An Invariance Principle of G-Brownian Motion for the Law of the Iterated Logarithm under G-expectation

The classical law of the iterated logarithm (LIL for short)as fundamental limit theorems in probability theory play an important role in the development of probability theory and its applications. Strassen (1964) extended LIL to large classes of functional random variables, it is well known as the invariance principle for LIL which provide an extremely powerful tool in probability and statistical inference. But recently many phenomena show that the linearity of probability is a limit for applications, for example in finance, statistics. As while a nonlinear expectation--- G-expectation has attracted extensive attentions of mathematicians and economists, more and more people began to study the nature of the G-expectation space. A natural question is: Can the classical invariance principle for LIL be generalized under G-expectation space? This paper gives a positive answer. We present the invariance principle of G-Brownian motion for the law of the iterated logarithm under G-expectation

Fast Sparse Matrix Multiplication

Let A and B two n n matrices over a ring R (e.g., the reals or the integers) each containing at most m non-zero elements. We present a new algorithm that multiplies A and B using O(m ) algebraic operations (i.e., multiplications, additions and subtractions) over R. The naive matrix multiplication algorithm, on the other hand, may need to perform #(mn) operations to accomplish the same task. For , the new algorithm performs an almost optimal number of only n operations. For m the new algorithm is also faster than the best known matrix multiplication algorithm for dense matrices which uses O(n ) algebraic operations. The new algorithm is obtained using a surprisingly straightforward combination of a simple combinatorial idea and existing fast rectangular matrix multiplication algorithms. We also obtain improved algorithms for the multiplication of more than two sparse matrices

Verkehrsablauf in Verflechtungsbereichen mit starken Randstroemen zwischen Einfahr- und Ausfahrrampen planfreier Knotenpunkte

TIB: in L bau 512j/ZA 4681 (383)+a / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

Projekt WAYflow - Mobilitaet in Ballungsraeumen. Anlage 9: Konzept fuer die Verkehrsabwicklung von Grossveranstaltungen im Rhein-Main-Gebiet

Available from TIB Hannover: QN 454(9) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEBundesministerium fuer Bildung und Forschung, Berlin (Germany)DEGerman

Ermittlung von Reifenkennfeldern auf echten Fahrbahnbelaegen

Im Rahmen des dokumentierten Vorhabens werden auf echten, vom oeffentlichen Verkehr benutzten Strassen Reifenkennfelder erstellt. Neben dem PIARC-Reifen werden unterschiedliche Serienreifen bei verschiedenen Geschwindigkeiten untersucht. Die zwischen Reifen und Fahrbahn wirkenden Kraefte werden bei unterschiedlichen Schlupf und Sturz unter stufenlosen Verstellung des Schraeglaufwinkels in einem Bereich von ca. - 18 to + 11 gemessen. Als Messgeraet dient der Universelle Reibungsmesser II (URM II) des Instituts fuer Verbrennungsmotoren und Kraftfahrwesen der Universitaet Stuttgart. (orig./RHM)Within the reported project tyre characteristics diagrams are produced on actual roads used by the public. In addition to the PIARC tyre, different standard tyres are tested at different speeds. The forces acting between tyre and carriageway are measured with varying slip and camber angle with continuously variable adjustment of the slip angle within a range of approximately - 18 to + 11 . The Universal Friction Meter II, developed by the University of Stuttgart's institute for internal combustion engines and automotive engineering, was used as the measuring device. (orig./RHM)SIGLEAvailable from TIB Hannover: ZA 4681(630)+a / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

Ermittlung des Energieverbrauchs und der CO_2-Emissionen beim Einsatz unterschiedlicher Verkehrsmittel im Personenverkehr Gutachten

Available from TIB Hannover: F95B1474 / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman