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This work incorporates three treatises which are commonly concerned with a stochastic theory of the Lyapunov exponents. With the help of this theory universal scaling laws are investigated which appear in coupled chaotic and disordered systems. First, two continuous-time stochastic models for weakly coupled chaotic systems are introduced to study the scaling of the Lyapunov exponents with the coupling strength (coupling sensitivity of chaos). By means of the the Fokker-Planck formalism scaling relations are derived, which are confirmed by results of numerical simulations. Next, coupling sensitivity is shown to exist for coupled disordered chains, where it appears as a singular increase of the localization length. Numerical findings for coupled Anderson models are confirmed by analytic results for coupled continuous-space Schrödinger equations. The resulting scaling relation of the localization length resembles the scaling of the Lyapunov exponent of coupled chaotic systems. Finally, the statistics of the exponential growth rate of the linear oscillator with parametric noise are studied. It is shown that the distribution of the finite-time Lyapunov exponent deviates from a Gaussian one. By means of the generalized Lyapunov exponents the parameter range is determined where the non-Gaussian part of the distribution is significant and multiscaling becomes essential.
Adult education on quality management and other cross-selectional aspects of public administration
(2003)
The Celtic Englishes III
(2003)
The Celtic Englishes I
(2003)
The volumes in the present series deal with "The Celtic Englishes" and explore the linguistic outcome of the (historical as well as contemporary) contact between the English language and the indigenous languages of the British Isles and Ireland, i.e. the Insular Celtic languages such as Irish (Gaelic), Scottish Gaelic, Manx (Gaelic), Welsh, Cornish and, by extension, Breton. These form the native languages of the so-called "inner colonies" of England (Hechter) and provided the basis for the rise of the "Celtic Englishes" during and after the shift of the population from their Celitc source languages to English as their target language over a number of centuries. The "Celtic Englishes" were also transported to the "outer colonies," notably to North America (USA and Canada), Australia, New Zealand, South Africa and, by Irish missionary activities in the 19th and 20th c., West Africa. The contributions to this series of volumes explore the different types of the "Celtic Englishes" from various linguitic perspectives (phonological, grammatical, lexical; synchronic, diachronic; diastratic; etc.). The methodologies used also vary between traditional dialectological approaches, philology, structuralism, functional linguistics, corpus analysis, typology and universal grammar. Because of its advanced analycity, the typological separation of Middle English from the other Germanic languages is also explored and the question raised whether the English language as such does not have to be considered as the outcome of language contact between the native Britons, who spoke varieties of the Brittonic branch of the Celtic languages and who shifted to English during the three or four centuries after the Anglo-Saxon Conquest. Volume four is to appear in 2006. See: http://www.celtic-englishes.de/
This is the first issue of a series in which affiliates of the Institute of Linguistics report the results of their experimental work. Generative linguistics usually rely on the method of native speaker judgements in order to test their hypotheses. If a hypothesis rules out a set of sentences, linguistics can ask native speakers whether they feel these sentences are indeed ungrammatical in their language. There are, however, circumstances where this method is unreliable. In such cases a more elaborate method to test a hypothesis is called. All papes in this series, and hence, all papers in this volume deal with issues that cannot be reliably tested with native speaker judgements. This volume contains 7 papers, all using different methods and finding answers to very different questions. This heterogenity, by the way, reflects the various interests and research programs of the institute. The paper, by Trutkowski, Zugck, Blaszczak, Fanselow, Fischer and Vogel deals with superiority in 10 Indo-European languages. The paper by Schlesewsky, Fanselow and Frisch and by Schlesewsky and Frisch, deal with the role of case in processing German sentences. The paper by Vogel and Frisch deals with resolving case conflicts, as does the paper by Vogel and Zugck. The nature of partitive case is the topic of the paper by Fischer. The paper by K?gler deals with the realization of question intonation in two German dialects. We hope that you enjoy reading the papers!