Noncommutative probability and random matrices at Saint-Flour: [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)]
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2012
|
| Schriftenreihe: | Probability at Saint-Flour
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | VIII, 472 S. graph. Darst. 24 cm |
| ISBN: | 9783642327988 3642327982 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV041616859 | ||
| 003 | DE-604 | ||
| 005 | 20140213 | ||
| 007 | t | ||
| 008 | 140131s2012 gw d||| |||| 00||| eng d | ||
| 016 | 7 | |a 102454883X |2 DE-101 | |
| 020 | |a 9783642327988 |9 978-3-642-32798-8 | ||
| 020 | |a 3642327982 |9 3-642-32798-2 | ||
| 035 | |a (OCoLC)820466587 | ||
| 035 | |a (DE-599)DNB102454883X | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-11 | ||
| 082 | 0 | |a 519.2 |2 22/ger | |
| 084 | |a SK 800 |0 (DE-625)143256: |2 rvk | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Biane, Philippe |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Noncommutative probability and random matrices at Saint-Flour |b [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] |c Philippe Biane ; Alice Guionnet ; Dan-Virgil Voiculescu |
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c 2012 | |
| 300 | |a VIII, 472 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Probability at Saint-Flour | |
| 500 | |a Literaturangaben | ||
| 650 | 0 | 7 | |a Stochastische Matrix |0 (DE-588)4057624-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtkommutative Wahrscheinlichkeit |0 (DE-588)4362758-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Aufsatzsammlung |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Nichtkommutative Wahrscheinlichkeit |0 (DE-588)4362758-4 |D s |
| 689 | 0 | 1 | |a Stochastische Matrix |0 (DE-588)4057624-3 |D s |
| 689 | 0 | 2 | |a Aufsatzsammlung |A f |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Guionnet, Alice |e Verfasser |0 (DE-588)137799268 |4 aut | |
| 700 | 1 | |a Voiculescu, Dan |d 1949- |e Verfasser |0 (DE-588)122093968 |4 aut | |
| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=4091997&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027057963&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027057963 | |
Datensatz im Suchindex
| _version_ | 1809769159108591616 |
|---|---|
| adam_text |
IMAGE 1
TABLE O F CONTENTS
CALCUL STOCHASTIQUE NON-COMMUTATIF 1
PHILIPPE B I A N E
INTRODUCTION 4
1. E S P A C E S D E PROBABILITY N O N - C O M M U T A T I F S FINIS 11
2. T H E O R I E SPECTRALE 2 2
3. V A R I A B L E S D E G A U S S ET D E POISSON E T RELATIONS D E C O
M M U T A T I O N 2 8
4. E S P A C E S D E F O C K 4 1
5. INTEGRATION STOCHASTIQUE N O N - C O M M U T A T I V E 5 2
6. A P P L I C A T I O N S D U CALCUL S T O C H A S T I Q U E N O N - C
O M M U T A T I F 7 2
C O M M E N T A I R E S E T BIBLIOGRAPHIE 8 9
R E F E R E N C E S 9 3
LECTURES ON FREE PROBABILITY THEORY 97
D A N V O I C U L E S C U
0. INTRODUCTION 101
1. N O N C O M M U T A T I V E PROBABILITY A N D O P E R A T O R A L G E
B R A B A C K G R O U N D 102
2. A D D I T I O N O F FREELY I N D E P E N D E N T N O N C O M M U T A
T I V E R A N D O M VARIABLES 1 12
3. MULTIPLICATION O F FREELY I N D E P E N D E N T N O N C O M M U T A T
I V E R A N D O M VARIABLES 126
4. G E N E R A L I Z E D C A N O N I C A L FORM, N O N C R O S S I N G
PARTITIONS 131
5. FREE I N D E P E N D E N C E W I T H A M A L G A M A T I O N 134
6. S O M E BASIC FREE PROCESSES 137
7. R A N D O M MATRICES IN THE L A R G E N LIMIT 143
8. FREE E N T R O P Y 150
REFERENCES 164
LARGE RANDOM MATRICES: LECTURES ON MACROSCOPIC ASYMPTOTICS 169
ALICE G U I O N N E T
INTRODUCTION 179
1. W I G N E R ' S T H E O R E M 185
2. W I G N E R ' S M A T R I C E S ; M O R E M O M E N T S E S T I M A T
E S 2 0 7
3. W O R D S IN SEVERAL I N D E P E N D E N T W I G N E R M A T R I C E
S 2 1 9
4. C O N C E N T R A T I O N INEQUALITIES A N D L O G A R I T H M I C S
O B O L E V INEQUALITIES 2 2 7
5. GENERALIZATIONS 2 3 7
6. C O N C E N T R A T I O N INEQUALITIES F O R R A N D O M M A T R I C
E S 2 4 3
7. M A P S A N D G A U S S I A N C A L C U L U S 2 7 1
