest, CNN, RNN, Transformer, BERT, and others. They have demonstrated great advantage over traditional models in drug design and material informatics. *Short Bio:* Dr. Kelin Xia obtained his Ph.D. degree from the Chinese Academy of Sciences in Jan 2013. He was a visiting scholar in the department of Mathematics, Michigan State University from Dec 2009-Dec 2012. From Jan 2013 to May 2016, he worked as a visiting assistant professor at Michigan State University. He joined Nanyang Technological University at Jun 2016. His research focused on Mathematical AI for molecular sciences. He has published >60 papers and has been PI and Co-PI for 15 grants (>3.0M SGD). Tutti gli interessati sono invitati a partecipare. Per informazioni contattare alessandra.micheletti(a)unimi.it -- ------------------------------------ Alessandra Micheletti Associate Professor - Probability and Mathematical Statistics ECMI <https://ecmiindmath.org/> Vice President Dept. of Environmental Science and Policy - ESP Università degli Studi di Milano via Saldini 50, 20133 Milano, Italy phone: +39-02503-16130 fax: +39-02503-16090 https://alessandramichelettiwebpage.wordpress.com/

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Seminario di Rongfeng Sun a Milano-Bicocca (9 set 2022)
by Francesco Caravenna 07 Sep '22

07 Sep '22

Ho il piacere di annunciare il seminario di Rongfeng Sun (National University of Singapore): "A new correlation inequality for Ising models with external fields" che si terrà venerdì 9 settembre 2022 alle ore 14:00 in aula U5-3014 (Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca). Trovate l'abstract di seguito. Tutti gli interessati sono invitati a partecipare. Francesco Caravenna %%%%%%%%%%%%%%%% Abstract. We study ferromagnetic Ising models on finite graphs with an inhomogeneous external field. We show that the influence of boundary conditions on any given spin is maximised when the external field is identically 0. One corollary is that spin-spin correlation is maximised when the external field vanishes. In particular, the random field Ising model on Z^d, d ≥ 3, exhibits exponential decay of correlations in the entire high temperature regime of the pure Ising model. Another corollary is that the pure Ising model on Z^d, d ≥ 3, satisfies the conjectured strong spatial mixing property in the entire high temperature regime. Based on joint work with Jian Ding and Jian Song. %%%%%%%%%%%%%%%% -- _________________________________________ Francesco Caravenna Dipartimento di Matematica e Applicazioni Università degli Studi di Milano-Bicocca Via Cozzi 55, 20125 Milano, Italy http://www.matapp.unimib.it/~fcaraven/ _________________________________________

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