- Random - Mailing list — Dipartimento di Matematica, UniPI

Seminario PRISMA oggi
by Francesco Caravenna 06 May '24

06 May '24

Seminari on-line del gruppo UMI - PRISMA (http://www.umi-prisma.polito.it/ <http://www.umi-prisma.polito.it/>) Ricordiamo che oggi, lunedì 6 maggio 2024, Domenico Marinucci (Università di Roma Tor Vergata) e Anna Vidotto (Università di Napoli Federico II) ci parleranno di La geometria degli insiemi di escursione per campi aleatori Gaussiani e La geometria dei campi aleatori sfera-per-tempo con il seguente orario: 16:00 Primo seminario 16:30 Pausa e discussione 16:45 Secondo seminario 17:15 Conclusione e discussione Trovate di seguito il riassunto. I seminari verranno trasmessi via Zoom al seguente link: https://uniroma1.zoom.us/j/82939128330 <https://uniroma1.zoom.us/j/82939128330> Meeting ID: 829 3912 8330 Vi aspettiamo numerosi, Valentina Cammarota e Francesco Caravenna %%%%%%%%%%%%%%%%%%%%%%%%%%%% RELATORI: Domenico Marinucci (Università di Roma Tor Vergata) e Anna Vidotto (Università di Napoli Federico II) TITOLO: La geometria degli insiemi di escursione per campi aleatori Gaussiani. RIASSUNTO: Obiettivo del seminario sarà di presentare una panoramica relativamente informale su alcuni risultati nell'analisi della geometria dei campi aleatori che sono stati ottenuti negli ultimi 10 anni circa. In particolare, si inizierà ricordando i risultati sulle curvature di Lipschitz-Killing di insiemi di escursione per campi Gaussiani (la Gaussian Kinematic Formula di Adler e Taylor); si proseguirà quindi con risultati per la varianza e teoremi del limite centrale nel regime di asintotica ad alta frequenza, discutendo anche le connessioni con altri campi della probabilità (in particolare, le espansioni in caos di Wiener ed il metodo di Stein-Malliavin). Se il tempo lo permetterà, si discuterà altresì la struttura di interdipendenza tra curvature di Lipschitz-Killing e punti critici, con alcuni cenni agli sviluppi più recenti (la geometria dei fibrati aleatori) e alle motivazioni/applicazioni di questi risultati. TITOLO: La geometria dei campi aleatori sfera-per-tempo. RIASSUNTO: Obiettivo del mio seminario sarà introdurre un nuovo regime asintotico per lo studio di campi aleatori definiti sulla sfera unitaria e dipendenti dal tempo. Considereremo statistiche di diversi funzionali geometrici costruite a partire dagli insiemi di livello del campo aleatorio e definite su un arco temporale crescente. Vedremo che le loro proprietà asintotiche, in particolare varianza e distribuzione limite, dipenderanno da un’interazione tra memoria temporale e livello. Infine, discuteremo brevemente le possibili applicazioni di questi modelli e dei risultati enunciati ad uno studio statistico delle proprietà dei campi aleatori di partenza, e conseguenti risvolti pratici nel campo delle scienze del Clima. %%%%%%%%%%%%%%%%%%%%%%%%%%%% I seminari PRISMA hanno un formato di "colloquium" per creare un'occasione di scambio e discussione con tutta la comunità dei probabilisti e statistici italiani. Ogni giornata comprende due relatori che tengono due seminari di 30 minuti strettamente connessi, per presentare alla comunità una prospettiva sul proprio ambito di ricerca. Da quest'anno le registrazioni dei seminari vengono pubblicate sul canale YouTube dell'UMI: https://youtube.com/playlist?list=PLmySpc-jrtAMq84VH71evyqPc1hl6eEQb <https://youtube.com/playlist?list=PLmySpc-jrtAMq84VH71evyqPc1hl6eEQb> %%%%%%%%%%%%%%%%%%%%%%%%%%%%

1 0

14/05/2024 - Bayes Spaces for FDA - IASC short course
by Enea Bongiorno 06 May '24

