scholarly journals Asymptotic behavior of branching diffusion processes in periodic media

2020 ◽  
Vol 25 (0) ◽  
Author(s):  
Pratima Hebbar ◽  
Leonid Koralov ◽  
James Nolen
Keyword(s):  
Asymptotic Behavior ◽  
Diffusion Processes ◽  
Periodic Media ◽  
Branching Diffusion

Residence times of branching diffusion processes

2016 ◽  
Vol 94 (1) ◽  
Author(s):  
E. Dumonteil ◽  
A. Mazzolo
Keyword(s):  
Diffusion Processes ◽  
Residence Times ◽  
Branching Diffusion

scholarly journals Diffractive patterns in deep-inelastic scattering and parton genealogy

2018 ◽  
Vol 192 ◽  
pp. 00008
Author(s):  
Stéphane Munier
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Diffusion Processes ◽  
Recent Observation ◽  
Genealogical Trees ◽  
Branching Diffusion

We report on our recent observation that the occurrence of diffractive patterns in the scattering of electrons off nuclei obeys the same law as the fluctuations of the height of genealogical trees in branching diffusion processes.

Exponential trends of first-passage-time densities for a class of diffusion processes with steady-state distribution

1985 ◽  
Vol 22 (3) ◽  
pp. 611-618 ◽  
Author(s):  
A. G. Nobile ◽  
L. M. Ricciardi ◽  
L. Sacerdote
Keyword(s):  
Asymptotic Behavior ◽  
Steady State ◽  
Diffusion Processes ◽  
First Passage Time ◽  
Passage Time ◽  
Steady State Distribution ◽  
State Distribution ◽  
First Passage ◽  
The Mean

The asymptotic behavior of the first-passage-time p.d.f. through a constant boundary is studied when the boundary approaches the endpoints of the diffusion interval. We show that for a class of diffusion processes possessing a steady-state distribution this p.d.f. is approximately exponential, the mean being the average first-passage time to the boundary. The proof is based on suitable recursive expressions for the moments of the first-passage time.

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