A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space.
A remark on a paper by Karel Prikry
A Remark on a Theorem of Losert.
A remark on a theorem of Solecki
S. Solecki proved that if is a system of closed subsets of a complete separable metric space , then each Suslin set which cannot be covered by countably many members of contains a set which cannot be covered by countably many members of . We show that the assumption of separability of cannot be removed from this theorem. On the other hand it can be removed under an extra assumption that the -ideal generated by is locally determined. Using Solecki’s arguments, our result can be used...
A remark on Edgar's extremal integral representation theorem
A remark on Slutsky's theorem
A remark on the existence of the ergodic Hilbert transform
A remark on the uniformization in metric ѕpaces
A remark on the weighted averages for superadditive processes.
A remark on weak McShane integral
We characterize the weak McShane integrability of a vector-valued function on a finite Radon measure space by means of only finite McShane partitions. We also obtain a similar characterization for the Fremlin generalized McShane integral.
A Renewal Approach to the Perron-Frobenius Theory of Non-negative Kernels on General State Spaces.
A representation theorem for
A representation theorem for compact-valued multifunctions
A representation theorem for operators on a space of interval functions.
A representation theorem for perfect partitions of -actions with finite entropy
A representation theorem for the second dual of C[0,1]
A representation theorem for time-scale functionals
A result of J. Bourgain: has the Dunford-Pettis property
A reverse maximal ergodic theorem
A Riemann approach to random variation
This essay outlines a generalized Riemann approach to the analysis of random variation and illustrates it by a construction of Brownian motion in a new and simple manner.