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Topic: Isoperimetry


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In the News (Wed 19 Jun 19)

  
  Isoperimetry of waists and local versus global asymptotic convex geometries, Roman Vershynin
Isoperimetry of waists and local versus global asymptotic convex geometries, Roman Vershynin
Isoperimetry of waists and local versus global asymptotic convex geometries
The main result represents a new connection between the local asymptotic convex geometry (study of sections of convex bodies) and the global asymptotic convex geometry (study of convex bodies as a whole).
projecteuclid.org /Dienst/UI/1.0/Summarize/euclid.dmj/1134666120   (427 words)

  
 A survey on the relationships between volume growth, isoperimetry, and the behavior of simple random walk on Cayley ...
A survey on the relationships between volume growth, isoperimetry, and the behavior of simple random walk on Cayley graphs, with examples (2001)
20 3 Consequences of isoperimetric inequalities 25 3.1 Isoperimetry and...
Random walk and isoperimetry on discrete subgroups of Lie..
citeseer.ist.psu.edu /pittet01survey.html   (346 words)

  
 Citebase - Asymptotic isoperimetry of balls in metric measure spaces
Asymptotic isoperimetry of balls in metric measure spaces
Authors: Tessera, R. In this paper, we study the asymptotic behavior of the volume of spheres in metric measure spaces.
We first introduce a general setting adapted to the study of asymptotic isoperimetry in a general class of metric measure spaces.
citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0506363   (187 words)

  
 Matches for:   (Site not responding. Last check: 2007-10-10)
Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology.
Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications.
Graduate students and research mathematicians interested in probability theory, functional analysis, isoperimetry, partial differential equations, and meteorology.
www.mathaware.org /bookstore?fn=20&arg1=gsmseries&item=GSM-58   (274 words)

  
 Pappus on the wisdom of bees   (Site not responding. Last check: 2007-10-10)
Zenodorus had earlier written a treatise on isoperimetry.
The theorems which follow this preface attempt to prove that of all solid figures with a fixed surface area, the sphere has the greatest volume.
Bees, then, know just this fact which is of service to themselves, that the hexagon is greater than the square and the triangle and will hold more honey for the same expenditure of material used in constructing the different figures.
www-groups.dcs.st-and.ac.uk /~history/Extras/Pappus_wisdom_of_bees.html   (443 words)

  
 isoperimetry - OneLook Dictionary Search
We found 8 dictionaries with English definitions that include the word isoperimetry:
Tip: Click on the first link on a line below to go directly to a page where "isoperimetry" is defined.
Isoperimetry : Online Plain Text English Dictionary [home, info]
onelook.com /?w=isoperimetry   (116 words)

  
 Jakob Bernoulli Gottfried Leibniz scientist mathematician Johann Bernoulli Robert Boyle MacTutor biography Basel ...   (Site not responding. Last check: 2007-10-10)
He corresponded with Gottfried Leibniz, and thus learnt calculus, and collaborated with his brother Johann.
His early papers on transcendental curves (1696) and isoperimetry (1700, 1701) are early examples of its application.
His masterwork was Ars Conjectandi (the Art of Conjecturing), a groundbreaking work on probability theory.
en.powerwissen.com /sD2LAeO7VsBP||SL||7Xe7yEP0g==_Jakob_Bernoulli.html   (230 words)

  
 Random walk and isoperimetry on discrete subgroups of Lie groups - Ch, -Coste (ResearchIndex)
Random walk and isoperimetry on discrete subgroups of Lie groups (1999)
and Salo -Coste L. (1999) Random walk and isoperimetry on discrete subgroups of Lie groups.
In Random walks and discrete potential theory, M. Picardello and W. Woess Eds., Symposia Mathematica XXXIX, 306-319, Cambridge University Press.
citeseer.ist.psu.edu /pittet99random.html   (613 words)

  
 Isoperimetry for Gibbs Measures, Bogusław Zegarlinski
We show that a strong mixing condition implies a Bakry-Bobkov-Ledoux inequality for a probability measure on infinite-dimensional space.
Keywords: Isoperimetry; functional inequalities; probability measures on infinite dimensional spaces
[17] Talagrand,M. Isoperimetry, logarithmic Sobolev inequalities on discrete cube and Margulis' graph connectivity theorem.
projecteuclid.org /Dienst/UI/1.0/Summarize/euclid.aop/1008956693   (321 words)

