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…
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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…
Thermodynamic formalism in dynamical systems – Paulo Varandas (Universidade Federal da Bahia)
The modern theory of Dynamical Systems aims to describe the asymptotic behavior and complexity of maps and flows, with the intervention…