scholarly journals Vanishing diffusion limits for planar fronts in bistable models with saturation

2020 ◽  
pp. 1
Author(s):  
Maurizio Garrione
Keyword(s):  
Diffusion Limits

Kinetic Models for Chemotaxis and their Drift-Diffusion Limits

2004 ◽  
pp. 123-141 ◽  
Author(s):  
Fabio A. C. C. Chalub ◽  
Peter A. Markowich ◽  
Benoît Perthame ◽  
Christian Schmeiser
Keyword(s):  
Kinetic Models ◽  
Drift Diffusion ◽  
Diffusion Limits

Diffusion Limits of Kinetic Models

2003 ◽  
pp. 3-17 ◽  
Author(s):  
N. Ben Abdallah ◽  
P. Degond ◽  
F. Deluzet ◽  
V. Latocha ◽  
R. Talaalout ◽  
...  
Keyword(s):  
Kinetic Models ◽  
Diffusion Limits

scholarly journals On the genealogy of branching populations and their diffusion limits

2018 ◽  
Vol 50 (A) ◽  
pp. 173-176
Author(s):  
Olav Kallenberg
Keyword(s):  
Branching Process ◽  
Diffusion Limit ◽  
The Past ◽  
Diffusion Limits

Abstract We consider the evolution of the ancestral structure of a classical branching process in space and its diffusion limit. We also indicate how the conditional structure of the past can be described asymptotically in terms of suitable uniform Brownian trees.

Diffusion limits of critical branching processes conditioned on extinction in the near future

1976 ◽  
Vol 13 (02) ◽  
pp. 247-254
Author(s):  
Warren W. Esty
Keyword(s):  
Branching Processes ◽  
Limit Laws ◽  
Age Dependent ◽  
Diffusion Limits ◽  
Near Future

Limit laws and limiting diffusions are obtained for critical branching processes, either Galton-Watson or age-dependent, conditioned on extinction in the interval (T, cT], 1 < c, as T→∞, and also as T→∞ and c ↓ 1.

scholarly journals Heavy-Traffic Limits for a Many-Server Queueing Network with Switchover

2013 ◽  
Vol 45 (3) ◽  
pp. 645-672 ◽  
Author(s):  
Guodong Pang ◽  
David D. Yao
Keyword(s):  
Load Balancing ◽  
Differential Equations ◽  
Piecewise Linear ◽  
Heavy Traffic ◽  
Queueing Network ◽  
State Dependent ◽  
Diffusion Limits ◽  
Qed Regime ◽  
The Many ◽  
And Diffusion

We study a multiclass Markovian queueing network with switchover across a set of many-server stations. New arrivals to each station follow a nonstationary Poisson process. Each job waiting in queue may, after some exponentially distributed patience time, switch over to another station or leave the network following a probabilistic and state-dependent mechanism. We analyze the performance of such networks under the many-server heavy-traffic limiting regimes, including the critically loaded quality-and-efficiency-driven (QED) regime, and the overloaded efficiency-driven (ED) regime. We also study the limits corresponding to mixing the underloaded quality-driven (QD) regime with the QED and ED regimes. We establish fluid and diffusion limits of the queue-length processes in all regimes. The fluid limits are characterized by ordinary differential equations. The diffusion limits are characterized by stochastic differential equations, with a piecewise-linear drift term and a constant (QED) or time-varying (ED) covariance matrix. We investigate the load balancing effect of switchover in the mixed regimes, demonstrating the migration of workload from overloaded stations to underloaded stations and quantifying the load balancing impact of switchover probabilities.

scholarly journals A queueing model with independent arrivals, and its fluid and diffusion limits

2014 ◽  
Vol 80 (1-2) ◽  
pp. 71-103 ◽  
Author(s):  
Harsha Honnappa ◽  
Rahul Jain ◽  
Amy R. Ward
Keyword(s):  
Queueing Model ◽  
Diffusion Limits ◽  
And Diffusion

Diffusion Limits of an in Vitro Thick Prevascularized Tissue

2005 ◽  
Vol 11 (1-2) ◽  
pp. 257-266 ◽  
Author(s):  
Craig K. Griffith ◽  
Cheryl Miller ◽  
Richard C.A. Sainson ◽  
Jay W. Calvert ◽  
Noo Li Jeon ◽  
...  
Keyword(s):  
Diffusion Limits ◽  
Prevascularized Tissue
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