BACKGROUND In research clinic settings, overweight adults undertaking HIIT (high intensity interval training) improve their fitness as effectively as those undertaking conventional walking programs but can do so within a shorter time spent exercising. We undertook a randomized controlled feasibility (pilot) study aimed at extending HIIT into a real world setting by recruiting overweight/obese, ...

First exit times from regions and their dependence on variations of boundaries are discussed for diffusion processes. The paper presents an estimate of L1-distance between exit times from two regions via expectations of exit times. Abbreviated title: On L1-distance between first exit times It is known that first exit times from a region for smooth solutions of ordinary equations does not depend...

In this paper, we study the inverse problem of reconstructing the spatially dependent transition rate F (x) of a one-dimensional Broadwell process from exit time distributions. In such a process, an advecting particle is assumed to undergo transitions between states with constant positive (+v) and negative (−v) velocities. The goal is to reconstruct the transition rate function F (x) from the e...