Dynamic channel resource allocation (DCA) exploiting wideband multiuser diversity can provide data transmission with very high spectral efficiency by scheduling at each dimension (time, frequency, space) the user with the best channel conditions. The main issue arising from this allocation is fairness. Base station or users have to wait until their channel is most favorable to transmit. It is c...

Abstract. The joint spectral radius is the extension to two or more matrices of the (ordinary) spectral radius ρ(A) = max |λi(A)| = lim‖A m‖1/m. The extension allows matrix products Πm taken in all orders, so that norms and eigenvalues are difficult to estimate. We show that the limiting process does yield a continuous function of the original matrices—this is their joint spectral radius. Then ...

Let A be a unital commutative Banach algebra with maximal ideal space Max(A). We determine the rational H-type of GLn(A), the group of invertible n × n matrices with coefficients in A, in terms of the rational cohomology of Max(A). We also address an old problem of J. L. Taylor. Let Lcn(A) denote the space of “last columns” of GLn(A). We construct a natural isomorphism Ȟ(Max(A);Q) ∼= π2n−1−s(Lc...

The absorption spectra of human red and green visual pigments have peak wavelengths, lambda max, that differ by 31 nm, yet the opsins differ in only 15 amino acids. Mutagenesis studies have demonstrated that seven of the 15 amino acids determine the spectral shift. We trained neural networks to predict the lambda max of any red/green chimeric protein. Seven mutants were excluded from the origin...

The Cable equation has been one of the most fundamental equations for modeling neuronal dynamics. In this paper, we consider the numerical solution of the fractional Cable equation, which is a generalization of the classical Cable equation by taking into account the anomalous diffusion in the movement of the ions in neuronal system. A schema combining a finite difference approach in the time di...

We experimentally evaluate the performance of several Max Cut approximation algorithms. In particular, we compare results Goemans and Williamson algorithm using semidefinite programming with Trevisan’s spectral partitioning. The former has a known.878 guarantee whereas latter a.614 guarantee. investigate whether this gap in guarantees is evident practice or performs as well SDP. also performanc...

In this manuscript, we consider the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. We prove by defining a new Hilbert space and using spectral data of a kind, the potential function can be uniquely determined by a set of value of eigenfunctions at an interior point and p...

A model of a space X is simply a continuous dcpo D and a homeomorphism : X ! max D, where max D is given its inherited Scott topology. We show that a space has a coherent model ii it has a Scott domain model and investigate the topological structure of spaces which have G models.

Let A be a complex m × n matrix. We find simple and good lower bounds for its spectral norm ‖A‖ = max{ ‖Ax‖ | x ∈ C, ‖x‖ = 1 } by choosing x smartly. Here ‖ · ‖ applied to a vector denotes the Euclidean norm.

s of Talks Sven Buhl, Technical University of Munich, Germany Semiparametric estimation for max-stable space-time processes Abstract: We propose a semiparametric estimation procedure based on a closed form expression of the extremogram (cf. [2], [3], [4]) to estimate the model parameters in a max-stable space-time process. We establish the asymptotic properties of the resulting parameter estima...