Buongiorno a tutt*
ho il piacere di annunciare il prossimo webinar del ciclo di seminari online
promosso dal Gruppo UMI PRISMA (http://www.umi-prisma.polito.it/index.html).
*Lunedì 8 maggio 2023*
*ore 16-17 Luisa Beghin *
*Title*: Non-local differential operators in probability
*Abstract*
The study of nonlocal differential operators is an active field of research in pure and applied mathematics and has been drawing increasing attention over the last few years. Fractional-order operators (i.e. integrals and derivatives of non-integer order) are maybe the most famous and studied in the literature. Their origin goes back to the end of the seventeenth century, but only recently they have been applied to a variety of fields ranging from biology to engineering, probability theory, physics, image processing among others. In this talk, we will concentrate our attention on the stochastic applications of non-local operators, in particular in the theory of anomalous diffusions and renewal processes.
*ore 17-18 Valentina Cammarota*
*Title*: On the Correlation of Critical Points and Angular Trispectrum for Random Spherical Harmonics.
*Abstract*
We prove a Central Limit Theorem for the Critical Points of Random Spherical Harmonics, in the High-Energy Limit. The result is a consequence of a deeper characterizations of the total number of critical points, which are shown to be asymptotically fully correlated with the sample trispectrum, i.e., the integral of the fourth Hermite polynomial evaluated on the eigenfunctions themselves. As a consequence, the total number of critical points and the nodal length are fully correlated for random spherical harmonics, in the high-energy limit.
Qui di seguito il link per la partecipazione:
https://teams.microsoft.com/l/meetup-join/19%3ad186a45e5730441d9b85bc1171246...
Cari saluti,
Claudia Ceci
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Claudia Ceci
Dipartimento di Metodi e Modelli per l’Economia, il Territorio e la Finanza (MEMOTEF)
Università di Roma La Sapienza Via Del Castro Laurenziano 9 Roma 00161 Italy
Email: claudia.ceci@uniroma1.it
Il giorno 12/5/2023, alle ore 14:00, presso il Dipartimento di Matematica del Politecnico di Milano, Edificio 14 "La Nave", aula seminari III piano, si svolgerà il seguente seminario:
Rare events in sparse random graphs. Luisa Andreis, Dipartimento di Matematica, Politecnico di Milano.
Rare events for dense random graphs are well described using the theory of large deviations and graphons. When graphs are sparse the picture is less clear, objects that describe globally the graphs and their limits, as graphons do for dense graphs, have not been defined yet. Nevertheless we do have information on how these graphs look like when explored locally from a vertex and this, under some assumptions, gives also information on global properties. In this talk we will give an overview on what is known on rare events in this regime, focusing in particular on large deviation statements on connected components in inhomogeneous random graphs and on links with coagulation processes.
This talk is based on joint works with Wolfgang K¨onig (WIAS and TU Berlin), Tejas Iyer, Heide Langhammer, Elena Magnanini and Robert Patterson (WIAS).
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Claudia Ceci -
Federico Bassetti