06 May '24

Carissimi colleghi, scusandomi per eventuali invii multipli, vi inoltro il seguente annuncio di short-course patrocinato da IASC (International Association for Statistical Computing). Tutti gli interessati sono invitati a partecipare. Cordialmente, Enea Bongiorno -------------------------------- - data e orario: 14 Maggio 2024 ore 10.30 - aula 207, campus Perrone, via Perrone, 18, Novara. Università del Piemonte Orientale "Amedeo Avogadro" - on-line: https://meet.google.com/qse-iafg-wim Title: Bayes spaces for functional data analysis of density functions: from univariate to multivariate setting Speakers: Jitka Machalova, Palacký University Olomouc, Czech Republic Karel Hron, Palacký University Olomouc, Czech Republic Alessandra Menafoglio, Politecnico di Milano, Italy Abstract: The analysis of distributional data (probability density functions or histogram data) has recently gained increasing attention in the applications. Distributional data are often observed by themselves, or as result of aggregation of large streams of data. The short course will provide an introduction to the analysis of these data using a Functional Data Analysis (FDA) approach, grounded on the perspective of Bayes spaces. These spaces are mathematical spaces whose points are densities (or, more generally, measures), which generalize to the FDA setting the Aitchison simplex for multivariate compositional data. The course will give an overview of the theory of Bayes spaces in their univariate and multivariate settings. All FDA methods, presented there, will be illustrated through examples from real case studies. The short course will provide an opportunity to gain new insight into FDA of univariate and multivariate density functions through the lens of the Bayes spaces methodology. The course is supported by the European regional section of the International Association for Statistical Computing (IASC - iasc-isi.org) an association of the International Statistical Institute (ISI - isi-web.org <https://www.isi-web.org/>). ----------------------------------- Locandina dell'evento <https://drive.google.com/file/d/1wQ32TWBG4HXppmonLnwU0HXhBRMGz3ek/view?usp=…> Seminari Matematici Statistici <https://seminari-ms.uniupo.it/home-page> ----------------------------------- -- Enea G. Bongiorno, Università degli Studi del Piemonte Orientale - Amedeo Avogadro Via Perrone 18, 28100, Novara, Italia Phone: +390321375317 enea.bongiorno(a)uniupo.it upobook.uniupo.it/enea.bongiorno ------ Math-Stat Seminars at UPO seminari-ms.uniupo.it/home-page ------

1 0

Young Summer School on Stochastic Analysis 2024 - June - Växjö, Sweden
by Luisa Beghin 03 May '24

03 May '24

Buongiorno, ricevo ed inoltro, scusandomi per eventuali invii multipli. Cordiali saluti. Luisa ---------- Forwarded message --------- Da: Wolfgang Bock <wolfgang.bock(a)lnu.se> Date: ven 3 mag 2024 alle ore 09:10 Subject: Young Summer School on Stochastic Analysis 2024 To: Cc: Marco Rehmeier <mrehmeier(a)math.uni-bielefeld.de>, Ihsan Arharas < ihsan.arharas(a)lnu.se> Dear Colleagues, could you please spread this information in your groups to interested students and post-docs? We would like to draw your attention to the *Young Summer School on Stochastic Analysis and (broadly) related fields, held 26.-29.06.2024 in Växjö, Sweden. * The school is targeted at PhD-students and PostDocs. Master students are also welcome. Participation is free, but registration is mandatory via the form on our website: https://sites.google.com/view/ysssa24. Our aim is to bring together young researchers for scientific exchange, networking and discussions on career paths. Participants are encouraged to give a talk or to present a poster (please indicate this in the registration form). There will also be a mini lecture series, a panel discussion on career paths, and a conference dinner. Limited funding may be available, please check our webpage regularly for more information. We hope to spend an exciting week with you, framed by the wonderful Swedish midsummer landscape. With best regards Wolfgang Bock, Ihsan Arharas and Marco Rehmeier (organizers) -- *Fai crescere le giovani ricercatrici e i giovani ricercatori*** *con il 5 per mille alla Sapienza* Scrivi il codice fiscale dell'Università *80209930587 **Cinque per mille <https://www.uniroma1.it/it/node/23149>*

