Brownian Exit Distribution of a Ball

1986 ◽  
pp. 108-116 ◽  
Author(s):  
Pei Hsu
Keyword(s):  
Exit Distribution

scholarly journals An Agent-Based Simulation of Deep Foundation Pit Emergency Evacuation Modeling in the Presence of Collapse Disaster

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 581 ◽  
Author(s):  
Weilong Yang ◽  
Yue Hu ◽  
Cong Hu ◽  
Mei Yang
Keyword(s):  
Emergency Evacuation ◽  
Influential Factors ◽  
Deep Foundation ◽  
Foundation Pit ◽  
Evacuation Modeling ◽  
Agent Based ◽  
Deep Foundation Pit ◽  
Decision Making System ◽  
Escape Process ◽  
Exit Distribution

With the gradual expansion of high buildings and underground spaces, deep foundation pits have been widely used in these engineering projects, but if they are not well-designed, safety problems occur. Proper deep foundation pit design requires proper exit distribution. However, calculating an adequate number of exit distributions for evaluation is difficult due to the numerous influential factors existing in the deep foundation pit environment. To this end, this paper presents a prototype of a decision-making system that uses agent-based modeling to simulate deep foundation pit evacuation in the presence of collapse disaster. By modeling the collapse occurrence process and agent escape process, an agent-based evacuation model is built, and a modified simulation-based particle swarm optimization algorithm is used to solve the optimization problem of exit distribution. Extensive experiments are conducted to verify the system, and the results show that the system provides a feasible framework for deep foundation pit evacuation.

scholarly journals The exit distribution for iterated Brownian motion in cones

2006 ◽  
Vol 116 (1) ◽  
pp. 36-69 ◽  
Author(s):  
Rodrigo Bañuelos ◽  
Dante DeBlassie
Keyword(s):  
Brownian Motion ◽  
Iterated Brownian Motion ◽  
Exit Distribution

scholarly journals Tails of exit times from unstable equilibria on the line

2020 ◽  
Vol 57 (2) ◽  
pp. 477-496
Author(s):  
Yuri Bakhtin ◽  
Zsolt Pajor-Gyulai
Keyword(s):  
Vector Field ◽  
Malliavin Calculus ◽  
Elementary Proof ◽  
Exit Time ◽  
Exit Times ◽  
Smooth Vector ◽  
Small Noise ◽  
One Dimensional ◽  
Smooth Vector Field ◽  
Exit Distribution

AbstractFor a one-dimensional smooth vector field in a neighborhood of an unstable equilibrium, we consider the associated dynamics perturbed by small noise. We give a revealing elementary proof of a result proved earlier using heavy machinery from Malliavin calculus. In particular, we obtain precise vanishing noise asymptotics for the tail of the exit time and for the exit distribution conditioned on atypically long exits. We also discuss our program on rare transitions in noisy heteroclinic networks.

scholarly journals On the Exit Distribution of Partially Reflected Brownian Motion in Planar Domains

2012 ◽  
Vol 38 (2) ◽  
pp. 537-548
Author(s):  
Athanasios Batakis ◽  
Viet Hung Nguyen
Keyword(s):  
Brownian Motion ◽  
Reflected Brownian Motion ◽  
Planar Domains ◽  
Exit Distribution

The effects of different expansions of the exit distribution on the extrapolation length for linearly anisotropic scattering

Kerntechnik ◽  
2007 ◽  
Vol 72 (1-2) ◽  
pp. 77-85 ◽  
Author(s):  
S. Bulut ◽  
M. Ç. Güleçyüz ◽  
A. Kaşkaş ◽  
C. Tezcan
Keyword(s):  
Anisotropic Scattering ◽  
Exit Distribution

The Exit Distribution on the Stochastic Separatrix in Kramers' Exit Problem

2002 ◽  
Vol 62 (5) ◽  
pp. 1698-1711 ◽  
Author(s):  
A. Spivak ◽  
Z. Schuss
Keyword(s):  
Exit Problem ◽  
Exit Distribution

EXIT DISTRIBUTION LEAVING A BALL FROM THE CENTER AND BROWNIAN MOTION

2004 ◽  
Vol 25 (03) ◽  
pp. 393-400 ◽  
Author(s):  
HUIZENG ZHANG ◽  
MENGWEI JIN ◽  
JIANGANG YING
Keyword(s):  
Brownian Motion ◽  
And Brownian Motion ◽  
Exit Distribution
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