vol11_pp132-161. 594KB Jun 04 2011 12:05:51 AM
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Abstract: In this note, we shall investigate the Hölder continuity of matrix functions ap- plied to normal matrices provided that the underlying scalar function is Hölder
Several properties of scalar palindromic polynomials are derived, and together with properties of compound matrices, used to establish the Smith form of regular and singular
Our aim in this section is to show that for any stable n -tuple ζ of complex numbers, n > 1, consisting of real numbers and conjugate pairs, there exists a real stable n×n matrix
The dimension of a vector subspace is denoted by dim( · ).. Main results for rectangular coefficient matrices. In this section we shall consider two important cases with many
In Section 3, we show that the birth-and-assassination process is the scaling limit, as n goes to infin- ity, of the rumor scotching process when G is the complete graph over n
In this paper a method for proving homogenization of divergence form elliptic equations is extended to the non-divergence case.. A new proof of homogenization is given when the
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
A related model is the directed polymer in a random medium (DPRM), in which the underlying Markov chain is generally taken to be SSRW on Z d and the polymer encounters a
