<div class="csl-bib-body">
<div class="csl-entry">Armeniakos, S. (2024, April 18). <i>Isoperimetry for log-concave measures in the Euclidean Space</i> [Presentation]. privatissimum of the research units for Convex and Discrete Geometry and Geometric Analysis, Wien, Austria.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/204311
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dc.description
Privatissimum
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dc.description.abstract
For a metric measure space and a probability measure μ we can define the
Minkowski content of a measurable set as:
μ+(A) = lim inf
s→0+
μ(As) − μ(A)
s
.
For such a space we can define the isoperimetric profile in accordance with
the classical isoperimetric profile through:
Iμ(t) = inf{μ+(A) : ABorel, μ(A) = t}
An equivalent formulation of the so called Kannan - Lovasz - Simmonovits
conjecture, is that the isoperimetric profile is bounded from below by a constant
independent of the dimension for log-concave measures in Rd .
In this talk, we will present shortly the main results towards the proof of
this conjecture, and we will prove that the concture holds up to a polylog.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
-
dc.subject
Metric space
en
dc.subject
convex geometry
en
dc.title
Isoperimetry for log-concave measures in the Euclidean Space
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.relation.grantno
P 36344N
-
dc.type.category
Presentation
-
tuw.project.title
Unilateralität und Asymmetrie in der Variationsanalyse
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tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
-
tuw.researchTopic.value
100
-
tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
tuw.event.name
privatissimum of the research units for Convex and Discrete Geometry and Geometric Analysis
en
tuw.event.startdate
18-04-2024
-
tuw.event.enddate
18-04-2024
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Wien
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tuw.event.country
AT
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tuw.event.institution
TU Wien
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tuw.event.presenter
Armeniakos, Sotirios
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
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item.languageiso639-1
en
-
item.openairetype
conference presentation
-
item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/R60J-J5BD
-
crisitem.author.dept
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
