Context. In the framework of the coagulation scenario, kilometre-sized planetesimals form by subsequent collisions of preplanetesimals of sizes from centimetre to hundreds of metres. Pre-planetesimals are fluffy, porous dust aggregates, which are inhomogeneous owing to their collisional history. Planetesimal growth can be prevented by catastrophic disruption in pre-planetesimal collisions above...

Various parameters of a trapped collection of cold and ultracold atoms can be determined non– destructively by measuring the phase shift of an off–resonant probe beam, caused by the state dependent index of refraction of the atoms. The dispersive light–atom interaction, however, gives rise to a differential light shift (AC Stark shift) between the atomic states which, for a nonuniform probe int...

A continuous-time random walk in the quarter plane with homogeneous transition rates is considered. Given a non-negative reward function on the state space, we are interested in the expected stationary performance. Since a direct derivation of the stationary probability distribution is not available in general, the performance is approximated by a perturbed random walk, whose transition rates o...

Observations of distant supernovae show that the light of supernovae Ia is dimmer than it would be in a decelerating universe. Several effects might be responsible for this phenomenon: cosmological constant, evolution of supernovae, selection bias, gravitational lensing, intergalactic dust, and influence of inhomogeneous distribution of matter on light propagation. All of these effects but the ...

We show the asymptotic degree distribution of the typical vertex of a sparse inhomogeneous random intersection graph.

Non-linear maps can possess various dynamical behaviors varying from stable steady states and cycles to chaotic oscillations. Most models assume that individuals within a given population are identical ignoring the fundamental role of variation. Here we develop a theory of inhomogeneous maps and apply the general approach to modeling heterogeneous populations with discrete evolutionary time ste...

The observation of distant supernovae shows that the light of supernovae Ia is dimmer than it would be in a decelerating Universe. Several effects might be responsible for this phenomenon: cosmological constant, evolution of supernovae, selection bias, gravitational lensing, intergalactic dust, and influence of inhomogeneous distribution of matter on light propagation. All these effects but the...