This work is devoted to applications of the Ehrenfest urn model to innovation and search processes. In the first part we discuss systems of two urns serving as models of innovation processes. The elementary act of innovation is considered as a transition from old (technologies, way of...

The structure of high-frequency time series of financial data taking the DAX future as an example is investigated with respect to the existence of local order on a time horizon of a few minutes. We will show that there might be special local situations where local order exists and where the...

A model of Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion, is discussed. The general dynamics outlined in Section 2, is investigated for the deterministic and stochastic...

A stochastic theory is presented for nucleation and growth of clusters in a finite system. We consider a discrete cluster distribution for which the free energy and the equilibrium probability distribution are derived. The cluster growth and shrinkage occurs by the attachment/evaporation of free...

The quantum statistics of electrons interacting with nonlinear excitations of a classical heated nonlinear lattice of atoms is studied. By using tight-binding approximation, Wigner momentum distributions and computer simulations we show the existence of quite fast and nearly loss-free motions of...

Entropy analysis and wavelet transforms are used to study the Southern Oscillation index (SOI) and multivariate ENSO index (MEI) indexes for the El Niño–Southern Oscillation. Trends to large decreasing symbolic chains responsible for La Niña and interrupted increasing chains for El Niño are...

We mapped three long texts to random walks and calculated several correlation measures as Hölder exponents, higher-order cumulants and power spectra. By means of computer experiments we have found that shuffling on/or below the sentence level generates strings showing no anomalous diffusion, no...

We consider the adiabatic equation of state for partially ionized non-ideal plasma. Plasma isentropes are calculated with the Padé technique in the chemical picture. The interplay of ionization/dissociation equilibrium and non-ideality is investigated.

By means of molecular dynamics simulations we study local energy excitations of soft molecules solved in liquids or solids. The basic configuration studied is a soft impurity imbedded into a dense system of hard molecules. In the first part we reformulate an earlier result for the 1D-case, which...

By using the available knowledge about the thermodynamic functions for the low-temperature Wigner region (lattice formulae and Gell-Mann-Brueckner formulae) as well as for the high-temperature Debye region (limiting law with quantum corrections) Pade approximations are constructed. The formulae...