Infinite Paths on a Random Environment of $${\mathbb {Z}}^2$$Z2 with Bounded and Recurrent Sums
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02333-0
Abstract: This paper considers a random structure on the lattice $${\mathbb {Z}}^2$$Z2 of the following kind. To each edge e a random variable $$X_e$$Xe is assigned, together with a random sign $$Y_e \in \{-1,+1\}$$Ye∈{-1,+1}. For an… read more here.
Keywords: partial sums; random environment; infinite paths; mathbb ... See more keywords
Optimal Mission Duration for Partially Repairable Systems Operating in a Random Environment
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DOI: 10.1007/s11009-017-9571-6
Abstract: As a system failure during a mission can result in considerable penalties, at some instances it is more cost-effective to terminate operation of a system than to attempt to complete its mission. This paper analyzes… read more here.
Keywords: mission; mission duration; random environment; optimal mission ... See more keywords
Scaling limit theorem for transient random walk in random environment
Sign Up to like & getrecommendations! Published in 2018 at "Frontiers of Mathematics in China"
DOI: 10.1007/s11464-018-0723-y
Abstract: We construct a sequence of transient random walks in random environments and prove that by proper scaling, it converges to a diffusion process with drifted Brownian potential. To this end, we prove a counterpart of… read more here.
Keywords: transient random; random environment; scaling limit; random ... See more keywords
Analysis and optimal design of systems operating in a random environment and having a rescue option
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of General Systems"
DOI: 10.1080/03081079.2018.1549040
Abstract: ABSTRACT The paper presents a model for a system exposed to a random environment characterized by the Poisson shock processes. A subset of the system components ℜM is required for a mission completion. Failures of… read more here.
Keywords: system; random environment; rescue; mission ... See more keywords
The MAP/PH/N/∞ Queueing-Inventory System With Demands From a Random Environment
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DOI: 10.1109/access.2022.3170065
Abstract: This study investigates a multi-server queueing-inventory system in a random environment. The system has an unlimited waiting space and an inventory capacity of $S$ units. The customer arrives at the system according to the Markovian… read more here.
Keywords: system; inventory; random environment; queueing inventory ... See more keywords
Mixing times for the simple exclusion process in ballistic random environment
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DOI: 10.1214/19-ejp286
Abstract: We consider the exclusion process on segments of the integers in a site- dependent random environment. We assume to be in the ballistic regime in which a single particle has positive linear speed. Our goal… read more here.
Keywords: exclusion process; exclusion; random environment;
Random walk in cooling random environment: ergodic limits and concentration inequalities
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DOI: 10.1214/19-ejp296
Abstract: In previous work by Avena and den Hollander, a model of a one-dimensional random walk in a dynamic random environment was proposed where the random environment is resampled from a given law along a growing… read more here.
Keywords: random environment; random walk; environment ergodic; random ... See more keywords
Random walks in a moderately sparse random environment.
Sign Up to like & getrecommendations! Published in 2019 at "Electronic journal of probability"
DOI: 10.1214/19-ejp330
Abstract: A random walk in a sparse random environment is a model introduced by Matzavinos et al. [Electron. J. Probab. 21, paper no. 72: 2016] as a generalization of both a simple symmetric random walk and… read more here.
Keywords: environment random; sparse random; random environment; random walk ... See more keywords