A technique for registering and relating events that cause an observable definable system state is proposed. Discrete of system-state transfer are expressed by event tracking clustering in the form contiguous quanta data. This approach capable describing typical processes industrial systems a chain codes contain input/output parameters. The constituent nodes Markovian Processes series akin to g...

We study the spectrum of kinetic Brownian motion in space d×d Hermitian matrices, d≥2. show that eigenvalues stay distinct for all times, and process Λ is a diffusion (i.e. pair (Λ,Λ˙) its derivative Markovian) if only d=2. In large scale time limit, we converges to usual (Markovian) Dyson under suitable normalisation, regardless dimension.

We study the McKean–Vlasov optimal control problem with common noise which allow law of process to appear in state dynamics under various formulations: strong and weak ones, Markovian or non-Markovian. By interpreting controls as probability measures on an appropriate canonical space two filtrations, we then develop classical measurable selection, conditioning concatenation arguments this new c...

The report offers an overview of some stochastic simulation and bisimulation relations based on continuous-time Markov chains and on stochastic (possibly Markovian) process algebras.

In this paper we analyse the discrete maximum principle (DMP) for a stationary diffusion-reaction problem solved by means of prismatic finite elements. We derive geometric conditions on the shape parameters of the prismatic partitions which guarantee validity of the DMP. The presented numerical tests show the sharpness of the obtained conditions.

Recently there has been an outburst of interest in extending topographic maps of vectorial data to more general data structures, such as sequences or trees. However, there is no general consensus as to how best to process sequences using topographic maps, and this topic remains an active focus of neurocomputational research. The representational capabilities and internal representations of the ...