V I I
HTTP://D-NB.INFO/102454883X
IMAGE 2
VLLL
T A B L E O F C O N T E N T S
8. FIRST-ORDER E X P A N S I O N 2 8 7
9. S E C O N D - O R D E R E X P A N S I O N F O R T H E FREE E N E R G
Y 2 9 9
10. L A R G E D E V I A T I O N S F O R T H E L A W O F T H E SPECTRAL M
E A S U R E O F G A U S S I A N W I G N E R ' S MATRICES 3 2 7
11. L A R G E D E V I A T I O N S O F T H E M A X I M U M E I G E N V A
L U E 3 3 7
12. STOCHASTIC A N A L Y S I S F O R R A N D O M M A T R I C E S 3 4 5
13. LARGE DEVIATION PRINCIPLE F O R T H E L A W O F T H E SPECTRAL M E A
S U R E O F SHIFTED W I G N E R M A T R I C E S 3 6 1
14. A S Y M P T O T I C S O F H A R I S H - C H A N D R A - I T Z Y K S
O N - Z U B E R INTEGRALS A N D O F S C H U R P O L Y N O M I A L S 3 8
9
15. A S Y M P T O T I C S O F S O M E M A T R I X INTEGRALS 3 9 5
16. FREE PROBABILITY SETTING 4 0 5
17. FREENESS 4 0 9
18. FREE ENTROPY 4 2 3
19. BASICS O F MATRICES 4 4 1
20. BASICS O F PROBABILITY T H E O R Y 4 4 5
REFERENCES 4 5 3
INDEX 4 6 5
LIST O F PARTICIPANTS O F T H E S U M M E R S C H O O L 4 6 7
LIST O F S H O R T LECTURES G I V E N A T T H E S U M M E R S C H O O L
4 7 1 |
| any_adam_object | 1 |
| author | Biane, Philippe Guionnet, Alice Voiculescu, Dan 1949- |
| author_GND | (DE-588)137799268 (DE-588)122093968 |
| author_facet | Biane, Philippe Guionnet, Alice Voiculescu, Dan 1949- |
| author_role | aut aut aut |
| author_sort | Biane, Philippe |
| author_variant | p b pb a g ag d v dv |
| building | Verbundindex |
| bvnumber | BV041616859 |
| classification_rvk | SK 800 |
| ctrlnum | (OCoLC)820466587 (DE-599)DNB102454883X |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV041616859</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140213</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">140131s2012 gw d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">102454883X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642327988</subfield><subfield code="9">978-3-642-32798-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3642327982</subfield><subfield code="9">3-642-32798-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)820466587</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB102454883X</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.2</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 800</subfield><subfield code="0">(DE-625)143256:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Biane, Philippe</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Noncommutative probability and random matrices at Saint-Flour</subfield><subfield code="b">[reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)]</subfield><subfield code="c">Philippe Biane ; Alice Guionnet ; Dan-Virgil Voiculescu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Heidelberg</subfield><subfield code="b">Springer</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 472 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">24 cm</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Probability at Saint-Flour</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturangaben</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastische Matrix</subfield><subfield code="0">(DE-588)4057624-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtkommutative Wahrscheinlichkeit</subfield><subfield code="0">(DE-588)4362758-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Aufsatzsammlung</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtkommutative Wahrscheinlichkeit</subfield><subfield code="0">(DE-588)4362758-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Stochastische Matrix</subfield><subfield code="0">(DE-588)4057624-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Aufsatzsammlung</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Guionnet, Alice</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)137799268</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Voiculescu, Dan</subfield><subfield code="d">1949-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)122093968</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=4091997&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</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=027057963&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027057963</subfield></datafield></record></collection> |
