We consider a symmetrization procedure for convex function in R^n that preserves mixed volumes of the sublevel sets, and for which a Pólya-Szegő type inequality holds. We will obtain a stability impro...
The study of singularities of minimal surfaces is a fundamental problem in Geometric Analysis, which, for decades, has been fueling some beautiful research in Differential Geometry, Geometric Measure ...
This seminar is part of the activities of the Excellence Department Project CUP B83C23001390001 and it is funded by the European Union – Next Generation EU.We consider solutions to some semilinear ell...
The cutoff phenomenon is a now classical topic in probability, that consists in proving an abrupt convergence to equilibrium for a sequence of Markovian dynamics. Classical examples include card shuff...
This workshop gathers together prominent scientists and young researchers, promoting the exchange of ideas around the relations between small and large scales, focusing on interacting particle systems...
The focus of the workshop will be on the topics of interest for the research unit in mathematical quantum physics at Sapienza Università di Roma, which include topological matter, quantum transport, a...
We consider a Lane-Emden problem in a smooth bounded domain. When the exponent p of the nonlinearity is large, the existence and multiplicity of solutions strongly depend on the geometric properties o...
Abstract: For a stochastically stationary Hamiltonian ODE in a Euclidean space, the set of periodic orbits yields a translation invariant random process. In this talk I will discuss an ergodic theorem...
