For a real quadratic field K and positive integer r, we prove
an asymptotic formula for the number of rational integers of bounded
absolute value that can be written as a sum of r units of the ring of...
The Aztec diamond, under the uniform measure on domino tilings, is one of the classic examples of an exactly solvable model in probability and statistical mechanics. Its rich geometric features—such a...
Through a series of examples (all involving at most $3\times 3$
matrices, as with bigger groups it is clearly impossible to do a correct
computation on the board), we illustrate some of the pathologie...
The fluctuations of Birkhoff averages for strongly chaotic systems are well known to satisfy a Central Limit Theorem. However, many systems of interest are non-autonomous, prompting the question ...
I shall give a brief introduction in LCK geometry, then focus on the existence of a minimal model for a certain subclass. If time permits, I shall discuss other bimeromorphic properties too....
We consider positive, semi-stable solutions of −Delta u = f(u) on domains of the model spaces of constant curvature. We provide geometric conditions on the domains guaranteeing the uniqueness and the ...
Operator-theoretic renormalization of particle-field models is typically done by subtracting diverging contributions to the Hamiltonian. In many interesting cases, however, an additional wave fu...
In this talk, we will discuss the classical Ornstein-Zernike theory for the random-cluster model (also known as FK percolation). In its modern form, it is a very robust theory, which most celebrated o...
Sunto: Presenterò alcuni risultati recenti riguardanti le soluzioni
deboli di un'ampia classe di equazioni integrali cinetiche, in cui il
termine di diffusione nella variabile di velocità è un operato...
Programma:
9:30-10:20 Sergio Pirozzoli: TBACoffee Break11:00-11:30 Tommaso Tenna: From the multi-species Boltzmann equation to an isentropic two-phase flow model: kinetic derivation and numerical insi...