Phase-type distributions and perturbation model
Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation
We present models of the dynamics of phytoplankton aggregates. We start with an individual-based model in which aggregates can grow, divide, joint and move randomly. Passing to infinity with the number of individuals, we obtain a model which describes the space-size distribution of aggregates. The density distribution function satisfies a non-linear transport equation, which contains terms responsible for the growth of phytoplankton aggregates, their fragmentation, coagulation, and diffusion.
Piecewise Markov processes on a general state space
Pitman's theorem for skip-free random walks with Markovian increments.
Planar anisotropy revisited
The paper concerns estimation of anisotropy of planar fibre systems using the relation between the rose of directions and the rose of intersections. The discussion about the properties of the Steiner compact estimator is based on both theoretical and simulation results. The approach based on the distribution of the Prokhorov distance between the estimated and true rose of directions is developed. Finally the curved test systems are investigated in both Fourier and Steiner compact analysis of anisotropy....
Poisson Approximation for the Number of Large Digits of Inhomogeneous f-Expansions.
Poisson trees, succession lines and coalescing random walks
Positively and negatively excited random walks on integers, with branching processes.
Post-gelation behavior of a spatial coagulation model.
Potential scattering in stochastic mechanics
Potential spaces on fractals
We introduce potential spaces on fractal metric spaces, investigate their embedding theorems, and derive various Besov spaces. Our starting point is that there exists a local, stochastically complete heat kernel satisfying a two-sided estimate on the fractal considered.
Power spectrum of the quasiperiodic and the aperiodic group pulse process
Pravděpodobnost vymření kontinuální kultivace
Prévision de la demande de soins à partir d'un système d'information décentralisé
Pricing bonds and CDS in the model with rating migration induced by a Cox process
We investigate the properties of a rating migration process assuming that it is given by subordination of a discrete time Markov chain and a Cox process. The problem of pricing of defaultable bonds with fractional recovery of par value with rating migration and credit default swaps is considered. As an example of applications of our results, we give an explicit solution to the pricing problem in a model with short rate and intensity processes given by the solution of a two-dimensional Ornstein-Uhlenbeck...
Prime percolation.
Priority effect on pointwise availability of the system
Probabilistic analysis of the telegrapher's process with drift by means of relativistic transformations.
Probability and quanta: why back to Nelson?
We establish circumstances under which the dispersion of passive contaminants in a forced flow can be consistently interpreted as a Markovian diffusion process.
Probability estimates for symmetric simple exclusion random walks