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020 _a9783540450436
_9978-3-540-45043-6
024 7 _a10.1007/3-540-45043-2
_2doi
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072 7 _aMAT012000
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072 7 _aPBM
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082 0 4 _a516
_223
245 1 0 _aStatistical Physics and Spatial Statistics
_h[electronic resource] :
_bThe Art of Analyzing and Modeling Spatial Structures and Pattern Formation /
_cedited by Klaus R. Mecke, Dietrich Stoyan.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2000.
300 _aXII, 420 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v554
505 0 _aSpatial Statistics and Point Processes -- Basic Ideas ofSpatial Statistics -- Stationary Models in Stochastic Geometry - Palm Distributions as Distributions of Typical Elements. An Approach Without Limits -- Statistical Analysis of Large-Scale Structure in the Universe -- Dynamics ofStructure Formation in Thin Liquid Films: A Special Spatial Analysis -- Integral Geometry and Morphology of Patterns -- Mixed Measures and Inhomogeneous Boolean Models -- Additivity, Convexity, and Beyond: Applications of Minkowski Functionals in Statistical Physics -- Considerations About the Estimation ofthe Size Distribution in Wicksell’s Corpuscle Problem -- Local Porosity Theory and Stochastic Reconstruction for Porous Media -- Stochastic Models as Tools for the Analysis of Decomposition and Crystallisation Phenomena in Solids -- Phase Transitions and Simulations of Hard Particles -- Phase Transition and Percolation in Gibbsian Particle Models -- Fun with Hard Spheres -- Finite Packings and Parametric Density -- A Primer on Perfect Simulation -- Grand Canonical Simulations ofHard-Disk Systems by Simulated Tempering -- Dynamic Triangulations for Granular Media Simulations.
520 _aModern 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.
650 0 _aGeometry.
650 0 _aDistribution (Probability theory.
650 0 _aStatistics.
650 0 _aStatistical physics.
650 1 4 _aGeometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21006
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aCondensed Matter Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P25005
650 2 4 _aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/S17020
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aMecke, Klaus R.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aStoyan, Dietrich.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642087257
776 0 8 _iPrinted edition:
_z9783540677505
776 0 8 _iPrinted edition:
_z9783662142998
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v554
856 4 0 _uhttps://doi.org/10.1007/3-540-45043-2
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