Approaching the Kannan-Lovász-Simonovits and variance conjectures:
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Lecture Notes in Mathematics
2131 |
| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (X, 148 S.) |
| ISBN: | 9783319132631 9783319132624 |
| ISSN: | 0075-8434 |
| DOI: | 10.1007/978-3-319-13263-1 |
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Record in the Search Index
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| adam_text | APPROACHING THE KANNAN-LOVASZ-SIMONOVITS AND VARIANCE CONJECTURES
/ ALONSO-GUTIERREZ, DAVID
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE CONJECTURES
MAIN EXAMPLES
RELATING THE CONJECTURES
APPENDIX
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
APPROACHING THE KANNAN-LOVASZ-SIMONOVITS AND VARIANCE CONJECTURES
/ ALONSO-GUTIERREZ, DAVID
: 2015
ABSTRACT / INHALTSTEXT
FOCUSING ON TWO CENTRAL CONJECTURES FROM THE FIELD OF ASYMPTOTIC
GEOMETRIC ANALYSIS, THE KANNAN-LOVASZ-SIMONOVITS SPECTRAL GAP
CONJECTURE AND THE VARIANCE CONJECTURE, THESE LECTURE NOTES PRESENT THE
THEORY IN AN ACCESSIBLE WAY, SO THAT INTERESTED READERS, EVEN THOSE WHO
ARE NOT EXPERTS IN THE FIELD, WILL BE ABLE TO APPRECIATE THE TOPICS
TREATED. EMPLOYING A STYLE SUITABLE FOR PROFESSIONALS WITH LITTLE
BACKGROUND IN ANALYSIS, GEOMETRY OR PROBABILITY, THE WORK GOES DIRECTLY
TO THE CONNECTION BETWEEN ISOPERIMETRIC-TYPE INEQUALITIES AND FUNCTIONAL
INEQUALITIES, ALLOWING READERS TO QUICKLY ACCESS THE CORE OF THESE
CONJECTURES. IN ADDITION, FOUR RECENT AND IMPORTANT RESULTS CONCERNING
THIS THEORY ARE PRESENTED. THE FIRST TWO ARE THEOREMS ATTRIBUTED TO
ELDAN-KLARTAG AND BALL-NGUYEN, WHICH RELATE THE VARIANCE AND THE KLS
CONJECTURES, RESPECTIVELY, TO THE HYPERPLANE CONJECTURE. THE REMAINING
TWO PRESENT IN DETAIL THE MAIN IDEAS NEEDED TO PROVE THE BEST KNOWN
ESTIMATE FOR THE THIN-SHELL WIDTH GIVEN BY GUEDON-MILMAN, AND AN
APPROACH TO ELDAN’S WORK ON THE CONNECTION BETWEEN THE THIN-SHELL
WIDTH AND THE KLS CONJECTURE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-13263-1 |
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| issn | 0075-8434 |
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| spelling | Alonso-Gutiérrez, David Verfasser (DE-588)1067475214 aut Approaching the Kannan-Lovász-Simonovits and variance conjectures David Alonso-Gutiérrez ; Jesús Bastero Cham [u.a.] Springer 2015 1 Online-Ressource (X, 148 S.) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Mathematics 2131 0075-8434 Mathematics Functional analysis Discrete groups Distribution (Probability theory) Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes Mathematik Banach-Raum (DE-588)4004402-6 gnd rswk-swf Asymptotik (DE-588)4126634-1 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s Asymptotik (DE-588)4126634-1 s DE-604 Bastero, Jesús Verfasser aut Lecture Notes in Mathematics 2131 (DE-604)BV014303148 2131 https://doi.org/10.1007/978-3-319-13263-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762863&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762863&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Alonso-Gutiérrez, David Bastero, Jesús Approaching the Kannan-Lovász-Simonovits and variance conjectures Lecture Notes in Mathematics Mathematics Functional analysis Discrete groups Distribution (Probability theory) Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes Mathematik Banach-Raum (DE-588)4004402-6 gnd Asymptotik (DE-588)4126634-1 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4126634-1 |
| title | Approaching the Kannan-Lovász-Simonovits and variance conjectures |
| title_auth | Approaching the Kannan-Lovász-Simonovits and variance conjectures |
| title_exact_search | Approaching the Kannan-Lovász-Simonovits and variance conjectures |
| title_full | Approaching the Kannan-Lovász-Simonovits and variance conjectures David Alonso-Gutiérrez ; Jesús Bastero |
| title_fullStr | Approaching the Kannan-Lovász-Simonovits and variance conjectures David Alonso-Gutiérrez ; Jesús Bastero |
| title_full_unstemmed | Approaching the Kannan-Lovász-Simonovits and variance conjectures David Alonso-Gutiérrez ; Jesús Bastero |
| title_short | Approaching the Kannan-Lovász-Simonovits and variance conjectures |
| title_sort | approaching the kannan lovasz simonovits and variance conjectures |
| topic | Mathematics Functional analysis Discrete groups Distribution (Probability theory) Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes Mathematik Banach-Raum (DE-588)4004402-6 gnd Asymptotik (DE-588)4126634-1 gnd |
| topic_facet | Mathematics Functional analysis Discrete groups Distribution (Probability theory) Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes Mathematik Banach-Raum Asymptotik |
| url | https://doi.org/10.1007/978-3-319-13263-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762863&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=027762863&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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