Erratum: Nonconventional random matrix products

\random" Random Matrix Products

Erratum: Subadditivity, Generalized Products of Random Matrices and Operations Research

An elementary theorem on subadditive sequences provides the key to a far-reaching theory of subadditive processes. One important instance of this theory is the limit theory for products of stationary random matrices. This paper shows that the subadditive inequality that governs the log of the norm of ordinary matrix products also governs other functions of several generalized matrix products. T...

A Nonconventional Invariance Principle for Random Fields

In [16] we obtained a nonconventional invariance principle (functional central limit theorem) for sufficiently fast mixing stochastic processes with discrete and continuous time. In this paper we derive a nonconventional invariance principle for sufficiently well mixing random fields.

Evaluating products of matrix pencils and collapsing matrix products

This paper describes three numerical methods to collapse a formal product of p pairs of matrices P = Q p?1 k=0 E ?1 k A k down to the product of a single pair ^ E ?1 ^ A. In the setting of linear relations, the product formally extends to the case in which some of the E k 's are singular and it is impossible to explicitly form P as a single matrix. The methods diier in op count, work space, and...

Erratum for Inokuma et al., Complete Genome Sequence of Kluyveromyces marxianus NBRC1777, a Nonconventional Thermotolerant Yeast

We determined the genome sequence of the thermotolerant yeast Kluyveromyces marxianus strain NBRC1777. The genome of strain NBRC1777 is composed of 4,912 open reading frames (ORFs) on 8 chromosomes, with a total size of 10,895,581 bp, including mitochondrial DNA.