In the common practice of the method-of-lines (MOL) approach for discretizing a time-dependent partial differential equation (PDE), one first applies spatial discretization to convert the PDE into an ...
We present a new Mountain Pass Theorem for a class of functionals that depends on two arguments which only partially satisfies the Palais-Smale condition. This abstract functional setup will be a...
We will introduce and discuss a notion of s-fractional mass for 1-currents, generalizing the s-fractional perimeter in the plane to higher codimension singularities. We will present basic compactn...
In this talk I will report on a joint work in progress with E. Fatighenti, in which we study some special vector bundles on the Fano variety of lines of a cubic fourfold. We will see that these bundle...
Traffic flow and pedestrian crowds are complex phenomena characterised by different collective dynamics. Inspired by recent work in control engineering by Knorn et al. and Matei et al., we explore the...
Like many discrete statistical mechanics models, stochastic PDEs can exhibit a “critical dimension” beyond which their large-scale behaviour is expected to be trivial (i.e. governed by Gaussian fluctu...
Abstract: Quantum systems with short-range interactions at sufficiently low energy are characterized by a wavelength so large that the fine details of the interactions become irrelevant and most ...
Cluster algebras are commutative algebras with a special combinatorial structure. A cluster algebra is a subalgebra of a field of rational functions in several variables that is generated by a disting...
We model the uncertainties in (random) coefficient functions of an elliptic partial differential equation by expanding these coefficients as function series with scalar random coefficients. This gives...
