zum Inhalt wechseln
Random Fields on the Sphere : Representation, Limit Theorems and Cosmological Applications. Titelvorschau
SchließenTitelvorschau
Prüfung…

Random Fields on the Sphere : Representation, Limit Theorems and Cosmological Applications.

Verfasser/in: Domenico Marinucci; Giovanni Peccati
Verlag: Cambridge : Cambridge University Press, 2011.
Serien: London Mathematical Society Lecture Note Series, 389.
Ausgabe/Format   E-Book : Dokument : EnglischAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
Zusammenfassung:
Reviews recent developments in the analysis of isotropic spherical random fields, with a view towards applications in cosmology.
Bewertung:

(noch nicht bewertet) 0 mit Rezensionen - Verfassen Sie als Erste eine Rezension.

Themen
Ähnliche Titel

 

Online anzeigen

Links zu diesem Titel

Exemplar ausleihen

&AllPage.SpinnerRetrieving; Suche nach Bibliotheken, die diesen Titel besitzen ...

Details

Gattung/Form: Electronic books
Physisches Format Print version:
Marinucci, Domenico.
Random Fields on the Sphere : Representation, Limit Theorems and Cosmological Applications.
Cambridge : Cambridge University Press, ©2011
Medientyp: Dokument, Internetquelle
Dokumenttyp: Internet-Ressource, Computer-Datei
Alle Autoren: Domenico Marinucci; Giovanni Peccati
ISBN: 9781139117487 1139117483 1283296179 9781283296175 9780511751677 0511751672 9781139128148 1139128140 1139115316 9781139115315
OCLC-Nummer: 769341761
Anmerkungen: 7.6.1 Convolutions as mixed states.
Beschreibung: 1 online resource (355 pages).
Inhalt: Cover; Title; Copyright; Contents; Dedication; Preface; 1 Introduction; 1.1 Overview; 1.2 Cosmological motivations; 1.3 Mathematical framework; 1.4 Plan of the book; 2 Background Results in Representation Theory; 2.1 Introduction; 2.2 Preliminary remarks; 2.3 Groups: basic definitions; 2.3.1 First definitions and examples; 2.3.2 Cosets and quotients; 2.3.3 Actions; 2.4 Representations of compact groups; 2.4.1 Basic definitions; 2.4.2 Group representations and Schur Lemma; 2.4.3 Direct sum and tensor product representations; 2.4.4 Orthogonality relations; 2.5 The Peter-Weyl Theorem. 3 Representations of SO(3) and Harmonic Analysis on S23.1 Introduction; 3.2 Euler angles; 3.2.1 Euler angles for SU(2); 3.2.2 Euler angles for SO(3); 3.3 Wigner's D matrices; 3.3.1 A family of unitary representations of SU(2); 3.3.2 Expressions in terms of Euler angles and irreducibility; 3.3.3 Further properties; 3.3.4 The dual of SO(3); 3.4 Spherical harmonics and Fourier analysis on S2; 3.4.1 Spherical harmonics and Wigner's Dl matrices; 3.4.2 Some properties of spherical harmonics; 3.4.3 An alternative characterization of spherical harmonics; 3.5 The Clebsch-Gordan coefficients. 3.5.1 Clebsch-Gordan matrices3.5.2 Integrals of multiple spherical harmonics; 3.5.3 Wigner 3 j coefficients; 4 Background Results in Probability and Graphical Methods; 4.1 Introduction; 4.2 Brownian motion and stochastic calculus; 4.3 Moments, cumulants and diagram formulae; 4.4 The simplified method of moments on Wiener chaos; 4.4.1 Real kernels; 4.4.2 Further results on complex kernels; 4.5 The graphical method for Wigner coefficients; 4.5.1 From diagrams to graphs; 4.5.2 Further notation; 4.5.3 First example: sums of squares; 4.5.4 Cliques and Wigner 6 j coefficients. 4.5.5 Rule n. 1: loops are zero4.5.6 Rule n. 2: paired sums are one; 4.5.7 Rule n. 3: 2-loops can be cut, and leave a factor; 4.5.8 Rule n. 4: three-loops can be cut, and leave a clique; 5 Spectral Representations; 5.1 Introduction; 5.2 The Stochastic Peter-Weyl Theorem; 5.2.1 General statements; 5.2.2 Decompositions on the sphere; 5.3 Weakly stationary random fields in Rm; 5.4 Stationarity and weak isotropy in R3; 6 Characterizations of Isotropy; 6.1 Introduction; 6.2 First example: the cyclic group; 6.3 The spherical harmonics coefficients; 6.4 Group representations and polyspectra. 6.5 Angular polyspectra and the structure of?l1 ... ln6.5.1 Spectra of strongly isotropic fields; 6.5.2 The structure of?l1 ... ln; 6.6 Reduced polyspectra of arbitrary orders; 6.7 Some examples; 7 Limit Theorems for Gaussian Subordinated Random Fields; 7.1 Introduction; 7.2 First example: the circle; 7.3 Preliminaries on Gaussian-subordinated fields; 7.4 High-frequency CLTs; 7.4.1 Hermite subordination; 7.5 Convolutions and random walks; 7.5.1 Convolutions on?SO (3); 7.5.2 The cases q = 2 and q = 3; 7.5.3 The case of a general q: results and conjectures; 7.6 Further remarks.
Serientitel: London Mathematical Society Lecture Note Series, 389.
Weitere Informationen:

