LEADER 03250nam 22006015 450 001 9910257378803321 005 20200706104540.0 010 $a3-319-65837-9 024 7 $a10.1007/978-3-319-65837-7 035 $a(CKB)4340000000223358 035 $a(DE-He213)978-3-319-65837-7 035 $a(MiAaPQ)EBC5590915 035 $a(PPN)221248684 035 $a(EXLCZ)994340000000223358 100 $a20171103d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMetrical and Dynamical Aspects in Complex Analysis /$fedited by Léa Blanc-Centi 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XIV, 173 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2195 311 $a3-319-65836-0 320 $aIncludes bibliographical references. 327 $a1. Invariant Distances -- 2. Dynamics in Several Complex Variables -- 3. Gromov Hyperbolic Spaces and Applications to Complex Analysis -- 4. Gromov Hyperbolicity of Bounded Convex Domains -- 5. Quasi-conformal Mappings -- 6. Carleson Measures and Toeplitz Operators. References. 330 $aThe central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2195 606 $aFunctions of complex variables 606 $aHyperbolic geometry 606 $aDynamics 606 $aErgodic theory 606 $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198 606 $aHyperbolic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21030 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 615 0$aFunctions of complex variables. 615 0$aHyperbolic geometry. 615 0$aDynamics. 615 0$aErgodic theory. 615 14$aSeveral Complex Variables and Analytic Spaces. 615 24$aHyperbolic Geometry. 615 24$aDynamical Systems and Ergodic Theory. 676 $a514.223 702 $aBlanc-Centi$b Léa$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910257378803321 996 $aMetrical and dynamical aspects in complex analysis$91522936 997 $aUNINA