We study the long-time behavior of variants of the telegraph process with position-dependent jump rates, which result in a monotone gradient-like drift towards the origin. We compute their invariant laws and obtain, via ...

We investigate the motion of an inert (massive) particle being impinged from below by a particle performing (reflected) Brownian motion. The velocity of the inert particle increases in proportion to the local time of ...

Traditional stochastic programs assume that the probability distribution of uncertainty is known. However, in practice, the probability distribution oftentimes is not known or cannot be accurately approximated. One way to ...

Phylogeography of Setacea puiggariana, which is widely distributed in southern and south-eastern Brazil, with few records in South America and Africa, was investigated based on mitochondrial genetic markers: the cox2-3 ...

We investigate the problem of the rate of convergence to equilibrium for ergodic stochastic differential equations driven by fractional Brownian motion with Hurst parameterH >1/2 and multiplicative noise component σ. ...

We construct weak global in time solutions to the classical Keller-Segel system describing cell movement by chemotaxis in two dimensions when the total mass is below the established critical value. Our construction takes ...