The primitive equations are one of the fundamental models for geophysical flows used to describe oceanic and atmospheric dynamics. In…
Eventi
Turbulence Enhancement in Kinetic Coagulation Equations – Andrea Papini (Scuola Normale Superiore Pisa)
A Smoluchowski type model of coagulation in a turbulent fluid is given, heuristically expressed by means of a stochastic model…
Robust numerical integrators for dynamical low-rank approximation – Gianluca Ceruti (École Polytechnique Fédérale de Lausanne)
The discretization of time-dependent high-dimensional PDEs suffers from an undesired effect, the so-called curse of dimensionality: The amount of data to be stored and treated grows exponentially and exceeds standard capacity of common computational…
Central Sets and infinite monochromatic exponential patterns – Mariaclara Ragosta (Università di Pisa)
Schur’s Theorem (1916) states that for every finite coloring of $\mathbb N$ there exists a monochromatic triple $a, b, a+b$. Several decades passed before Folkman and Sanders extended this statement from two integers $a, b$ to arbitrarily long…
On reduction steps for Leopoldt’s conjecture – Fabio Ferri (Università di Exeter)
Let $p$ be a rational prime and let $L/K$ be a Galois extension of number fields with Galois group $G$. Under some hypotheses, we show that Leopoldt’s conjecture at $p$ for certain proper intermediate fields of $L/K$ implies Leopoldt’s conjecture at…
On the infinite dimension limit of invariant measures and solutions of Zeitlin’s 2D Euler equations – Milo Viviani (Centro de Giorgi)
In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V.…
Statistical and Computational Aspects of Dynamics
Further information is available on the event page on the Indico platform.…
Limit Theorems for a class of unbounded observables on the real line with an application to sampling the Lindelöf Hypothesis – Kasun Fernando (Centro De Giorgi – SNS)
We prove the Central Limit Theorem, first order Edgeworth expansion and Mixing Local Limit Theorem for the Birkhoff sums of a class of L^3 observables over Boolean-type transformations on the real line. The class of observables include the real…
A short proof of Allard’s theorem – Carlo Gasparetto (SISSA)
Allard’s theorem roughly states that a minimal surface, that is close enough to a plane, coincides with the graph of a smooth function which enjoys suitable a priori estimates. In this talk we will show how one can prove this result by exploiting…
Combinatorics of hopping particles and positivity in Markov chains – Lauren K. Williams (Harvard University, USA)
The asymmetric simple exclusion process (ASEP) is a model for translation in protein synthesis and traffic flow; it can be…