First passage in infinite paraboloidal domains
نویسندگان
چکیده
منابع مشابه
First passage in infinite paraboloidal domains
We study first-passage properties for a particle that diffuses either inside or outside of generalized paraboloids, defined by y = a(x1 + · · ·+ xd−1) where p > 1, with absorbing boundaries. When the particle is inside the paraboloid, the survival probability S(t) generically decays as a stretched exponential, lnS ∼ −t(p−1)/(p+1), independent of the spatial dimension. For a particle outside the...
متن کاملFirst passages in bounded domains: when is the mean first passage time meaningful?
We study the first passage statistics to adsorbing boundaries of a Brownian motion in bounded two-dimensional domains of different shapes and configurations of the adsorbing and reflecting boundaries. From extensive numerical analysis we obtain the probability P(ω) distribution of the random variable ω=τ(1)/(τ(1)+τ(2)), which is a measure for how similar the first passage times τ(1) and τ(2) ar...
متن کاملImportance sampling algorithms for first passage time probabilities in the infinite server queue
This paper applies importance sampling simulation for estimating rare-event probabilities of the first passage time in the infinite server queue with renewal arrivals and general service time distributions. We consider importance sampling algorithms which are based on large deviations results of the infinite server queue, and we consider an algorithm based on the cross-entropy method, where we ...
متن کاملMarkov Logic in Infinite Domains
Combining first-order logic and probability has long been a goal of AI. Markov logic (Richardson & Domingos, 2006) accomplishes this by attaching weights to first-order formulas and viewing them as templates for features of Markov networks. Unfortunately, it does not have the full power of first-order logic, because it is only defined for finite domains. This paper extends Markov logic to infin...
متن کاملSTRIPS Planning in Infinite Domains
Many robotic planning applications involve continuous actions with highly non-linear constraints, which cannot be modeled using modern planners that construct a propositional representation. We introduce STRIPStream: an extension of the STRIPS language which can model these domains by supporting the specification of blackbox generators to handle complex constraints. The outputs of these generat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2010
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2010/11/p11028