Abstract: We establish new lower bounds for the convergence radius of the Mayer series and the Virial series of a continuous particle system interacting via a stable and tempered pair potential. Our b...
Abstract: We study a system in which the hamiltonian has exactly the form of the Sherrington-Kirkpatrick spin glass system but each spin takes value in the set {0,1}{0,1} instead of the set {−1,1}{−1,...
Abstract: Topological insulators are materials where the bulk propagation of waves is twisted in a particular, topological way. At an interface between systems with different topologies, edge states w...
Abstract: The time operator is informally defined as a symmetric operator satisfying CCR with a given self-adjoint operator H, i.e. [H,T]=i[H,T]=i. However it is nontrivial to construct T associated w...
Abstract: We consider a Hamiltonian lattice field model perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the soluti...
Abstract: Random graphs are useful models for complex networks appearing in empirical studies of networks. Several structural properties have been identified in this context, including scale-free and ...
Abstract: We show that wave operators for three dimensional Schroedinger operators with point interactions are bounded in LpLp for 1<p<31<p<3 but not for p=1p=1 or p≥3p≥3. This is a joint ...
Abstract: The "Weyl fermion" was discovered in a topological semimetal in 2015. Its mathematical characterisation turns out to involve deep and subtle results in differential topology. I will outline ...
Abstract: Band structure theory and the BCS theory of superconductivity are two cornerstones of modern condensed matter physics. They have been used to explain many properties of crystalline solids an...
Abstract: Riferirò su una ricerca che sto svolgendo con Silvia Caprino (Roma2) e Guido Cavallaro (questo dipartimento). Studiamo un modello matematico di protezione di una navicella spaziale da un ven...