1 0

Fwd: PhD student or postdoc position in probability at TU Braunschweig
by Faggionato, Alessandra 03 May '24

03 May '24

Buongiorno ricevo e con piacere inoltro. Saluti Alessandra ---------- Forwarded message --------- From: Andres, Sebastian <sebastian.andres(a)tu-braunschweig.de> Date: Fri, 3 May 2024 at 11:31 Subject: PhD student or postdoc position in probability at TU Braunschweig Dear colleagues, We are currently advertising a position as PhD student or postdoc in probability theory at TU Braunschweig, Germany. Closing date is May 31st 2024. More details can be found below. I would appreciate if you could circulate this to potential candidates. Thank you very much! Best wishes Sebastian The Institute for Mathematical Stochastics at Technical University Braunschweig, Germany, is looking for a *Doctoral Candidate or Postdoctoral Research Associate (m/f/d) in the field of Probability Theory* The position is to be filled on a fixed-term basis for an initial period of 3 years. The position is embedded in the working group of Prof. Sebastian Andres and focuses on questions related to random walks and other stochastic processes in random environment and the associated partial differential differential equations describing the transition probabilities or heat kernels of such processes. The successful candidate will have a degree (Master’s or equivalent) in Mathematics or a subject requiring substantial mathematical expertise as well as very good knowledge of the German and English language, in particular the ability to teach courses in German, after an initial phase if required. Further information can be found at https://www.tu-braunschweig.de/en/vacancies/templates/job-offer-normal-germ… Please send your application (including cover letter, CV, short research statement (up to 6 pages), academic certificates, and names and contact details of at least two reference writers) preferably via email to sebastian.andres(a)tu-braunschweig.de <https://www.tu-braunschweig.de/en/vacancies/templates/job-offer-normal-germ…> or via mail to Technische Universität Braunschweig, Institut für Mathematische Stochastik, Universitätsplatz 2, D-38106 Braunschweig. Deadline for applications is May 31st, 2024 -- ************************************************* Prof. Alessandra Faggionato https://www1.mat.uniroma1.it/people/faggionato/ Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome Office 123, first floor *************************************************

1 0

(PMS)^2 talks - G. CHERUBINI and R.W. MAFFUCCI - may 9 at 14:00
by Maurizia Rossi 02 May '24

02 May '24

Dear colleagues, we are happy to announce the following two talks *Giacomo Cherubini* (INdAM & Univ. Roma La Sapienza) *From arithmetic random waves to universal quadratic forms* *Abstract: *Arithmetic random waves are eigenfunctions of the Laplacian on the torus R^2/Z^2, written as sums of sines and cosines with random coefficients. In agreement with Yau's conjecture, we know that the length of the nodal set (i.e. the zero set) is of size proportional to the square root of the eigenvalue and in 2013, Krishnapur-Kurlberg-Wigman proved an asymptotic formula for its fluctuations. In this talk we will give an overview of the situation for the torus R^n/Z^n, highlighting the link between eigenspaces and quadratic forms and arriving at the statement of the "290-Theorem", which characterizes when a positive definite integral quadratic form represents all positive integers. *Riccardo W. Maffucci* (Univ. Coventry) *Nodal intersections and correlation structure for random waves* *Abstract: *This talk is based on joint works with V. Cammarota, D. Marinucci, and M. Rossi. Several recent papers studied the ensemble of Laplace Toral eigenfunctions, and their randomisation ‘arithmetic waves’, introduced in 2007 by Oravecz-Rudnick-Wigman. These waves are related to the arithmetic of writing a number as the sum of d squares, where d is the dimension. One question is the nodal (zero) volume of the wave, in the high energy limit. Restrictions of the wave to submanifolds have also attracted recent attention. We considered the length of intersection between the nodal set, and a fixed reference surface in 3 dimensions. Expectation, and variance in a general scenario were prior work. In the generic setting we prove a CLT. We will discuss (finer order) variance and (non-Gaussian) limiting distribution in the case of ‘static’ surfaces (e.g. sphere). We will also discuss recent developments on the correlation structure between different functionals of the wave. Under certain assumptions, there is asymptotic full correlation between intersection length and nodal area. Date and time: Thursday* May 9, 14:00-15:30 (Rome time zone)* Place: *Aula 3014, Dip. Matematica e Applicazioni, Univ. Milano-Bicocca, Via R. Cozzi 55, Milano* *Webex meeting link:* https://unimib.webex.com/unimib-it/j.php?MTID=m1c4d20c1f6c3199f3682809e0f4a… *Meeting number:* 2742 624 6987 *Meeting password:* mmYN7WusD46 *These talks are part of the* *(PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics* *organized jointly by the universities Milano-Bicocca, Pavia and Milano-Politecnico.* Participation is free and welcome! Best regards The organizers (Carlo Orrieri, Maurizia Rossi, Margherita Zanella) -- Maurizia Rossi Dipartimento di Matematica e Applicazioni Università degli Studi di Milano-Bicocca https://mauriziarossi.wordpress.com

