The aim of this paper is to study jumping numbers and multiplier ideals of any ideal in a two-dimensional local ring with a rational singularity. In particular we reveal which information encoded in a multiplier ideal determines the next jumping number. This leads to an algorithm to compute sequentially the jumping numbers and the whole chain of multiplier ideals in any desired range. As a cons...

The aim of this paper is to study mixed multiplier ideals associated to a tuple of ideals in a two-dimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given by the regions where the mixed multiplier ideals are constant. In particular we reveal which information encoded in a mixed multiplier ideal determines its corresponding jumpin...

Let G denote a locally compact Hausdorff abelian group. Then a bounded linear operator T from L^2(G) into L^2(G) is a bounded multiplier operator if, under the Fourier transform on L^2(G ), for each function f in L^2(G), T(f) changes into a bounded function U times the Fourier transform of f. Then U is called the multiplier of T. An unbounded multiplier operator has a similar definition, but it...

In this paper we report experimental results that relate to the reciprocity experiment of Berg, Dickhaut, and McCabe (1995). We consider direct reciprocity, which means to respond in kind to another person, and indirect reciprocity, understood as rewarding someone else. Another variation concerns the information about the multiplier of donations where we compare the benchmark case with a common...

The associated evolution operators which map u(0, ·) to u(t, ·) is the family of Fourier multipliers e, e := F e F . (2) Our main result shows that boundedness in L for p 6= 2 is very rare. The evolution operator is L bounded if and only if it consists of simple translations. If the multiplier (2) is an L multiplier then it is an L multiplier for the dual index, p+q = 1. By interpolation it is ...

Integral quadratic constraints (IQC) arise in many optimal and/or robust control problems. The IQC approach can be viewed as a generalization of the classical multiplier approach in the absolute stability theory. In this paper, we study the relationship between the two approaches for robust stability analysis. The key result shows that for many applications, the existence of an IQC is equivalen...

In this paper, we present flexible multi-precision multiplier that combined variable precision, parallel processing (PP), razor based dynamic voltage scaling (DVS), and dedicated MP operand scheduling to provide optimum performance for variety of operating conditions. All of the building blocks of proposed flexible multiplier can either work as independent small precision multiplier or parallel...

Introduction. There has arisen in recent years a substantial body of work on “multiplier ideals” in commutative rings (see [La]). Multiplier ideals are integrally closed ideals with properties that lend themselves to highly interesting applications. One is tempted then to ask just how special multiplier ideals are among integrally closed ideals in general. In this note we show that in a two-dim...

Abstract: In this paper we explore a matrix representation of binary fields F2n defined by an irreducible trinomial P = X + X + 1. We obtain a multiplier with time complexity of TA + (⌈log2(n)⌉)TX and space complexity of (2n − 1)n AND and (2n − 1)(n − 1) XOR . This multiplier reaches the lower bound on time complexity. Until now this was possible only for binary field defined by AOP (Silverman,...

This paper axiomatizes the robust control criterion of multiplier preferences introduced by Hansen and Sargent (2001). The axiomatization relates multiplier preferences to other classes of preferences studied in decision theory. Some properties of multiplier preferences are generalized to the broader class of variational preferences, recently introduced by Maccheroni, Marinacci and Rustichini (...