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A journey through memories: spin glasses, associative neural networks and machine learning

The Hopfield model represents a foundational paradigm in artificial intelligence, providing a prototypical example of an attractor neural network designed to implement associative memory. Since its in...

A journey through memories: spin glasses, associative neural networks and machine learning

Abstract:  The Hopfield model represents a foundational paradigm in artificial intelligence, providing a prototypical example of an attractor neural network designed to implement associative memo...

The multiple cover formula conjecture for Gromov-Witten invariants of abelian surfaces

Abelian surfaces are complex tori whose enumerative invariants satisfy remarkable regularity properties. The computation of their (reduced) Gromov-Witten invariants for the so called primitive classes...

Hyperelastic models with contact and viscosity: simulation of stents in arterial tissues

In this talk, we focus on the modeling and simulation of large-strain (hyperelastic) elasticity problems, with particular application to the study of soft biological tissues. We also consider friction...

Stochastic Controlled Delay Equations: Optimal Control, Mean Field Control, Mean Field Games

We present some recent results on optimal control/differential games in cases where the state equation is a stochastic delay differential equation (SDDE) with delay in the state and/or in the control....

Algebraic exceptional set of a three-component curve on rational surfaces

Motivated by the Green-Griffiths and Lang-Vojta conjectures, it is expected that the algebraic exceptional set of a log-surface $(X,B)$ of log-general type - which parametrizes rational curves on $X$ ...

L2 Harmonic forms and spinors on stable minimal hypersurfaces

Stable minimal hypersurfaces are a central topic in both Riemannian geometry and geometric analysis. Starting with the foundational work of Fischer-Colbrie and Schoen, the last decades have seen an in...

Conditional propagation of chaos for mean field systems of interacting neurons

Joint work with Dasha Loukianova and Elisa Marini We consider a system of N interacting particles, described by SDEs driven by Poisson random measures, where the coefficients depend on the empirical m...

Clima, acqua, malattie e solidarietà nel mondo che cambia

Il clima sta cambiando rapidamente. Dobbiamo farlo anche noi, non considerando scontati privilegi consolidati dal tempo, usi e tradizioni dei luoghi, organizzazioni politiche e sociali, e le espressio...

Mathematical Modeling and Analysis of Regeneration in Flatworms

Planaria are flatworms which possess the ability to regenerate after rather severe injuries to their body. Even very small tissue parts cut from the flatworm can regenerate to a fully functioning and ...

Quasi-classical Limit of a Spin Coupled to a Reservoir

We consider a spin in contact with a bosonic reservoir, whose state contains a parameter interpolating between quantum and classical reservoir features. For energy conserving interactions we study dec...

Largest compact subvarieties of the moduli space of complex polarized Abelian varieties

The moduli space $A_g$ of complex principally polarized Abelian varieties of dimension $g$ is an irreducible quasi-projective variety, which, for $g>1$, is neither affine nor projective. One can me...