1 0

Seminario Federico Cornalba - Politecnico di Milano - 2 Maggio 2024
by Luca Scarpa 02 May '24

02 May '24

Si segnala il seguente seminario a tutti gli interessati. Giovedì 2 Maggio 2024, ore 11. Aula Seminari - III Piano, Dipartimento di Matematica, Politecnico di Milano. Speaker: Federico Cornalba, University of Bath. Title: Numerical and analytical aspects for stochastic equations from Fluctuating Hydrodynamics. Abstract: Large-scale systems of interacting particles are ubiquitous, with applications ranging from thermal advection phenomena to gradient descent algorithms in machine learning. While the mean-field-limit (MFL) perspective allows to efficiently characterize the ‘average’ evolution of many such particles systems (usually via PDEs), it does not incorporate a macroscopic description of the particles’ intrinsic fluctuations. The theory of Fluctuating Hydrodynamics addresses this aspect by instead describing the particle systems via stochastic PDEs which enrich the underlying MFL dynamics. For a weakly interacting multi-species system, we will discuss the interplay between MFL dynamics and associated stochastic PDE, and show that numerical discretizations of the latter can approximate the particles’ fluctuations in an accurate and efficient way. Based on joint works with Julian Fischer (IST Austria), Jonas Ingmanns (IST Austria), Claudia Raithel (TU Dresden). Link Zoom: https://<https://polimi-it.zoom.us/j/91570308862?pwd=Qy9pQy9JdEViVTJValAzN2tGbng3QT09>polimi-it.zoom.us/j/91570308862?pwd=Qy9pQy9JdEViVTJValAzN2tGbng3QT09<https://polimi-it.zoom.us/j/91570308862?pwd=Qy9pQy9JdEViVTJValAzN2tGbng3QT09> Link Seminario Polimi: https://www.mate.polimi.it/eventi/?id=2414 ----- Prof. Luca Scarpa, PhD Associate Professor in Probability Department of Mathematics Politecnico di Milano Via E. Bonardi 9 20133 Milano, Italy e.mail: luca.scarpa(a)polimi.it<mailto:luca.scarpa@polimi.it> url: https://sites.google.com/view/lucascarpa

1 0

AMASES summer school on "Machine learning methods for finance"
by Piero MAZZARISI 01 May '24

01 May '24

Dear all, On behalf of the Italian Association for Mathematics Applied to Social and Economic Sciences (AMASES), I am co-organizing a summer school on “Machine learning methods for finance", which will take place in Bertinoro (Forlì-Cesena, Centro Residenziale Universitario) on July 14-19. The deadline for applications is June 5. The candidature (along with the CV) can be sent to summer.school.amases2024(a)gmail.com <mailto:summer.school.amases2024@gmail.com> See the attached flyer and the website https://www.amases.org/amases-summer-school-2024/ for more info. For any further info, please send an email to summer.school.amases2024(a)gmail.com <mailto:summer.school.amases2024@gmail.com> Please distribute the call to any potential applicant. All the best, p — Piero Mazzarisi Department of Economics and Statistics University of Siena Personal website: https://pieromazzarisi.wordpress.com <https://pieromazzarisi.wordpress.com/>

