In this talk we will consider a SDE characterised by different time scales, different diffusion coefficients, and a confining potential V that couples all the degrees of freedom. The rates of converge...
Positively multiplicative graphs are graphs whose adjacency matrix can be embedded in a matrix algebra admitting a distinguished basis labelled by its vertices with nonnegative structure constants. It...
I discuss how to practically put a log structure on a toroidal crossing space, and hopefully sketch applications to smoothing toric Fano varieties and log birational geometry. This is work in progress...
Abstract: Quantum computers exploit the incredible possibilities of quantum mechanics to significantly enhance computing power, compared with the computers currently available based on a conventional ...
Abstract: Una varietà complessa compatta X è iperbolica nel senso di Kobayashi se e solo se ogni applicazione olomorfa intera dal piano complesso verso X è costante.Trattasi di una proprietà squi...
Motivated by physics, in the late 1990s Sen discussed a construction of complete hyperkähler metrics in (real) dimension 4 and so-called ALF (asymptotically locally flat) asymptotics as a "superpositi...
We consider mean-field optimal control problems with selective action of the control, where the constraint is a continuity equation involving a non-local term and diffusion. First order optimality con...
The interacting Bose gas is a system in quantum statistical mechanics where a collective behavior emerges from the underlying many-body theory, posing interesting challenges to its rigorous mathematic...