In this talk I will present a family of one dimensional systems with random additive noise such that, as the noise size increases, the Lyapunov exponent of the stationary measure transitions from positive to negative. This phenomena is known in…
Eventi
Chaotic motion in the breathing circle billiard – Stefano Marò (Università di Pisa)
We consider the free motion of a point particle inside a circular billiard with periodically moving boundary, with the assumption that the collisions of the particle with the boundary are elastic so that the energy of the particle is not preserved.…
Birational geometry of the intermediate Jacobian fibration – Giulia Saccà (Columbia University)
I will start by presenting some applications of the minimal model program to the construction of symplectic compactifications of certain Lagrangian fibrations (integrable systems) of geometric origin. One such case is that of the intermediate…
On a quadratic polynomial attached to simple Lie algebras – Paolo Papi (Sapienza Università di Roma)
We will introduce a polynomial $p_{\mathfrak{g}}(k)$ attached to a simple Lie algebra $\mathfrak{g}$. It appears in several different contexts: the minimal quantization of the adjoint representation of Drinfeld’s Yangian $\mathsf{Y}(\mathfrak{g})$;…
Quando la matematica è un’opinone – dalle equazioni ai modelli di profitto – Valentina Coco (Senior Controller presso Sulzer Chemtech AG- Zurich, fondatrice di Coco Consulting and Coaching)
Valentina Coco ha iniziato la sua carriera nell’analisi dei dati, per la multinazionale Procter and Gamble. Ha sempre amato i…
Averaging principle and random growth – Ruojun Huang (Scuola Normale Superiore)
Motivated by questions in reinforced random walks and the asymptotic shape of their range, we study a simplified model of random growth in the continuum. In this model, random sets grow by increment of small bumps at the boundary, driven by a…
A probabilistic approach to convex entropy decay for Markov chains – Giovanni Conforti (École Polytechnique)
A powerful technique to quantify the trend to equilibrium and the best constants in the associated functional inequalities for diffusions on Riemannian manifolds consists in establishing convexity estimates for the relative entropy via the so called…
Elliptic quintics on cubic fourfolds, O’Grady 10 and Lagrangian fibrations – Laura Pertusi (Università di Milano Statale)
In this talk we study certain moduli spaces of semistable objects in the Kuznetsov component of a cubic fourfold. We show that they admit a symplectic resolution $\tilde M$ which is a smooth projective hyperkaehler manifold deformation equivalent to…
Aging in the Edwards-Wilkinson and KPZ universality classes – Tal Orenshtein (Berlin)
Aging is an asymptotic property of non-equilibrium dynamical systems that captures non-trivial relaxation time temporal change; a canonical formulation is expressed in terms of the correlations of the system at two large times with a fixed relation.…
Liouville type theorems and local behaviour of solutions to degenerate or singular problems – Susanna Terracini (Università di Torino)
We consider an equation in divergence form with a singular-degenerate weight \[ -\mathrm{div}(y^a A(x,y)\ abla u)=y^a f(x,y,u)\; \quad\textrm{or}\; \textrm{div}(y^aF(x,y,u))\;, \] We first study the regularity of the nodal sets of solutions in the…