| genre | Aufsatzsammlung gnd |
| genre_facet | Aufsatzsammlung |
| id | DE-604.BV041616859 |
| illustrated | Illustrated |
| indexdate | 2024-09-10T01:06:03Z |
| institution | BVB |
| isbn | 9783642327988 3642327982 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027057963 |
| oclc_num | 820466587 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | VIII, 472 S. graph. Darst. 24 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| series2 | Probability at Saint-Flour |
| spelling | Biane, Philippe Verfasser aut Noncommutative probability and random matrices at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] Philippe Biane ; Alice Guionnet ; Dan-Virgil Voiculescu Berlin ; Heidelberg Springer 2012 VIII, 472 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Probability at Saint-Flour Literaturangaben Stochastische Matrix (DE-588)4057624-3 gnd rswk-swf Nichtkommutative Wahrscheinlichkeit (DE-588)4362758-4 gnd rswk-swf Aufsatzsammlung gnd rswk-swf Nichtkommutative Wahrscheinlichkeit (DE-588)4362758-4 s Stochastische Matrix (DE-588)4057624-3 s Aufsatzsammlung f DE-604 Guionnet, Alice Verfasser (DE-588)137799268 aut Voiculescu, Dan 1949- Verfasser (DE-588)122093968 aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4091997&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027057963&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Biane, Philippe Guionnet, Alice Voiculescu, Dan 1949- Noncommutative probability and random matrices at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] Stochastische Matrix (DE-588)4057624-3 gnd Nichtkommutative Wahrscheinlichkeit (DE-588)4362758-4 gnd |
| subject_GND | (DE-588)4057624-3 (DE-588)4362758-4 |
| title | Noncommutative probability and random matrices at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] |
| title_auth | Noncommutative probability and random matrices at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] |
| title_exact_search | Noncommutative probability and random matrices at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] |
| title_full | Noncommutative probability and random matrices at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] Philippe Biane ; Alice Guionnet ; Dan-Virgil Voiculescu |
| title_fullStr | Noncommutative probability and random matrices at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] Philippe Biane ; Alice Guionnet ; Dan-Virgil Voiculescu |
| title_full_unstemmed | Noncommutative probability and random matrices at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] Philippe Biane ; Alice Guionnet ; Dan-Virgil Voiculescu |
| title_short | Noncommutative probability and random matrices at Saint-Flour |
| title_sort | noncommutative probability and random matrices at saint flour reprint of lectures originally published in the lecture notes in mathematics volumes 1608 1995 1738 2000 and 1957 2009 |
| title_sub | [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1738 (2000) and 1957 (2009)] |
| topic | Stochastische Matrix (DE-588)4057624-3 gnd Nichtkommutative Wahrscheinlichkeit (DE-588)4362758-4 gnd |
| topic_facet | Stochastische Matrix Nichtkommutative Wahrscheinlichkeit Aufsatzsammlung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4091997&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027057963&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bianephilippe noncommutativeprobabilityandrandommatricesatsaintflourreprintoflecturesoriginallypublishedinthelecturenotesinmathematicsvolumes1608199517382000and19572009 AT guionnetalice noncommutativeprobabilityandrandommatricesatsaintflourreprintoflecturesoriginallypublishedinthelecturenotesinmathematicsvolumes1608199517382000and19572009 AT voiculescudan noncommutativeprobabilityandrandommatricesatsaintflourreprintoflecturesoriginallypublishedinthelecturenotesinmathematicsvolumes1608199517382000and19572009 |