CRM: Centro De Giorgi
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Statistical and Computational Aspects of Dynamics

Computer aided proofs for the statistical properties of random and deterministic dynamical systems

speaker: Stefano Galatolo (Università di Pisa)

abstract: We will describe a set of computational tools and theoretical results developed in the last years, allowing the computation of invariant measures up to small certified errors, Lyapunov exponents and related indicators in deterministic and random systems. These tools have been recently used to establish the existence of Noise Induced Order in the model where it was first discovered numerically by Matsumoto and Tsuda in 1983 and other related questions on dynamical systems perturbed by additive noise. The software was also recently released in the Julia computational framework (in the package JuliaDynamics) and could be quite easily adapted or extended to investigate many other systems.

Tue 13 Dec, 15:45 - 16:45, Aula Dini
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