At primary school the first author was taught to estimate the area of a (convex) body by drawing it on a piece of graph paper, and then counting the number of (unit) squares inside. There is obviously a little ambiguity in deciding how to count the squares which straddle the boundary. Whatever the protocol, if the boundary is more-or-less smooth then the number of squares in question is proport...

This paper develops a general theory of uniform probability for compact metric spaces. Special cases of uniform probability include Lebesgue measure, the volume element on a Riemannian manifold, Haar measure, and various fractal measures (all suitably normalized). This paper first appeared fall of 1990 in the Journal of Theoretical Probability, vol. 3, no. 4, pp. 611—626. The key words by which...

It is interesting to see that in some wards of Littlemore Hospital, in order to promote good relations between patients and staff, some nurses are now wearing plain clothes. Your readers might be interested to learn that from 1929, when the late Dr. Elizabeth Casson started her Nursing Homes, the nursing staff have not worn uniform for the same reason, and that the plan is successful and now pa...

Abslracf-For any prime-power Q, it is shown that there exist q-ary convolutional codes with the equidistance property that every code word is at the same distance from all code words disagreeing in the information digits to be decoded. These codes are called “uniform codes” and it is shown that they can be encoded in a very simple manner. The block codes most similar to uniform codes are the ma...

We study uniform spanning forest measures on innnite graphs, which are weak limits of uniform spanning tree measures from nite subgraphs. These limits can be taken with free (FSF) or wired (WSF) boundary conditions. Pemantle (1991) proved that the free and wired spanning forests coincide in Z d and that they give a single tree ii d 6 4. In the present work, we extend Pemantle's alternative to g...

We consider turn-based game arenas for which we explore a notion of uniform strategies, which are strategies submitted to uniformity constraints. Such constraints aim at capturing properties of strategies that are not μ-calculus definable as they involve bundles of plays. Typical examples are knowledge-based strategies in imperfect-information games, and the so-called “uniform strategies” for t...

In this paper, we study properties of exp-uniform distribution and its applications. We provide closed forms for the density function and moments of order statistics and we also discuss estimation of the parameters via the maximum likelihood method. We will present certain characterizations of exp-uniform distribution. The applications of this distribution are illustrated by fitting it to three...