1 0

Post-doc position at the ESOMAS Department (UniTO)
by Luca Regis 30 Apr '24

30 Apr '24

Dear colleagues, it is my pleasure to advertise a post-doc position at the ESOMAS Department of the University of Torino to work with me on longevity risk-related themes (pension scheme design and socio-economic inequality). Please share the information as much as possible. The position is for 15 months, for an annual amount of 24320 euros. To apply, go here: https://pica.cineca.it/unito/assegni-di-ricerca-unito-2024-i-pnrr/ For any further information, please feel free to reach out to me at luca.regis(a)unito.it. The position is financed by the PNRR (Spoke 6 - Project "LinDor"). The ESOMAS Department <https://www.esomas.unito.it/do/home.pl> was awarded the "Department of Excellence" grant for 2017-2022 and 2023-2027 and has a strong group of researchers working on finance, actuarial science, stochastic control and carrying out activities at the Collegio Carlo Alberto <https://www.carloalberto.org/cca-finance/>. ------------- Luca Regis Associate Professor ESOMAS Department, University of Torino Affiliate, Collegio Carlo Alberto sites.google.com/view/lucaregis www.carloalberto.org/lti

1 0

Seminario di Camille Tardif a Roma Tre il 9 maggio
by Pietro Caputo 30 Apr '24

30 Apr '24

Giovedì* 9 Maggio* 2024 alle ore *14:30*, Camille Tardif (Sorbonne Université, LPSM Paris) terrà il seminario di Probabilità dal titolo "*Persistence problem for additive functionals of one-dimensional diffusion processes*". Abstract: I will present a joint work with Quentin Berger and Loïc Bethencourt. We study the asymptotics of the probability that a signed additive functional of a recurrent one-dimensional diffusion stays below some constant level for a long time. Under our hypothesis we prove that this persistence probability decreases polynomially and we find the persistence exponent. For that we decompose the diffusion into excursions and the problem is reduced to study the fluctuations of some Lévy process naturally associated with the additive functional. Il seminario si svolgerà in presenza presso il Dipartimento di Matematica e Fisica - Lungotevere Dante, 376 - *Aula L*

1 0

SPASS Seminar: Remco van der Hofstad
by Gianmarco Bet 30 Apr '24

30 Apr '24

Dear Colleagues, We would like to invite you to the following SPASS seminar, jointly organized by UniPi, SNS, UniFi and UniSi: *Local and 'almost' local structure of random graphs* by *Remco van der Hofstad* (*Eindhoven University of Technology*) The seminar will take place on TUE, 07.05.2024 at 14:00 CET in Aula 102, Dipartimento di Matematica e Informatica "Ulisse Dini", Università degli Studi di Firenze, and streamed online at this link <https://meet.google.com/gji-phwo-vbg>. The organizers, A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco https://sites.google.com/unipi.it/spass -------------------------------------------- *Abstract:* * Ever since its invention by Benjamini and Schramm, and independently by Aldous and Steele, local convergence has become an indispensable tool in random graph theory. Many properties, such as subgraph counts, clustering, degree distributions and degree-degree dependencies, but also the number of spanning trees on a graph, and, under mild extra conditions, the free energy of the Ising model, are asymptotically determined by the local limit. Even more properties are not local, yet their behavior in many random graph models is still dictated by the local limit. An example is the size of the maximal connected component, which was recently shown to be `almost' local, in the sense that the proportion of vertices in it equals the survival probability of the local limit subject to one natural necessary and sufficient condition. In this lecture, we give an overview of local convergence and the local and `almost local’ structure of random graphs. We discuss that most real-world networks are sparse, in that their average degrees are bounded, while they can be quite inhomogeneous in that vertices of very high degree may exist. For such settings, local convergence is the natural notion of graph convergence for graph sequences with diverging sizes. It describes how the proportion of vertices whose neighborhoods have a certain shape converges to a limiting value, which can be seen as the neighborhood of a vertex in a limiting infinite graph, which can be random even when the finite graph is deterministic. We then discuss consequences of local convergence for random graph sequences.*

1 0