ERC Advanced Grant · 2023
Beyond Renormalization in Parabolic Dynamics
The ergodic theory of parabolic dynamical systems is an area in smooth ergodic theory that is relevant for its connections to mathematical physics and to analytic number theory. A dynamical system is parabolic whenever its orbits diverge at an intermediate (often polynomial) rate between bounded/logarithmic (called elliptic) and exponential (called hyperbolic) rate. The proposal tackles several outstanding questions in the ergodic theory of parabolic flows with emphasis on quantitative aspects. The main goal is to go beyond renormalization techniques that have proved extremely powerful in several classes of examples: Interval Exchange Transformations and Flows on surfaces, horocycle flows,…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.