of the solution space. Clearly, introduction of weights amounts to rescaling of the stochastic Fourier (Wiener chaos) representation of the solution. Below, we discuss briefly the construction of weighted spaces. Let R be a bounded linear operator on L 2 (F) defined by Rξ α = r α ξ α for every α ∈ J , where

in exploring the complexity of behaviour shown by nonlinear circuits and other dynamical systems (Rodgers 1992, Chacón et al 1992). A simple electronic circuit, which could form an introduction to project work in the field of chaos, is Chua’s autonomous circuit. Chua’s circuit can be used to demonstrate many

pseudo chaos generators which can produce periodic signals with eligible period length which resembles the chaotic signals in their statistical characteristics. Finally the application of this pseudo chaos generator to CDMA spread spectrum modulation is discussed. 1. INTRODUCTION In recent years

nite-context sources from fractal

previous results of 1. Introduction. Let X be a separable infinite-dimensional Banach space, and let ∆ be either the sector ∆(α) = {re iθ : r ≥ 0, |θ| ≤ α}, for some α ∈]0, π/2[, or ∆ = R + , R or C. A one-parameter family {T t } t∈∆ of linear and continuous operators on X is a strongly continuous

mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group elements are data structures in a computer. Matrices are unnecessarily large structures, and part of this thesis is concerned with small and efficient representations of a large class of Coxeter groups (including most Coxeter groups that anyone ever payed any attention to.) The main contents of the thesis can be summarized as follows. • We prove that for all Coxeter graphs constructed from an n-path of unlabelled edges by adding a new labelled edge and a new vertex (sometimes two new edges and vertices), there is a permutational representation of the corresponding group. Group elements correspond to integer n-sequences and the nodes in the path generate all n! permutations. The extra node has a more complicated action, adding a certain quantity to some of the numbers.

ges till offentlig granskning för avläggande av teknologie doktorsexamen fredagen

v er sio n 1

of statistical mechanics. Examples of such active units in complex physico-chemical and biological systems are chemically pow-ered nano-rods, localized patterns in reaction-diffusion system, motile cells or macroscopic animals. Based on the description of individual motion of point-like active particles

Abstract not found