Bessel processes, Schramm–Loewner evolution, and the Dyson model:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
Springer
[2016]
|
| Schriftenreihe: | SpringerBriefs in mathematical physics
volume 11 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Abstract Inhaltsverzeichnis |
| Beschreibung: | 1 Online Ressource (X, 141 Seiten, 16 illus. in color) |
| ISBN: | 9789811002755 |
| ISSN: | 2197-1757 |
| DOI: | 10.1007/978-981-10-0275-5 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043422926 | ||
| 003 | DE-604 | ||
| 005 | 20220311 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 160302s2016 |||| o||u| ||||||eng d | ||
| 020 | |a 9789811002755 |c Online |9 978-981-10-0275-5 | ||
| 024 | 7 | |a 10.1007/978-981-10-0275-5 |2 doi | |
| 035 | |a (OCoLC)943782086 | ||
| 035 | |a (DE-599)BVBBV043422926 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-19 |a DE-20 |a DE-739 |a DE-634 |a DE-898 |a DE-703 |a DE-861 |a DE-824 |a DE-83 | ||
| 082 | 0 | |a 530.15 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Katori, Makoto |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Bessel processes, Schramm–Loewner evolution, and the Dyson model |c Makoto Katori |
| 264 | 1 | |a Singapore |b Springer |c [2016] | |
| 264 | 4 | |c © 2016 | |
| 300 | |a 1 Online Ressource (X, 141 Seiten, 16 illus. in color) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a SpringerBriefs in mathematical physics |v volume 11 |x 2197-1757 | |
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Statistical physics | |
| 650 | 4 | |a Dynamical systems | |
| 650 | 4 | |a Mathematical Physics | |
| 650 | 4 | |a Probability Theory and Stochastic Processes | |
| 650 | 4 | |a Statistical Physics, Dynamical Systems and Complexity | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematische Physik | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-981-10-0274-8 |
| 830 | 0 | |a SpringerBriefs in mathematical physics |v volume 11 |w (DE-604)BV041997379 |9 11 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-981-10-0275-5 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840818&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840818&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 912 | |a ZDB-2-SMA | ||
| 940 | 1 | |q ZDB-2-SMA_2016 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028840818 | ||
| 966 | e | |u https://doi.org/10.1007/978-981-10-0275-5 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-981-10-0275-5 |l FHR01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-981-10-0275-5 |l FRO01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-981-10-0275-5 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-981-10-0275-5 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-981-10-0275-5 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-981-10-0275-5 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-981-10-0275-5 |l UEI01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-981-10-0275-5 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176017855610880 |
|---|---|
| adam_text | BESSEL PROCESSES, SCHRAMM–LOEWNER EVOLUTION, AND THE DYSON MODEL
/ KATORI, MAKOTO
: 2016
ABSTRACT / INHALTSTEXT
THE PURPOSE OF THIS BOOK IS TO INTRODUCE TWO RECENT TOPICS IN
MATHEMATICAL PHYSICS AND PROBABILITY THEORY: THE SCHRAMM–LOEWNER
EVOLUTION (SLE) AND INTERACTING PARTICLE SYSTEMS RELATED TO RANDOM
MATRIX THEORY. A TYPICAL EXAMPLE OF THE LATTER SYSTEMS IS DYSON S
BROWNIAN MOTION (BM) MODEL. THE SLE AND DYSON S BM MODEL MAY BE
CONSIDERED AS CHILDREN OF THE BESSEL PROCESS WITH PARAMETER D, BES(D),
AND THE SLE AND DYSON S BM MODEL AS GRANDCHILDREN OF BM. IN CHAP. 1
THE PARENTHOOD OF BM IN DIFFUSION PROCESSES IS CLARIFIED AND BES(D) IS
DEFINED FOR ANY D ≥ 1. DEPENDENCE OF THE BES(D) PATH ON ITS INITIAL
VALUE IS REPRESENTED BY THE BESSEL FLOW. IN CHAP. 2 SLE IS INTRODUCED AS
A COMPLEXIFICATION OF BES(D). RICH MATHEMATICS AND PHYSICS INVOLVED IN
SLE ARE DUE TO THE NONTRIVIAL DEPENDENCE OF THE BESSEL FLOW ON D. FROM A
RESULT FOR THE BESSEL FLOW, CARDY S FORMULA IN CARLESON S FORM IS
DERIVED FOR SLE. IN CHAP. 3 DYSON S BM MODEL WITH PARAMETER Β IS
INTRODUCED AS A MULTIVARIATE EXTENSION OF BES(D) WITH THE RELATION D =
Β + 1. THE BOOK CONCENTRATES ON THE CASE WHERE Β = 2 AND CALLS THIS
CASE SIMPLY THE DYSON MODEL. THE DYSON MODEL INHERITS THE TWO ASPECTS OF
BES(3); HENCE IT HAS VERY STRONG SOLVABILITY. THAT IS, THE PROCESS IS
PROVED TO BE DETERMINANTAL IN THE SENSE THAT ALL SPATIO-TEMPORAL
CORRELATION FUNCTIONS ARE GIVEN BY DETERMINANTS, AND ALL OF THEM ARE
CONTROLLED BY A SINGLE FUNCTION CALLED THE CORRELATION KERNEL. FROM THE
DETERMINANTAL STRUCTURE OF THE DYSON MODEL, THE TRACY–WIDOM
DISTRIBUTION IS DERIVED.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
BESSEL PROCESSES, SCHRAMM–LOEWNER EVOLUTION, AND THE DYSON MODEL
/ KATORI, MAKOTO
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
1 BESSEL PROCESS
2 SCHRAMM-LOEWNER EVOLUTION (SLE)
3 DYSON MODEL
REFERENCES
SOLUTIONS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Katori, Makoto |
| author_facet | Katori, Makoto |
| author_role | aut |
| author_sort | Katori, Makoto |
| author_variant | m k mk |
| building | Verbundindex |
