We consider a competing spatial growth dynamics permitting that more than one cluster develop in the same environment given by a first-passage percolation model on a Voronoi tiling of the plane. We focus on the long time behavior of these competing clusters and derive some limit theorems related to the morphology of the “competition interface”. To study the structure of this interface we use th...

This note proposes a new get-rich-quick scheme that involves trading in a stock with a continuous but not constant price path. The existence of such a scheme, whose practical value is tempered by its use of the Axiom of Choice, shows that imposing regularity conditions (such as measurability) is essential even in the foundations of game-theoretic probability. . . . these results do not give a p...

Gibbs random eld (GRF) models and co-occurrence statistics are typically considered as separate but useful tools for texture discrimination. In this paper we show an explicit relationship between co-occurrences and a large class of GRF's. This result comes from a new framework based on a set-theoretic concept called the \aura set" and on measures of this set, \aura measures". This framework is ...

bstract. This paper presents an efficient technique for linking dge points in order to generate a closed-contour representation. It s based on the consecutive use of global and local schemes. In oth cases it is assumed that the original intensity image, as well as ts corresponding edge map, are given as inputs to the algorithm. he global scheme computes an initial representation by connecting d...

We introduce finite-state registered automata (FSRAs), a new computational device within the framework of finite-state technology, specifically tailored for implementing non-concatenative morphological processes. This model extends and augments existing finite-state techniques, which are presently not optimized for describing this kind of phenomena. We first define the model and discuss its mat...

In part 1 of this paper, newly identified logical errors in the derivations that yield Einstein’s Special and General Theories of Relativity are discussed. These errors are much more significant than those identified by Fock. The basic philosophy of science used as a foundation for these theories is identified. The philosophy of the privileged observer is detailed. Part 1 concludes with a brief...

How does abstract structure emerge during language learning? On some accounts, children’s early syntax emerges from direct generalizations from particular lexical items, while on others, syntactic structure is acquired independently and follows its own timetable. Progress on differentiating these views requires detailed developmental data. Using parental reports of vocabulary and grammar abilit...

This paper describes the channels known as hoa which are characteristic of atoll land rims and of some islands on ba i~ ie r eefs, where they often dissect previously more continuous reef-top sediment accumulations and conglomerate platforms. They are especially common in the central Pacific, and are particularly well developed in some atolls of the Tuamotu Archipelago and on some of the Societ...

Other authors represented in the present volume are primarily concerned with the question of how default notions in morphological structure should be expressed. e present chapter takes a somewhat different approach, attempting to characterize the notion of morphological “default” from the other direction by investigating the range of phenomena in morphology that deviate from the default and the...

While most approaches to unsupervised morphology acquisition often rely on metrics based on information theory for identifying morphemes, we describe a novel approach relying on the notion of formal analogy, that is, a relation between four forms, such as: reader is to doer as reading is to doing. Our assumption is that formal analogies identify pairs of morphologically related words, for insta...