We study in this paper nonlinear subdivision schemes in a multivariate setting allowing arbitrary dilation matrix. We investigate the convergence of such iterative process to some limit function. Our analysis is based on some conditions on the contractivity of the associated scheme for the differences. In particular, we show the regularity of the limit function, in L and Sobolev spaces.

An essential question for many theories of grammar is how the phonological properties of a complex form relate to the phonological representations of its constituent parts. A working hypothesis (with an analogue on the semantic side) is that the phonological form of a complex expression is affected not only by the phonology of its individual parts, but also by the way in which the complex form ...

In this paper, we propose to show that a particular fuzzy extension of the mathematical morphology coincides with a non-additive extension of the linear filtering based on convolution.

One of the goals of computational linguistics is to create automated systems that can learn, generate, and understand language at all levels of structure (semantics, syntax, morphology, phonology, phonetics). This is a very demanding task whose complete fulfillment lies far in the future. Human beings can learn, generate, and understand language at all levels of structure, and the study of how ...

It is argued that the process of circumscription must be reintroduced to current theories of prosodic morphology, specifically to Correspondence Theory. This notion has broader effects than the serial circumscriptive process, affecting concepts of categorisation within the grammar, as shown by discussion of the notion ‘base of reduplication’. The reduplicative processes of the Maori language ar...

The topic of this paper is the manner in which syntactic voice alternations (and syntactic configurations more generally) relate to voice morphology, and the implications of this for theories of voice and theories of morphology/syntax interactions. I argue based on the voice system of Modern Greek for three primary points: first, that treatments taking voice morphology as corresponding to a syn...

We analyze comovement among Internet and other categories of stocks during the late 1990s and 2000 in an effort to assess the sophistication of stock-market valuation. Prominent accounts of the Internet stock phenomenon suggest that the prices of these stocks were determined by simplistic thinking. In particular, investors were not sufficiently discriminating as they crudely grouped all Interne...

In saliency based pruning algorithms a pruning decision is made based on an ordering of the parameters. We will in this article focus on the fact that this ordering is invariant under certain transformations, and with that knowledge an equivalence class of algorithms is developed all yielding identical prunings. A sub-class is demonstrated to have a simple but sensible interpretation in terms o...

Changes in CA3 pyramidal cell morphology have a signi"cant e!ect on cell electrophysiology. Models of 16 pyramidal cells with uniform channel distribution were constructed from neuroanatomical data. Somatic injection of current produced distinct and di!erent "ring modes: spiking, bursting, and plateauing. Results show that the change in diameter as a function of the branch distance and path len...

We study the phenomenon that regularly spaced subsequences of the control points in subdivision may converge to scalar multiples of the same limit function, even though subdivision itself is divergent. We present different sets of easily checkable sufficient conditions for this phenomenon (which we term subsequence convergence) to occur, study the basic properties of subsequence convergence, sh...