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 ...

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...

Using a microscopic model of interacting polar biofilaments and motor proteins, we characterize the phase diagram of both homogeneous and inhomogeneous states in terms of experimental parameters. The polarity of motor clusters is key in determining the organization of the filaments in homogeneous isotropic, polarized, and nematic states, while motor-induced bundling yields spatially inhomogeneo...

introduction polymer gel dosimeters offer a practical solution to 3d dose verification for conventional radiotherapy as well as intensity-modulated and stereotactic radiotherapy. in this study, egsnrc calculated and pagat polymer gel dosimeter measured dose profiles from single shot irradiation with 18 mm collimator of gamma knife in homogeneous and inhomogeneous phantoms were compared with eac...

Calculations of radiant heating by inhomogeneous hot gases require knowledge of spectral transmittances of inhomogeneous optical paths. Determination of these transmittances is a difficult problem that can be attacked by means of the Curtis-Godson approximation, which replaces each inhomogeneous optical path with a hypothetical homogeneous path that has the same transmittance. The authors have ...

In this paper I study the probability distribution of the gravitational force in gravitational systems through numerical experiments. I show that Kandrup’s (1980) and Antonuccio-Delogu & Atrio-Barandela’s (1992) theories describe correctly the stochastic force probability distribution respectively in inhomogeneous and clustered systems. I find equations for the probability distribution of stoch...

A harmonic oscillator under the influence of noise is a basic model of various physical phenomena. Under Gaussian white noise the position and velocity of the oscillator are independent random variables which are distributed according to the bivariate Gaussian distribution with elliptic level lines. The distribution of phase is homogeneous. None of these properties hold in the general Lévy case...

For a large class of inhomogeneous interacting particle systems (IPS) on a lattice we develop a rigorous method for mapping them onto homogeneous IPS. Our novel approach provides a direct way of obtaining the statistical properties of such inhomogeneous systems by studying the far simpler homogeneous systems. In the cases when the latter can be solved exactly our method yields an exact solution...

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...

This paper generalizes Moody's correlated binomial default distribution for homogeneous (exchangeable) credit portfolio, which is introduced by Witt, to the case of inhomogeneous portfolios. As inhomogeneous portfolios, we consider two cases. In the first case, we treat a portfolio whose assets have uniform default correlation and non-uniform default probabilities. We obtain the default probabi...