getdoceb3d. 138KB Jun 04 2011 12:05:08 AM
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Here, we de- scribe multiplicative maps that preserve a certain function, property, or set of matri- ces: norms, spectrum, spectral radius, elementary symmetric functions
Throughout the variety of forms arising from this family, a particular one seems to be of special interest, since it preserves the symmetric or alternating symmetry structure of
Results analogous to Theorem 4.4, with essentially the same proofs (using canon- ical forms of symmetric-skewsymmetric complex matrix pencils given in Proposition 4.7 below), hold
In this paper, by investigating the Perron vector of G, we show that type-I-a graphs are not λ 1 -extremal graphs, and type-I-b (resp. type-II-a) graphs with some.. specified
Key words: semimartingales; Gaussian processes; stationary processes; moving averages; stochastic convolutions; non-canonical representations.. AMS 2000 Subject Classification:
Under the hypothesis of convergence in probability of a sequence of c` adl` ag processes ( X n )n to a c`adl`ag process X , we are interested in the convergence of corresponding
Abstract We give sharp rates of convergence for a natural Markov chain on the space of phylogenetic trees and dually for the natural random walk on the set of perfect matchings in
Finally, we note that the proof of the convergence (3) of Theorem 2 (which is given in Section 4) works as it is, when we start the Markov chain with a translation invariant