The Measurability of Hitting Times

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Effective Aid for Hitting the Bull’s Eye; Comment on “It’s About the Idea Hitting the Bull’s Eye”: How Aid Effectiveness Can Catalyse the Scale-up of Health Innovations”

This article studies how six key aid effectiveness principles for “Hitting the bull’s eye” can bring about the scale up of maternal and newborn health (MNH) interventions. These key principles are based on accepted international agreements such as the Paris Declaration on Aid Effectiveness. The results indicate that the six principles should be a guide for recipient countries to take ownership ...

Supplementary materials and proofs

2 Hitting times 3 2.1 Typical hitting times are large . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Exponential mixing on spatial graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Expected hitting times degenerate to the stationary distribution . . . . . . . . . . . . . . . . 6 2.4 The case of one dimension . . . . . . . . . . . . . . . ....

How Slow, or Fast, Are Standard Random Walks? - Analyses of Hitting and Cover Times on Tree

Random walk is a powerful tool, not only for modeling, but also for practical use such as the Internet crawlers. Standard random walks on graphs have been well studied; It is well-known that both hitting time and cover time of a standard random walk are bounded by O(n) for any graph with n vertices, besides the bound is tight for some graphs. Ikeda et al. (2003) provided “β-random walk,” which ...

Entropy Estimation and Fluctuations of Hitting and Recurrence times for Gibbsian Sources

Motivated by entropy estimation from chaotic time series, we provide a comprehensive analysis of hitting times of cylinder sets in the setting of Gibbsian sources. We prove two strong approximation results from which we easily deduce pointwise convergence to entropy, lognormal fluctuations, precise large deviation estimates and an explicit formula for the hitting-time multifractal spectrum. It ...