Tied-Down Wiener Process Approximations for Aligned Rank Order Processes and Some Applications

On a Class of Aligned Rank Order Tests for Multiresponse Experiments in Some Incomplete Block Designs

Weak Approximations for Wiener Functionals

Abstract. In this paper we introduce a simple space-filtration discretization scheme on Wiener space which allows us to study weak decompositions of a large class of Wiener functionals. We show that any Wiener functional has an underlying robust semimartingale skeleton which under mild conditions converges to it. The approximation is given in terms of discrete-jumping filtrations which allow us...

Death DNase tied down

elomeric proteins may have an unexpected connection to the mitotic spindle. On page 819, Xu and Blackburn provide evidence that the human homologue of a yeast telomere-binding protein is found on anaphase midzone microtubules. The telomeric functions of the human and yeast versions of this protein, Rif1, have diverged during evolution. In budding yeast, Rif1 is a telomere-bound negative regulat...

Uniformly exponentially or polynomially stable approximations for second order evolution equations and some applications

In this paper, we consider the approximation of second order evolution equations. It is well known that the approximated system by finite element or finite difference is not uniformly exponentially or polynomially stable with respect to the discretization parameter, even if the continuous system has this property. Our goal is to damp the spurious high frequency modes by introducing numerical vi...

Low rank approximations of infinite-dimensional Lyapunov equations and applications

Lyapunov equation. We analyze the approximation properties of solutions of abstract Lyapunov equations in the setting of a scale of Hilbert spaces associated to an unbounded diagonalizable operator which satisfies the Kato’s square root theorem. We call an (unbounded) operator A diagonalizable if there exists a bounded operator Q, with a bounded inverse, such that the (unbounded) operator Q−1AQ...