We study the long time asymptotics of probability density functions (pdfs) of Lévy flights in confining potentials that originate from inhomogeneities of the environment in which the flights take place. To this end we employ two model patterns of dynamical behavior: Langevin-driven and...

Bidirectional valuation models are based on numerical methods to obtain kernels of parabolic equations. Here we address the problem of robustness of kernel calculations vis a vis floating point errors from a theoretical standpoint. We are interested in kernels of one-dimensional diffusion...

The aim of the present work is to investigate the relative contribution of ordered and stochastic components in natural written texts and examine the influence of text category and language on these. To this end, a binary representation of written texts and the generated symbolic sequences are...

The spreading of damage in the Ising ferromagnet in two-dimensional confined geometries of size L×M(L⪡M) close to the critical temperature is studied by means of computer simulations. Imposing both, periodic and open boundary conditions along the M-direction, the influence of the interfaces...