RNA velocity is a biological quantity involved in the interpretation of cellular differentiation, exploiting the evolution of gene expression of…
Categoria evento: Seminari MAP
On the non-linear Schrödinger equation with a point interaction – Raffaele Scandone (Università degli Studi di Napoli Federico II)
In this talk I will discuss the Schrödinger operators with point interaction, which model the dynamics of a quantum particle…
Non-local functionals converging to Sobolev and BV norms – Nicola Picenni (Scuola Normale Superiore di Pisa)
During the last twenty years, inspired by the famous “BBM formula”, many non-local characterizations of Sobolev and BV spaces have…
Stability of dispersive collisionless many-particle system – Renato Velozo Ruiz (Sorbonne Université)
I will discuss non-linear stability results concerning the asymptotic behavior of solutions to classical models arising in kinetic theory. Firstly,…
Long-range interactions in configurations of liquid droplets at equilibrium – Konstantinos Bessas (Università di Pavia)
In the first part of the talk we will introduce variational problems involving the free energy associated to the surface…
Large Deviations for Empirical Measures of Self-Interacting Markov Chains – Pavlos Zoubouloglou (University of North Carolina)
Let $\Delta^o$ be a finite set and, for each probability measure $m$ on $\Delta^o$, let $G(m)$ be a transition kernel…
The Kato square root problem on pasta – Gianmarco Brocchi (Chalmers University/Gothenburg University)
Consider a matrix $A$ with complex, bounded, coefficients, which satisfies an ellipticity condition. In 1953 Tosio Kato asked what is…
From combinatorics to PDE – Francesco Mattesini (Münster University/Max Planck Institute Leipzig )
The optimal matching problem is a popular random variational problem that received interest in the last 30 years. It was…
Diffuse approximation of the Willmore functional and a conjecture of De Giorgi – Mattia Freguglia (Scuola Normale Superiore di Pisa)
In the last thirty years, there has been a growing interest in geometric energies, as for example the Perimeter functional…
Travelling waves for a nonlinear Schrödinger system with quadratic interaction – Masayuki Hayashi (Università di Pisa)
Solitary waves (solitons, standing waves, traveling waves) are known to play a fundamental role in the analysis of nonlinear dispersive…