Understanding input effects is crucial for delineating the roles of Universal Grammar and learning in grammatical development. Unlike the input effects seen in vocabulary development (Huttenlocher, Haight, Bryk, Seltzer, & Lyons, 1991; Hart & Risley, 1995), effects on grammatical development have been more difficult to identify (Newport, Gleitman, & Gleitman, 1977; Hoff-Ginsberg, 1998; Huttenlo...

We introduce the notion of an orbit series in a quandle. Using this we define four families quandles based on finiteness conditions their series. Intuitively, classes t OS and n correspond to finitary compositions trivial while connected quandles. study properties these explore relationships with several previously studied quandles: reductive, -reductive, locally -locally solvable

We investigate certain finiteness questions that arise naturally when studying approximations modulo prime powers of p-adic Galois representations coming from modular forms. We link these finiteness statements with a question by K. Buzzard concerning p-adic coefficient fields of Hecke eigenforms. Specifically, we conjecture that for fixed N , m, and prime p with p not dividing N , there is only...

Abstract. In this paper, we introduce a Z-graded variant of the periodic cyclic homology of associative algebras which generalizes the infinitesimal cohomology of affine algebras in characteristic 0 and show that it satisfies the K0nneth formula (i.e. it commutes with the formation of tensor products). We also show that the Kllnneth formula in periodic cyclic homology holds only under the prese...

The simple models for the formation of a new phase in a surface layer during ion implantation are discussed. The model of the new phase formation in the same conditions and considering the finiteness of relaxation time is suggested. The model parameters were evaluated using literature data. The stresses and strains in diffusion zone were calculated. The authors demonstrated that the concentrati...

In this article I consider the convergence of the Eilenberg– Moore spectral sequence for Morava K-theory. This spectral sequence can be constructed by applying Morava K-theory to D. L. Rector’s geometric cobar construction of the Eilenberg–Moore spectral sequence. I have shown that the Eilenberg–Moore spectral sequence for Morava Ktheory converges if the Eilenberg–Moore spectral sequence for or...

By studying the group of self homotopy equivalences of the localization (at a prime p and/or zero) of some aspherical complexes, we show that, contrary to the case when the considered space is a nilpotent complex, E # (Xp) is in general different from E # (X)p . That is the case even when X = K(G, 1) is a finite complex and/or G satisfies extra finiteness or nilpotency conditions, for instance,...

In Chapter 1 we associate with every Cartan matrix of finite type and a non-zero complex number ζ an abelian artinian category FS. We call its objects finite factorizable sheaves. They are certain infinite collections of perverse sheaves on configuration spaces, subject to a compatibility (”factorization”) and finiteness conditions. In Chapter 2 the tensor structure on FS is defined using funct...

We consider a fluid queue in discrete time with random service rate. Such a queue has been used in several recent studies on wireless networks where the packets can be arbitrarily fragmented. We provide conditions on finiteness of moments of stationary delay, its Laplace-Stieltjes transform and various approximations under heavy traffic. Results are extended to the case where the wireless link ...

In our paper [3] we considered four finiteness conditions for an orthomodular lattice (abbreviated: OML) L and conjectured their equivalence. The only question left open in that paper was whether an OML L which can be covered by finitely many blocks (maximal Boolean subalgebras) has only finitely many blocks. In this paper we give an affirmative answer to this question , in fact , we prove the ...