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Martin Jansen

    Abstreifer für Werkzeugmaschinenführungen
    Mathematische Modellierung
    Musikalische Bildung. Eine Untersuchung über Theorie und Praxis
    Vergaberecht bei Zuwendungen
    Spatial modelling in forest ecology and management
    Generated dynamics of Markov and Quantum processes
    • 2016

      This book explores Markov and quantum processes as two aspects of generated stochastic processes. It examines quantum processes as reversible stochastic processes driven by one-step unitary operators, while Markov processes are characterized as irreversible, generated by one-step stochastic operators. Quantum processes exhibit oscillations, interference, and multiple stationary states in bounded systems, along with potential asymptotic stationary scattering states in open systems. In contrast, Markov processes relax to a single stationary state. Quantum processes consider all relevant variables affecting reversibility, while Markov processes arise when some variables are unobservable and thus irrelevant, leading to irreversibility. The text aims to contextualize various subdisciplines of theoretical physics within generated stochastic processes. Deterministic processes like classical mechanics emerge when fluctuations in relevant variables are minimal, while genuine quantum processes are addressed in quantum mechanics and quantum field theory. The book also discusses how relaxing Markov processes can emerge from quantum processes by omitting numerous uncontrollable variables. Systems with many variables often self-organize, allowing a few slow variables to become relevant. Identifying these variables relies on symmetries and topological classes. Additionally, the book offers general solution methods to find relevant variables

      Generated dynamics of Markov and Quantum processes
    • 2002

      This book focuses on the integration of spatial statistics, GIS-technology, ecosystem studies, and scenario modelling. Its main aim is to extend the information gained at the stand level to larger spatial scales, i. e. to forest districts, forest landscapes or to the total area of Lower Saxony. The studies demonstrate the potential and limitations of regionalization approaches for forest ecological variables. The results provide valuable spatial information for forest managers and landscape planners as well as for policy-makers. Some spatial models outlined in this book have been implemented as useful tools in present forest management. With current improvements of data quality, e. g. from remote sensing and refined ground-based inventories, methods are now available to develop large-scale approaches to forest ecology and management. This book is an indispensable tool for scientists and those involved in forest management.

      Spatial modelling in forest ecology and management