Top-level heading

Recent advances for the near field photometric stereo problem

Shape from Shading and Photometric Stereo are two fundamental problems in Computer Vision aimed at reconstructing surface depth given either a single image taken under a known light source or multiple...

Analytical and numerical approaches to study free energy minima of associative recurrent neural networks

Since the seminal works by Hebb and Pavlov (in neurophysiology) and by McCulloch, Pitts and Rosenblatt (in the electronic counterpart), the principles behind brain's information processing have inspir...

Random walk on sparse random directed graphs

random walk on a finite graph exhibits cutoff if its distance from stationarity remains close to the initial value for a certain number of iterations and then abruptly drops to near zero on a much sho...

Controlled Vlasov-type dynamics

The aim of the talk is to connect the optimal control of Vlasov-type PDEs with large systems of controlled interacting particles/agents. The main difference towards the classical mean-field theory, wh...

Random dynamical systems: contraction and recurrence properties

ABSTRAC Consider a proper metric space X and a sequence (Fn) of i.i.d. random continuous mappings from X to X. It induces the stochastic dynamical system (SDS) Xn = Fn ∘ ∘ ∘ F1(x) starting at x ∈ X. W...

Nanoparticles under the Mathematical Microscope

Abstract: Several nanoparticles self-assemble from multiple copies of a limited number of building blocks, viruses being the archetypal example in biology. A majority of viruses have a highly ordered ...

The survival probability of a critical multi-type branching process in i.i.d. random environment

We consider Galton Watson branching processes of unique type and multi-type in fixed and in random environment. The main target is to observe the asymptotic behaviour of the survival probability of th...

Inequality and risk aversion in economies open to altruistic attitudes

In recent years there has been a great interest in the phenomenon of economic inequality, especially in relation to its connection with other important aspects of an advanced economy, for example atti...