Abstract:

Reviews recent developments in the analysis of isotropic spherical random fields, with a view towards applications in cosmology.  Weiterlesen…

Rezensionen

Redaktionelle Rezension

Nielsen BookData

"The methods described in the book shed light on extremely important issues in astrophysics, cosmology, and fundamental physics. Most of the results of the book were first proved by the authors. Weiterlesen…

 
Nutzer-Rezensionen
Suche nach GoodReads-Rezensionen
Suche nach DOGObooks-Rezensionen…

Tags

Tragen Sie als Erste Tags ein.
Anfrage bestätigen

Sie haben diesen Titel bereits angefordert. Wenn Sie trotzdem fortfahren möchten, klicken Sie auf OK.

Verlinkung


Primary Entity

<http://www.worldcat.org/oclc/769341761> # Random Fields on the Sphere Representation, Limit Theorems and Cosmological Applications.
    a schema:Book, schema:CreativeWork, schema:MediaObject ;
    library:oclcnum "769341761" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/836169620#Place/cambridge> ; # Cambridge
    schema:about <http://id.worldcat.org/fast/1089800> ; # Random fields
    schema:about <http://experiment.worldcat.org/entity/work/data/836169620#Topic/mathematics_probability_&_statistics_general> ; # MATHEMATICS--Probability & Statistics--General
    schema:about <http://id.loc.gov/authorities/subjects/sh85126596> ; # Spherical harmonics
    schema:about <http://id.worldcat.org/fast/1129683> ; # Spherical harmonics
    schema:about <http://experiment.worldcat.org/entity/work/data/836169620#Topic/science> ; # Science
    schema:about <http://experiment.worldcat.org/entity/work/data/836169620#Topic/science_cosmology> ; # SCIENCE--Cosmology
    schema:about <http://experiment.worldcat.org/entity/work/data/836169620#Topic/cosmology_statistical_methods> ; # Cosmology--Statistical methods
    schema:about <http://id.loc.gov/authorities/subjects/sh85029280> ; # Compact groups
    schema:about <http://dewey.info/class/523.1015195/> ;
    schema:about <http://id.worldcat.org/fast/871287> ; # Compact groups
    schema:about <http://experiment.worldcat.org/entity/work/data/836169620#Topic/mathematics> ; # Mathematics
    schema:about <http://id.loc.gov/authorities/subjects/sh85111347> ; # Random fields
    schema:about <http://experiment.worldcat.org/entity/work/data/836169620#Topic/astronomy> ; # Astronomy
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/163967239> ; # Giovanni Peccati
    schema:creator <http://viaf.org/viaf/171836155> ; # Domenico Marinucci
    schema:datePublished "2011" ;
    schema:description "Reviews recent developments in the analysis of isotropic spherical random fields, with a view towards applications in cosmology."@en ;
    schema:description "Cover; Title; Copyright; Contents; Dedication; Preface; 1 Introduction; 1.1 Overview; 1.2 Cosmological motivations; 1.3 Mathematical framework; 1.4 Plan of the book; 2 Background Results in Representation Theory; 2.1 Introduction; 2.2 Preliminary remarks; 2.3 Groups: basic definitions; 2.3.1 First definitions and examples; 2.3.2 Cosets and quotients; 2.3.3 Actions; 2.4 Representations of compact groups; 2.4.1 Basic definitions; 2.4.2 Group representations and Schur Lemma; 2.4.3 Direct sum and tensor product representations; 2.4.4 Orthogonality relations; 2.5 The Peter-Weyl Theorem."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/836169620> ;
    schema:genre "Electronic books"@en ;
    schema:image <http://assets.cambridge.org/97805211/75616/cover/9780521175616.jpg> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/836169620#Series/london_mathematical_society_lecture_note_series_389> ; # London Mathematical Society Lecture Note Series, 389.
    schema:isSimilarTo <http://worldcat.org/entity/work/data/836169620#CreativeWork/random_fields_on_the_sphere_representation_limit_theorems_and_cosmological_applications> ;
    schema:name "Random Fields on the Sphere Representation, Limit Theorems and Cosmological Applications."@en ;
    schema:productID "769341761" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/769341761#PublicationEvent/cambridge_cambridge_university_press_2011> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/836169620#Agent/cambridge_university_press> ; # Cambridge University Press
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=399346> ;
    schema:url <http://dx.doi.org/10.1017/CBO9780511751677> ;
    schema:url <http://www.myilibrary.com?id=329617> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=775025> ;
    schema:url <http://site.ebrary.com/id/10502831> ;
    schema:url <http://0-dx.doi.org.oasis.unisa.ac.za/10.1017/CBO9780511751677> ;
    schema:url <http://www.myilibrary.com?id=329617&ref=toc> ;
    schema:url <http://site.ebrary.com/lib/alltitles/Doc?id=10502831> ;
    schema:workExample <http://worldcat.org/isbn/9781139115315> ;
    schema:workExample <http://worldcat.org/isbn/9781139128148> ;
    schema:workExample <http://worldcat.org/isbn/9781283296175> ;
    schema:workExample <http://worldcat.org/isbn/9781139117487> ;
    schema:workExample <http://worldcat.org/isbn/9780511751677> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/769341761> ;
    .


