Statistical physics and spatial statistics : the art of analyzing and modeling spatial structures and pattern formation / Klaus R. Mecke, Dietrich Stoyan (eds.).

Contributor(s): Mecke, Klaus R, 1964- | Stoyan, Dietrich
Material type: TextTextSeries: Lecture notes in physics: 554.Publisher: Berlin ; New York : Springer, ©2000Description: 1 online resource (xii, 415 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540450436; 3540450432Subject(s): Statistical physics | Spatial analysis (Statistics) | Spatial analysis (Statistics) | Statistical physicsGenre/Form: Electronic books. Additional physical formats: Print version:: Statistical physics and spatial statistics.DDC classification: 530.15/95 LOC classification: QC174.8 | .S72 2000Online resources: Click here to access online
Contents:
Basic ideas of spatial statistics / Dietrich Stoyan -- Stationary models in stochastic geometry--palm distributions as distributions of typical elements, an approach without limits / Werner Nagel -- Statistical analysis of large-scale structure in the universe / Martin Kerscher -- Dynamics of structure formation in thin liquid films : a special spatial analysis / Karin Jacobs, Ralf Seemann, Klaus Mecke -- Mixed measures and inhomogeneous Boolean models / Wolfgang Weil -- Additivity, convexity, and beyond : applications of Minkowski functionals in statistical physics / Klaus R. Mecke -- Considerations about the estimation of the size distribution in Wicksell's corpuscle problem / Joachim Ohser, Konrad Sandau -- Local porosity theory and stochastic reconstruction for porous media / Rudolf Hilfer -- Stochastic models as tools for the analysis of decomposition and crystallisation phenomena in solids / Helmut Hermann -- Phase transition and percolation in Gibbsian particle models / Hans-Otto Georgii -- Fun with hard spheres / Hartmut Löwen -- Finite packings and parametric density / Jörg M. Wills -- A primer on perfect simulation / Elke Thönnes -- Grand canonical simulations of hard-disk systems by simulated tempering / Gunter Döge -- Dynamic triangulations for granular media simulations / Jean-Albert Ferrez, Thomas M. Liebling, Didier Müller.
Summary: Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.
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Includes bibliographical references and index.

Basic ideas of spatial statistics / Dietrich Stoyan -- Stationary models in stochastic geometry--palm distributions as distributions of typical elements, an approach without limits / Werner Nagel -- Statistical analysis of large-scale structure in the universe / Martin Kerscher -- Dynamics of structure formation in thin liquid films : a special spatial analysis / Karin Jacobs, Ralf Seemann, Klaus Mecke -- Mixed measures and inhomogeneous Boolean models / Wolfgang Weil -- Additivity, convexity, and beyond : applications of Minkowski functionals in statistical physics / Klaus R. Mecke -- Considerations about the estimation of the size distribution in Wicksell's corpuscle problem / Joachim Ohser, Konrad Sandau -- Local porosity theory and stochastic reconstruction for porous media / Rudolf Hilfer -- Stochastic models as tools for the analysis of decomposition and crystallisation phenomena in solids / Helmut Hermann -- Phase transition and percolation in Gibbsian particle models / Hans-Otto Georgii -- Fun with hard spheres / Hartmut Löwen -- Finite packings and parametric density / Jörg M. Wills -- A primer on perfect simulation / Elke Thönnes -- Grand canonical simulations of hard-disk systems by simulated tempering / Gunter Döge -- Dynamic triangulations for granular media simulations / Jean-Albert Ferrez, Thomas M. Liebling, Didier Müller.

Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.

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