| bvnumber | BV043422926 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)943782086 (DE-599)BVBBV043422926 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-981-10-0275-5 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03096nmm a2200625zcb4500</leader><controlfield tag="001">BV043422926</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220311 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">160302s2016 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789811002755</subfield><subfield code="c">Online</subfield><subfield code="9">978-981-10-0275-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-981-10-0275-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)943782086</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043422926</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.15</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Katori, Makoto</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Bessel processes, Schramm–Loewner evolution, and the Dyson model</subfield><subfield code="c">Makoto Katori</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">Springer</subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2016</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online Ressource (X, 141 Seiten, 16 illus. in color)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">SpringerBriefs in mathematical physics</subfield><subfield code="v">volume 11</subfield><subfield code="x">2197-1757</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probabilities</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probability Theory and Stochastic Processes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistical Physics, Dynamical Systems and Complexity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-981-10-0274-8</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">SpringerBriefs in mathematical physics</subfield><subfield code="v">volume 11</subfield><subfield code="w">(DE-604)BV041997379</subfield><subfield code="9">11</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840818&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840818&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_2016</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028840818</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="l">FHR01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="l">UEI01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-981-10-0275-5</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043422926 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:25:30Z |
| institution | BVB |
| isbn | 9789811002755 |
| issn | 2197-1757 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028840818 |
| oclc_num | 943782086 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-20 DE-739 DE-634 DE-898 DE-BY-UBR DE-703 DE-861 DE-824 DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-20 DE-739 DE-634 DE-898 DE-BY-UBR DE-703 DE-861 DE-824 DE-83 |
| physical | 1 Online Ressource (X, 141 Seiten, 16 illus. in color) |
| psigel | ZDB-2-SMA ZDB-2-SMA_2016 |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer |
| record_format | marc |
| series | SpringerBriefs in mathematical physics |
| series2 | SpringerBriefs in mathematical physics |
| spelling | Katori, Makoto Verfasser aut Bessel processes, Schramm–Loewner evolution, and the Dyson model Makoto Katori Singapore Springer [2016] © 2016 1 Online Ressource (X, 141 Seiten, 16 illus. in color) txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematical physics volume 11 2197-1757 Mathematics Probabilities Mathematical physics Statistical physics Dynamical systems Mathematical Physics Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Mathematik Mathematische Physik Erscheint auch als Druckausgabe 978-981-10-0274-8 SpringerBriefs in mathematical physics volume 11 (DE-604)BV041997379 11 https://doi.org/10.1007/978-981-10-0275-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840818&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840818&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Katori, Makoto Bessel processes, Schramm–Loewner evolution, and the Dyson model SpringerBriefs in mathematical physics Mathematics Probabilities Mathematical physics Statistical physics Dynamical systems Mathematical Physics Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Mathematik Mathematische Physik |
| title | Bessel processes, Schramm–Loewner evolution, and the Dyson model |
| title_auth | Bessel processes, Schramm–Loewner evolution, and the Dyson model |
| title_exact_search | Bessel processes, Schramm–Loewner evolution, and the Dyson model |
| title_full | Bessel processes, Schramm–Loewner evolution, and the Dyson model Makoto Katori |
| title_fullStr | Bessel processes, Schramm–Loewner evolution, and the Dyson model Makoto Katori |
| title_full_unstemmed | Bessel processes, Schramm–Loewner evolution, and the Dyson model Makoto Katori |
| title_short | Bessel processes, Schramm–Loewner evolution, and the Dyson model |
| title_sort | bessel processes schramm loewner evolution and the dyson model |
| topic | Mathematics Probabilities Mathematical physics Statistical physics Dynamical systems Mathematical Physics Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Mathematik Mathematische Physik |
| topic_facet | Mathematics Probabilities Mathematical physics Statistical physics Dynamical systems Mathematical Physics Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Mathematik Mathematische Physik |
| url | https://doi.org/10.1007/978-981-10-0275-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840818&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840818&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV041997379 |
| work_keys_str_mv | AT katorimakoto besselprocessesschrammloewnerevolutionandthedysonmodel |