The randomly fluctuating hyperrectangles are spatially monotone

2015/03/26 by Tzioufas, Achillefs
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1503.07922

Abstract

We show that the probability of a site being occupied at any instance of time in the one-dimensional randomly fluctuating hyperrectangles processes decreases monotonically with respect to its distance from the origin.

Related

• Random walks in space-time random media in all spatial dimensions: the full subcritical fluctuation regime
• Dynamic scaling in the spatial distribution of persistent sites
• On strongly rigid hyperfluctuating random measures
• Scaling limit of an equilibrium surface under the Random Average Process
• Mimicking spatial localization in dynamical random environment