LEADER 01206nkm 2200361 450 001 9910704934703321 005 20150316124946.0 035 $a(CKB)5470000002446400 035 $a(OCoLC)904962805 035 $a(EXLCZ)995470000002446400 100 $a20150316d2008 ua i 101 0 $aeng 135 $aurcn||||||||| 181 $csti$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aEvery act counts $elong-lasting light bulbs are a bright idea 210 1$a[Washington, DC] :$c[U.S. Department of Commerce, National Oceanic and Atmospheric Administration],$d[2008] 215 $a1 online resource (1 poster) $ccolor illustrations 300 $aTitle from title screen (viewed on Mar. 13, 2015). 300 $a"IYOR 2008 (International Year of the Reef." 517 $aEvery act counts 606 $aLight bulbs$vPosters 606 $aEnergy conservation$vPosters 615 0$aLight bulbs 615 0$aEnergy conservation 712 02$aUnited States.$bNational Oceanic and Atmospheric Administration, 801 0$bGPO 801 1$bGPO 906 $aBOOK 912 $a9910704934703321 996 $aEvery act counts$93443871 997 $aUNINA LEADER 03959nam 22005895 450 001 9910300103903321 005 20200702162315.0 010 $a3-319-77661-4 024 7 $a10.1007/978-3-319-77661-3 035 $a(CKB)4100000004243810 035 $a(DE-He213)978-3-319-77661-3 035 $a(MiAaPQ)EBC5390246 035 $a(PPN)227403657 035 $a(EXLCZ)994100000004243810 100 $a20180509d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps $eA Functional Approach /$fby Viviane Baladi 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XV, 291 p. 1 illus.) 225 1 $aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,$x0071-1136 ;$v68 311 $a3-319-77660-6 327 $a1 Introduction -- Part I Smooth expanding maps -- 2 Smooth expanding maps: The spectrum of the transfer operator -- 3 Smooth expanding maps: Dynamical determinants -- Part II Smooth hyperbolic maps -- 4 Anisotropic Banach spaces dened via cones -- 5 A variational formula for the essential spectral radius -- 6 Dynamical determinants for smooth hyperbolic dynamics -- 7 Two applications of anisotropic spaces -- Part III Appendices -- A Spectral theory -- B Thermodynamic formalism: Non-multiplicative topological pressure -- C Properly supported operators (pseudolocality) -- D Alternative proofs for C1 dynamics and weights -- References -- Index. 330 $aThe spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer operators. In the hyperbolic case, the first key step consists in constructing a suitable Banach space of anisotropic distributions. The first part of the book is devoted to the easier case of expanding endomorphisms, showing how the (isotropic) function spaces relevant there can be studied via Paley?Littlewood decompositions, and allowing easier access to the construction of the anisotropic spaces which is performed in the second part. This is the first book describing the use of anisotropic spaces in dynamics. Aimed at researchers and graduate students, it presents results and techniques developed since the beginning of the twenty-first century. 410 0$aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,$x0071-1136 ;$v68 606 $aDynamics 606 $aErgodic theory 606 $aFunctional analysis 606 $aOperator theory 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aFunctional analysis. 615 0$aOperator theory. 615 14$aDynamical Systems and Ergodic Theory. 615 24$aFunctional Analysis. 615 24$aOperator Theory. 676 $a515.56 700 $aBaladi$b Viviane$4aut$4http://id.loc.gov/vocabulary/relators/aut$0718192 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300103903321 996 $aDynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps$91564714 997 $aUNINA