The paper studies the Hausdorff dimension of harmonic measures on various boundaries a relatively hyperbolic group which are associated with random walks driven by probability measure finite first moment. With respect to Floyd metric and shortcut metric, we prove that equals ratio entropy drift walk. If is infinitely-ended, same formula obtained for end boundary endowed visual metric. In additi...

A high dimensional dynamical system is often studied by experimentalists through the measurement of a relatively low number of different quantities, called an observation. Following this idea and in the continuity of Boshernitzan’s work, for a measure preserving system, we study Poincaré recurrence for the observation. The link between the return time for the observation and the Hausdorff dimen...

The study aim was to gain a better understanding of the characteristics of informal caregivers who provide transportation assistance and to explore the types and frequency of this assistance. A telephone survey was administered to a representative sample of 268 informal caregivers (age 45-80) who provide transportation assistance to older adults (age 70 and older) in Michigan. Responses were an...

Ulam’s method is a rigorous numerical scheme for approximating invariant densities of dynamical systems. The phase space is partitioned into connected sets and an inter-set transition matrix is computed from the dynamics; an approximate invariant density is read off as the leading left eigenvector of this matrix. When a hole in phase space is introduced, one instead searches for conditional inv...