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...
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...
This paper aims to apply simple actuarial methods to build an insurance plan protecting against an epidemic risk in a population. The studied model is an extended SIR epidemic in which the removal and...
In the introduction some relatively recent results on the maximum correlation coefficient will be presented in two setups. The first deals with partial sums of independent identically distributed rand...
Replacing the integer parameter in the family of chi square distributions by a continuous parameter leads to the family of the gamma distributions. A similar phenomena occurs with the non central chi ...
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...
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...
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...
We will describe a recent approach to treating the validity of comparison principles for weak solutions of scalar second order PDE of the form F(x,u(x),Hu(x)) = 0 under non standard structural conditi...
Abstract: The Global Positioning System, shortened in the acronym GPS, is a quite familiar tool, more or less secretly working into our car navigators and smartphones/tablets, and continuously u...
CANCELLATOAbstract: Herpes zoster (HZ) is a painful disease caused by the reactivation of the varicella zoster virus(VZV) as cell mediated immunity (CMI) goes down (e.g. with ageing). Hope-Simps...
