scholarly journals Asymptotic Behaviour for Interacting Diffusion Processes with Space-Time Random Birth

Bernoulli ◽  
2000 ◽  
Vol 6 (1) ◽  
pp. 91 ◽  
Author(s):  
Begoña Fernández ◽  
Sylvie Méléard ◽  
Begona Fernandez ◽  
Sylvie Meleard
Keyword(s):  
Asymptotic Behaviour ◽  
Diffusion Processes ◽  
Space Time ◽  
Interacting Diffusion

Asymptotic behaviour near past null infinity for scattering problems

1977 ◽  
Vol 55 (10) ◽  
pp. 855-860 ◽  
Author(s):  
Martin Walker
Keyword(s):  
Asymptotic Behaviour ◽  
Impact Parameter ◽  
Approximation Scheme ◽  
Flat Space ◽  
Difficult Problem ◽  
Space Time ◽  
The Other ◽  
Null Infinity ◽  
Scattering Problems ◽  
Gravitational Systems

The following problem is treated: two particles move toward each other from infinity with equal but opposite velocities and finite impact parameter. Each particle is deflected by the field of the other. The particles recede, finally, back out to infinity. Electromagnetic and gravitational interactions between the particles are considered. It is shown, in both cases, that the use of retarded interactions, in an approximation scheme which begins with no interaction in flat space-time, guarantees the absence of incoming radiation. This result may be of relevance to the much more difficult problem of the description of bounded, isolated, gravitational systems.

scholarly journals BRANS–DICKE COSMOLOGY IN AN ANISOTROPIC MODEL WHEN VELOCITY OF LIGHT VARIES

2002 ◽  
Vol 11 (06) ◽  
pp. 921-932 ◽  
Author(s):  
SUBENOY CHAKRABORTY ◽  
NARAYAN CHANDRA CHAKRABORTY ◽  
UJJAL DEBNATH
Keyword(s):  
Scalar Field ◽  
Asymptotic Behaviour ◽  
Space Time ◽  
Anisotropic Model ◽  
Time Model ◽  
Velocity Of Light ◽  
Space Time Model ◽  
Flatness Problem

In this paper, we have studied Brans–Dicke (BD) Cosmology in an anisotropic Kantowski–Sachs space–time model; considering variation of the velocity of light. We have addressed the flatness problem considering both cases namely (i) when the Brans–Dicke scalar field φ is constant (ii) when φ varies, specially for radiation dominated era perturbatively and non-perturbatively and asymptotic behaviour have been studied.

On the asymptotic behaviour of first-passage-time densities for one-dimensional diffusion processes and varying boundaries

1990 ◽  
Vol 22 (4) ◽  
pp. 883-914 ◽  
Author(s):  
V. Giorno ◽  
A. G. Nobile ◽  
L. M. Ricciardi
Keyword(s):  
Asymptotic Behaviour ◽  
Diffusion Processes ◽  
First Passage Time ◽  
Sufficient Conditions ◽  
Passage Time ◽  
Asymptotic Results ◽  
First Passage ◽  
One Dimensional ◽  
Dimensional Diffusion ◽  
Periodic Boundaries

Making use of the integral equations given in [1], [2] and [3], the asymptotic behaviour of the first-passage time (FPT) p.d.f.'s through certain time-varying boundaries, including periodic boundaries, is determined for a class of one-dimensional diffusion processes with steady-state density. Sufficient conditions are given for the cases both of single and of pairs of asymptotically constant and asymptotically periodic boundaries, under which the FPT densities asymptotically exhibit an exponential behaviour. Explicit expressions are then worked out for the processes that can be obtained from the Ornstein–Uhlenbeck process by spatial transformations. Some new asymptotic results for the FPT density of the Wiener process are finally proved, together with a few miscellaneous results.

Sign in / Sign up

Export Citation Format

Share Document