Related Entities

<http://0-dx.doi.org.oasis.unisa.ac.za/10.1017/CBO9780511751677>
    rdfs:comment "View full-text e-book at Cambridge.
Access restricted to Unisa staff and students
" ;
    .

<http://experiment.worldcat.org/entity/work/data/836169620#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
    schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/836169620#Series/london_mathematical_society_lecture_note_series_389> # London Mathematical Society Lecture Note Series, 389.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/769341761> ; # Random Fields on the Sphere Representation, Limit Theorems and Cosmological Applications.
    schema:name "London Mathematical Society Lecture Note Series, 389." ;
    schema:name "London Mathematical Society Lecture Note Series, 389 ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/836169620#Topic/mathematics_probability_&_statistics_general> # MATHEMATICS--Probability & Statistics--General
    a schema:Intangible ;
    schema:name "MATHEMATICS--Probability & Statistics--General"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/836169620#Topic/science_cosmology> # SCIENCE--Cosmology
    a schema:Intangible ;
    schema:name "SCIENCE--Cosmology"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85029280> # Compact groups
    a schema:Intangible ;
    schema:name "Compact groups"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85111347> # Random fields
    a schema:Intangible ;
    schema:name "Random fields"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85126596> # Spherical harmonics
    a schema:Intangible ;
    schema:name "Spherical harmonics"@en ;
    .

<http://id.worldcat.org/fast/1089800> # Random fields
    a schema:Intangible ;
    schema:name "Random fields"@en ;
    .

<http://id.worldcat.org/fast/1129683> # Spherical harmonics
    a schema:Intangible ;
    schema:name "Spherical harmonics"@en ;
    .

<http://id.worldcat.org/fast/871287> # Compact groups
    a schema:Intangible ;
    schema:name "Compact groups"@en ;
    .

<http://viaf.org/viaf/163967239> # Giovanni Peccati
    a schema:Person ;
    schema:birthDate "1975" ;
    schema:familyName "Peccati" ;
    schema:givenName "Giovanni" ;
    schema:name "Giovanni Peccati" ;
    .

<http://viaf.org/viaf/171836155> # Domenico Marinucci
    a schema:Person ;
    schema:familyName "Marinucci" ;
    schema:givenName "Domenico" ;
    schema:name "Domenico Marinucci" ;
    .

<http://worldcat.org/entity/work/data/836169620#CreativeWork/random_fields_on_the_sphere_representation_limit_theorems_and_cosmological_applications>
    a schema:CreativeWork ;
    rdfs:label "Random Fields on the Sphere : Representation, Limit Theorems and Cosmological Applications." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/769341761> ; # Random Fields on the Sphere Representation, Limit Theorems and Cosmological Applications.
    .

<http://worldcat.org/isbn/9780511751677>
    a schema:ProductModel ;
    schema:description "electronic book" ;
    schema:isbn "0511751672" ;
    schema:isbn "9780511751677" ;
    .

<http://worldcat.org/isbn/9781139115315>
    a schema:ProductModel ;
    schema:description "electronic bk." ;
    schema:isbn "1139115316" ;
    schema:isbn "9781139115315" ;
    .

<http://worldcat.org/isbn/9781139117487>
    a schema:ProductModel ;
    schema:isbn "1139117483" ;
    schema:isbn "9781139117487" ;
    .

<http://worldcat.org/isbn/9781139128148>
    a schema:ProductModel ;
    schema:description "electronic bk." ;
    schema:isbn "1139128140" ;
    schema:isbn "9781139128148" ;
    .

<http://worldcat.org/isbn/9781283296175>
    a schema:ProductModel ;
    schema:isbn "1283296179" ;
    schema:isbn "9781283296175" ;
    .

<http://www.worldcat.org/title/-/oclc/769341761>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/769341761> ; # Random Fields on the Sphere Representation, Limit Theorems and Cosmological Applications.
    schema:dateModified "2015-06-12" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Fenster schließen

Bitte in WorldCat einloggen 

Sie haben kein Konto? Sie können sehr einfach ein kostenloses Konto anlegen,.