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The behavior of the discrete spectrum of the Schr"odinger operator −\D−V, in quite a general setting, up to a large extent is determined by the behavior of the corresponding heat kernel P(t;x,y) as t→0 and t→∞. If this behavior is powe ...
This paper describes a two-sweep control design method to stabilize the acrobot, an input-affine under-actuated system, at the upper equilibrium point. In the forward sweep, the system is successively reduced, one dimension at a time, until a two-dimensiona ...
Let A be a C*-algebra, and let X be a Banach A-bimodule. Johnson [B. E. Johnson, 'Local derivations on C*-algebras are derivations', Trans. Amer Math. Soc. 353 (2000), 313-325] showed that local derivations from A into X are derivations. We extend this con ...
The Lq,p-cohomology of a Riemannian manifold (M, g) is defined to be the quotient of closed Lp-forms, modulo the exact forms which are derivatives of Lq-forms, where the measure considered comes from the Riemannian structure. The Lq,p-cohomology of a simpl ...
A. Baker has constructed certain sequences of cohomology theories which interpolate between the Johnson-Wilson and the Morava K-theories. We realize the representing sequences of spectra as sequences of MU-algebras. Starting with the fact that the spectra ...
Praxic functions are frequently altered following brain lesion, giving rise to apraxia - a complex pattern of impairments that is difficult to assess or interpret. In this chapter, we review the current taxonomies of apraxia and related cognitive and neuro ...
We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold (M,g) and the Lq,p-cohomology of that manifold. The Lq,p-cohomology of (M,g) is defined to be the quotient of the space of closed differential ...
This paper outlines the conclusion from an analysis of 18 large cave systems around the world, comprising more than 1500 km of conduits. The 3D geometry of complex cave systems have been analysed in relation to their geological context as well as their hyd ...
The characterization of signals and images in manifolds often lead to efficient dimensionality reduction algorithms based on manifold distance computation for analysis or classification tasks. We propose in this paper a method for the discretization of sig ...
