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Agreement in Itelmen is represented by means of both prefixes and suffixes. While the prefixes reference subjects (of both transitive and intransitive verbs), the suffixal agreement morphemes on a given verb may reference the subject, the object, or an oblique argument, or some combination of these. We propose that the proper characterization of the factors that determine which arguments control suffixal agreement involves a division of labour between morphology and a notion of discourse prominence/salience. In essence, we propose that the suffixal agreement morpheme is an object agreement marker, but the features of the subject are reflected in this position when the object lacks the relevant features (for example, we treat third person as the lack of a person feature), or is absent altogether (thus, intransitive verbs agree twice with their subjects). When a verb occurs with an oblique as well as a direct object, discourse salience will determine which of these non-subject arguments will control object agreement. In addition to providing a description of a complex range of facts from Itelmen, the paper sheds light on the nature of “multiple exponence” and the role of “competition” among affixes for a particular position in the verbal agreement system.

This paper deals with the treatment of the syntax of the verb in Maupas's Grammaire et syntaxe françoise (2nd edition, 1618); it intends to show how Maupas takes the Latin tradition and adapts it to the description of vernacular French. To examine the syntax of the verb Maupas successively adopts three points of view : disposition, word order, and usage of verbs. Thus he examines the verb, first as a part of speech, then as a constituent in the utterance, within the sentence and within the verb phrase. His Grammar therefore proposes a global treatment of the syntax of the verb., résumé : L'objet de cet article est d'examiner le traitement de la syntaxe du verbe dans la Grammaire et syntaxe françoise de Charles Maupas (2e édition, 1618), et de montrer comment Maupas recueille la tradition latine pour l'adapter à la description du vernaculaire. Maupas examine la syntaxe du verbe selon trois perspectives successives : la disposition, Y arrangement des mots et V usage des verbes ; il examine donc le verbe d'abord en tant que partie du discours, puis comme partie constituante de l'énoncé, au sein de la phrase et au sein du groupe verbal. L'ensemble de son travail propose ainsi une approche globale de la syntaxe du verbe., Fournier Nathalie. Approches de la syntaxe du verbe dans la Grammaire et syntaxe françoise de Charles Maupas (1618). In: Histoire Épistémologie Langage, tome 24, fascicule 1, 2002. Grammaire et entités lexicales. pp. 33-63.

An explicit coupling construction of random-cluster measures is presented. As one of the applications of the construction, the Potts model on amenable Cayley graphs is shown to exhibit at every temperature the mixing property known as Bernoullicity.

We show that when percolation produces infinitely many infinite clusters on a Cayley graph, one cannot distinguish the clusters from each other by any invariantly defined property. This implies that uniqueness of the infinite cluster is equivalent to non-decay of connectivity (a.k.a. long-range order). We then derive applications concerning uniqueness in Kazhdan groups and in wreath products, and inequalities for $p_u$., Comment: To appear in Ann. Probab

The notions of transitivity and full transitivity for abelian p-groups were introduced by Kaplansky in the 1950s. Important classes of transitive and fully transitive p-groups were discovered by Hill, among others. Since a 1976 paper by Corner, it has been known that the two properties are independent of one another. We examine how the formation of direct sums of p-groups affects transitivity and full transitivity. In so doing, we uncover a far-reaching class of p-groups for which transitivity and full transitivity are equivalent. This result sheds light on the relationship between the two properties for all p-groups.

We prove that in general the set of all compatible totally bounded quasi-uniformities (ordered by set-theoretic inclusion) on a topological space does not have good lattice theoretic properties. For instance, we show that even if it is a lattice it need not be modular. We also establish that for every nonzero cardinal κ there exists a topological space X such that X admits exactly κ totally bounded quasi-uniformities. Various further results concerning the number of compatible totally bounded quasi-uniformities on topological spaces are obtained.

We construct a transitive space that is the union of two subspaces homeomorphic to the (non-transitive) Kofner plane. Moreover, we show that the product of two transitive spaces need not be transitive. Finally, we observe that results of E.K. van Douwen establish that, under b = c, there exists a locally countable locally compact non-transitive zero-dimensional space. It follows that under b = c neither a locally transitive nor a compact space need be transitive.

Using Stiefel manifolds (real, complex, and symplectic) as examples, it is shown that (A) ⊊ (B) ∩ (C) ⊊ (C) in a differentiable sense, shere (A) denotes the class of all regular Riemannian k -symmetric spaces ( k ≧2), (B) the class of all pointwise Riemannian k -symmetric spaces ( k ≧2), and (C) the class of reduced Riemannian Σ-spaces.

A classfication of 2-arc-transitive circulant digraphs is given.

A connected graph G is termed Hamiltonian-t-laceable if there exists in it a Hamiltonian path between every pair of vertices u and v with the property d(u, v) = t, 1 ≤ t ≤ diam(G), where t is a positive integer. The corona product of G and H, denoted by GoH is obtained by taking one copy of G called the center graph, |V (G)| copies of H called the outer graph and taking the ith vertex of G adjacent to every vertex of the ith copy of H where 1 ≤ i ≤ |V (G)|. In this paper, we establish laceability properties in the edge tolerant corona product graph KnoPm. Publisher's Version

We prove that a pseudo-oval or pseudo-ovoid (that is not an oval or ovoid) admitting an insoluble transitive group of collineations is elementary and arises over an extension field from a conic, an elliptic quadric, or a Suzuki-Tits ovoid.