Poles of regular quaternionic functions

This paper studies the singularities of Cullen-regular functions of one quaternionic variable. The quaternionic Laurent series prove to be Cullen-regular. The singularities of Cullen-regular functions are thus classified as removable, essential or poles. The quaternionic analogues of meromorphic complex functions, called semiregular functions, turn out to be quotients of Cullen-regular functions with respect to an appropriate division operation. This allows a detailed study of the poles and their distribution.Comment: 14 page

Matrix representations of a special polynomial sequence in arbitrary dimension

This paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of multiplicativity caused by the non-commutativity of the underlying algebra.Fundação para a Ciência e a Tecnologia (FCT

The Static Maxwell System in Three Dimensional Axially Symmetric Inhomogeneous Media and Axially Symmetric Generalization of the Cauchy–Riemann System

In this paper we discuss different generalizations of the Cauchy–Riemann system and their connection with the static Maxwell system. In particular, this allows us to present relations between slice-monogenic functions and hypermonogenic functions, as well as to provide a physical interpretation of slice-monogenic functions. Furthermore, we present an explicit and complete set of basic solutions of a new class of axial-hypermonogenic functions in R^3. In the end we determine the symmetry operators for the class of axial-hypermonogenic functions

Nomad DNA — A model for movement and duplication of DNA sequences in plant genomes

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43425/1/11103_2004_Article_BF00019160.pd

How expectations became governable: institutional change and the performative power of central banks

Central banks have accumulated unparalleled power over the conduct of macroeconomic policy. Key for this development was the articulation and differentiation of monetary policy as a distinct policy domain. While political economists emphasize the foundational institutional changes that enabled this development, recent performativity-studies focus on central bankers’ invention of expectation management techniques. In line with a few other works, this article aims to bring these two aspects together. The key argument is that, over the last few decades, central banks have identified different strategies to assume authority over “expectational politics” and reinforced dominant institutional forces within them. I introduce a comparative scheme to distinguish two different expectational governance regimes. My own empirical investigation focuses on a monetarist regime that emerged from corporatist contexts, where central banks enjoyed “embedded autonomy” and where commercial banks maintained conservative reserve management routines. I further argue that innovations towards inflation targeting took place in countries with non-existent or disintegrating corporatist structures and where central banks turned to finance to establish a different version of expectation coordination. A widespread adoption of this “financialized” expectational governance has been made possible by broader processes of institutional convergence that were supported by central bankers themselves