LEADER 04835nam 22006855 450 001 9910299761803321 005 20200702112046.0 010 $a3-319-18660-4 024 7 $a10.1007/978-3-319-18660-3 035 $a(CKB)3710000000444446 035 $a(EBL)3567538 035 $a(SSID)ssj0001534701 035 $a(PQKBManifestationID)11819169 035 $a(PQKBTitleCode)TC0001534701 035 $a(PQKBWorkID)11497717 035 $a(PQKB)11332018 035 $a(DE-He213)978-3-319-18660-3 035 $a(MiAaPQ)EBC3567538 035 $a(PPN)187689865 035 $a(EXLCZ)993710000000444446 100 $a20150708d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractal Geometry and Stochastics V /$fedited by Christoph Bandt, Kenneth Falconer, Martina Zähle 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015. 215 $a1 online resource (339 p.) 225 1 $aProgress in Probability,$x1050-6977 ;$v70 300 $a"The first conference of the series "Fractal Geometry and Stochastics," which took place in 1994, was the first meeting in Europe devoted to the mathematics of fractals." 311 $a3-319-18659-0 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPreface -- Introduction -- Part 1: Geometric Measure Theory -- Sixty Years of Fractal Projections -- Scenery flow, conical densities, and rectifiability -- The Shape of Anisotropic Fractals: Scaling of Minkowski Functionals -- Projections of self-similar and related fractals: a survey of recent developments -- Part 2: Self-similar Fractals and Recurrent Structures -- Dimension of the graphs of the Weierstrass-type functions -- Tiling Z2 by a set of four elements -- Some recent developments in quantization of fractal measures -- Apollonian Circle Packings -- Entropy of Lyapunov-optimizing measures of some matrix cocycles -- Part 3: Analysis and Algebra on Fractals -- Poincaré functional equations, harmonic measures on Julia sets, and fractal zeta functions -- From self-similar groups to self-similar sets and spectra -- Finite energy coordinates and vector analysis on fractals -- Fractal zeta functions and complex dimensions: A general higher-dimensional theory -- Part 4: Multifractal Theory -- Inverse problems in multifractal analysis -- Multifractal analysis based on p-exponents and lacunarity exponents -- Part 5: Random Constructions -- Dimensions of Random Covering Sets -- Expected lifetime and capacity. 330 $aThis book brings together leading contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five sections covering different facets of this fast developing area: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. There are state-of-the-art surveys as well as papers highlighting more specific recent advances. The authors are world-experts who present their topics comprehensibly and attractively. The book provides an accessible gateway to the subject for newcomers as well as a reference for recent developments for specialists. Authors include: Krzysztof Bara?ski, Julien Barral, Kenneth Falconer, De-Jun Feng, Peter J. Grabner, Rostislav Grigorchuk, Michael Hinz, Stéphane Jaffard, Maarit Järvenpää, Antti Käenmäki, Marc Kesseböhmer, Michel Lapidus, Klaus Mecke, Mark Pollicott,  Micha? Rams, Pablo Shmerkin, and András Telcs. 410 0$aProgress in Probability,$x1050-6977 ;$v70 606 $aProbabilities 606 $aGeometry 606 $aMeasure theory 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 615 0$aProbabilities. 615 0$aGeometry. 615 0$aMeasure theory. 615 14$aProbability Theory and Stochastic Processes. 615 24$aGeometry. 615 24$aMeasure and Integration. 676 $a514.742 702 $aBandt$b Christoph$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFalconer$b Kenneth$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aZähle$b Martina$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299761803321 996 $aFractal Geometry and Stochastics V$92522535 997 $aUNINA