We prove the existence of solutions to a non-linear, non-local, degenerate equation which was previously derived as the formal hydrodynamic limit of an active Brownian particle system, where the particles are endowed with a position and an…
Categoria evento: Seminars
Colloquium: Dynamics of complex Hénon maps – Tien-Cuong Dinh (National University of Singapore)
Hénon maps were introduced by Michel Hénon as a simplified model of the Poincaré section of the Lorenz model. They…
The Giroux correspondence via convex surfaces – Vera Vertési (Universität Wien)
The “hard direction” of the Giroux correspondence states that any two open books representing the same contact structure are related…
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…
Pretalk: Contact structures and open books – Filippo Bianchi (Università di Pisa)
This will be a very rough introduction to contact structures and open book decompositions, with the main definitions and some…
How to make log structures – Alessio Corti (Imperial College London)
I give a canonical construction of the sheaf of log structures on a generic toroidal crossing space that makes it possible to make (singular) log structures explicitly and efficiently. I will sketch future applications to smoothing of toric Fano…
Open random dynamics and return time statistics – Jason Atnip (University of Queensland)
In this talk we discuss recent results concerning the return time statistics for deterministic and random dynamical systems. Taking a perturbative approach, we consider a decreasing sequence of holes in phase space which shrink to a point. For…
Rigidity for time-changes of unipotent flows – Mauro Artigiani (Universidad del Rosario)
Parabolic flows form an intermediate category between elliptic and hyperbolic flows. They exhibit some characteristics associated with non-chaotic systems, and some associated with highly chaotic ones. A fundamental example is the horocycle flow on…
Understanding Neural Networks with Reproducing Kernel Banach Spaces – Ernesto De Vito (UNIGE)
Characterizing the function spaces corresponding to neural networks can provide a way to understand their properties. The talk is devoted…
A raising operator formula for Macdonald polynomials – George H. Seelinger (University of Michigan)
Macdonald polynomials are a basis of symmetric functions with coefficients in $\mathbb{Q}(q,t)$ exhibiting deep connections to representation theory and algebraic geometry. In particular, specific specializations of the $q,t$ parameters recover…