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Ornstein—Zernike theory for the near-critical planar random cluster model

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...

La teoria di De Giorgi–Nash–Moser per le equazioni cinetiche con diffusione non locale

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...

Wave function renormalization in particle-field models

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...

Central limit theorems for sequential systems

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 ...

High Order Structure-Preserving Semi-Implicit Schemes for Hyperbolic Equations

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...

High Order Structure-Preserving Semi-Implicit Schemes for Hyperbolic Equations

Programma: 9:20-9:50 Davide Torlo: Stability of implicit and IMEX ADER and DeC schemes9:50-10:20 Elena Bernardelli: A novel fully compatible and asymptotic preserving semi-implicit scheme on staggered...

High Order Structure-Preserving Semi-Implicit Schemes for Hyperbolic Equations

Programma: 14:00-14:30 Opening14:30-15:20 Michael Dumbser: TBACoffee Break16:00-16:30 Silvia Preda: SCOUT: Semi-Lagrangian COnservative and Unconditionally sTable schemes for nonlinear advection-diffu...

Cohesive fracture models: Variational approximation via phase-field functionals, and softening law reconstruction

Variational theories for cohesive fracture models hinge on free discontinuity energies having surface densities that are bounded and concave functions of the jump amplitude. Their phase-field app...

Quantitative Hydrodynamics for a generalized contact model

We use the formalism of Quantitative Hydrodynamics to improve the quantitative hydrodynamic limit obtained in Chariker, De Masi, Lebowitz and Presutti (2023) for an interacting particle system inspire...

Quantitative stability of optimal transport maps

Optimal transport consists in sending a given source probability measure ρ to a given target probability measure μ in an optimal way with respect to a certain cost. Optimal transport has been widely u...

Dalle euclidee applicazioni delle aree ai trattati d'abaco e alle soluzioni delle equazioni di terzo grado e quarto grado.

Le tappe principali del processo di evoluzione dell'algebra e dei suoi rapporti con la geometria dall'antichità al rinascimento....

Modular forms and the Picard group of the Baily-Borel compactification of orthogonal Shimura varieties

Orthogonal Shimura varieties arise from symmetric domains attached to orthogonal groups. We show that the Picard group of the Baily-Borel compactification of an orthogonal Shimura variety is isomorphi...