In this paper we study the shape and growth of structured pseudospectra for small matrix perturbations of the form A A∆ = A + B∆C, ∆ ∈ ∆, ‖∆‖ ≤ δ. It is shown that the properly scaled pseudospectra components converge to non-trivial limit sets as δ tends to 0. We discuss the relationship of these limit sets with μ-values and structured eigenvalue condition numbers for multiple eigenvalues.

A linear form of the radiative transfer equation for the simultaneous retrieval of atmospheric temperature and absorbing gas profiles and surface temperature from radiance spectra was derived in the classic paper by Smith et al. (1991). The derivation started with the RTE difference between the true and initial radiance spectra. It is shown that there exists a dual representation of this RTE di...

An instance of the generalized reordering buffer management problem consists of a service station that has k servers, each configured with a color, and a buffer of size b. The station needs to serve an online stream of colored items. Whenever an item arrives, it is stored in the buffer. At any point in time, a currently pending item can be served by switching a server to its color. The objectiv...

Abstract Shnerb et al. (2000), (2001) studied the following system of interacting particles on Z: There are two kinds of particles, called A-particles and B-particles. The A-particles perform continuous time simple random walks, independently of each other. The jumprate of each A-particle is DA. The B-particles perform continuous time simple random walks with jumprate DB , but in addition they ...

Elizabeth Allman Institute: University of Alaska, Fairbanks, USA. On the identifiability of 2-tree mixtures Joint work with S. Petrovic, J. Rhodes, and S. Sullivant. Phylogenetic data arising on two possibly different tree topologies might be mixed through several biological mechanisms, including incomplete lineage sorting in the case of different topologies, or simply different substitution pr...

and Applied Analysis 3 The role of “compact operators” is replaced by that of “minimal one-sided ideals”. The proof of our results relies on the quasispatiality of the derivation and Banach algebra techniques. This paper is a continuation of 5 . Some definitions and notations can be found in 5 . 2. Preliminaries Throughout this paper, X is a complex Banach space, and X∗ is the topological dual ...

There exists an absolute constant δ > 0 such that for all q and all subsets A ⊆ Fq of the finite field with q elements, if |A| > q2/3−δ , then |(A−A)(A−A)| = |{(a− b)(c − d) : a, b, c, d ∈ A}| > q 2 . Any δ < 1/13, 542 suffices for sufficiently large q. This improves the condition |A| > q2/3, due to Bennett, Hart, Iosevich, Pakianathan, and Rudnev, that is typical for such questions. Our proof ...

As it is well-known, the classical isoperimetric problem on the plane claims to find a simple closured curve of the plane that bounds a maximal possible area. We shell concern with some discrete analog of this problem. It was proved in [1], that for any integer m, represented in the form m = ∑r i=0 ( n i ) + δ, 0 ≤ δ < ( n r+1 ) , one of m-element subsets on n-cube B with minimum boundary is th...

background: we examined epidemiological aspects of dynamic changes in incidence of ovarian cancer in women of kazakh and russian nationalities in kazakhstan. methods: the material of investigation was primary data on registered patients with malignant ovarian tumors in the whole country. the study was conducted during the period of 1999-2009. evaluation of changes in ovarian cancer incidence in...