  
 Amazon.co.uk: Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse Der Mathematik Und Ihrer ...   (Site not responding. Last check: 2007-10-10)
Amazon.co.uk: Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete, 3 Folge/A Series of Modern Surveys in Mathematics): Books: Michel Ledoux,Michel Talagrand
Its purpose is to present some of the main aspects of this theory, from the foundations to the latest developments, treated with the most recent and updated tools.
In particular, the most important features are the systematic use of isoperimetry and related concentration of measure phenomena (to study integrability and limit theorems for vector valued random variables), and recent abstract random process techniques (entropy and majorizing measures).
amazon.co.uk /exec/obidos/ASIN/3540520139   (348 words)

  
 [No title]   (Site not responding. Last check: 2007-10-10)
PLACE: Room 614 on the 6th floor of the Science & Education Building (opposite the main building), University of Haifa.
ABSTRACT: We will present a localization lemma of Lovasz and Simonovits and presents some applications to isoperimetry.
Moreover, we will explain why this result may be seen as a consequence of Krein-Milman theorem and will explain some possible generalization.
www.math.technion.ac.il /~techm/20051115161020051115gue   (123 words)

  
 Citebase - On random intersections of two convex bodies. Appendix to: "Isoperimetry of waists and local versus global ...
Citebase - On random intersections of two convex bodies.
In the paper "Isoperimetry of waists and local versus global asymptotic convex geometries", it was proved that the existence of nicely bounded sections of two symmetric convex bodies K and L implies that the intersection of randomly rotated K and L is nicely bounded.
In this appendix, we achieve a polynomial bound on the diameter of that intersection (in the ratio of the dimensions of the sections).
citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0404502   (157 words)

  
 DC MetaData for: Some Remarks on Isoperimetry of Gaussian Type   (Site not responding. Last check: 2007-10-10)
DC MetaData for: Some Remarks on Isoperimetry of Gaussian Type
Abstract: We give a martingale proof of Gaussian isoperimetry, which
Bobkov's inequality for the sphere and to get new isoperimetric estimates
www.esi.ac.at /Preprint-shadows/esi721.html   (75 words)

  
 Random Weighting, Asymptotic Counting, and Inverse Isoperimetry (ResearchIndex)
Random Weighting, Asymptotic Counting, and Inverse Isoperimetry (ResearchIndex)
Random Weighting, Asymptotic Counting, and Inverse Isoperimetry (2003)
@misc{ barvinok-random, author = "Alexander Barvinok and Alex Samorodnitsky", title = "Random Weighting, Asymptotic Counting, and Inverse Isoperimetry", url = "citeseer.ist.psu.edu/barvinok03random.html" }
citeseer.ist.psu.edu /barvinok03random.html   (362 words)

  
 Amazon.com: Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse der Mathematik und ihrer Grenzgebiete. ...   (Site not responding. Last check: 2007-10-10)
Amazon.com: Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse der Mathematik und ihrer Grenzgebiete.
Learn how Amazon can help you make this book an eBook.
Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse der Mathematik und ihrer Grenzgebiete.
www.amazon.com /exec/obidos/ASIN/3540520139   (761 words)

  
 Probability in Banach Spaces: Isoperimetry and Processes:0387520139:Ledoux, Michel; Talagrand, Michel:eCampus.com
Probability in Banach Spaces: Isoperimetry and Processes:0387520139:Ledoux, Michel; Talagrand, Michel:eCampus.com
New Copy: In Stock Usually Ships in 24 Hours.
Student Solutions Manual to accompany Finite Mathematics: An...
www.ecampus.com /bk_detail.asp?isbn=0387520139   (62 words)

  
 HAL :: BROWSE   (Site not responding. Last check: 2007-10-10)
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry.
We introduce and study a notion of Orlicz hypercontractive semigroups.
keyword(s) : Isoperimetry – Orlicz spaces – Hypercontractivity – Boltzmann measure – Girsanov Transform – F-Sobolev inequalities
hal.ccsd.cnrs.fr /ccsd-00002203/en   (253 words)

  
 AddALL.com - Probability in Banach Spaces: Isoperimetry and Processes
AddALL.com - Probability in Banach Spaces: Isoperimetry and Processes
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If you cannot find this book in our new and in print search, be sure to try our used and out of print search too!
www.addall.com /detail/0387520139.html   (57 words)

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