Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Log-concave Measures and Geometry of Convex Bodies

2011/01/N/ST1/01839

Keywords:

log-concave measures convex bodies isoperimetry

Descriptors:

  • ST1_8: Analysis
  • ST1_13: Probability and statistics

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Piotr Nayar 

Number of co-investigators in the project: 2

Call: PRELUDIUM 1 - announced on 2011-03-15

Amount awarded: 43 680 PLN

Project start date (Y-m-d): 2011-12-15

Project end date (Y-m-d): 2013-12-14

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (3)
  • Book publications / chapters in book publications (1)
  1. A note on the Brunn-Minkowski inequality for the Gaussian measure
    Authors:
    Piotr Nayar, Tomasz Tkocz
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2013, tom: 141, strony: 4027-4030), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2013-11609-6 - link to the publication
  2. S-inequality for certain product measures
    Authors:
    Piotr Nayar, Tomasz Tkocz
    Academic press:
    Mathematische Nachrichten (rok: 2014, tom: 287 (4), strony: 398–404), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201200294 - link to the publication
  3. The unconditional case of the complex S-inequality
    Authors:
    Piotr Nayar, Tomasz Tkocz
    Academic press:
    Israel Journal of Mathematics (rok: 2013, tom: 197 (1), strony: 99-106), Wydawca: Springer US
    Status:
    Published
    DOI:
    10.1007/s11856-012-0178-x - link to the publication
  1. On a Loomis–Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies
    Authors:
    Piotr Nayar, Tomasz Tkocz
    Book:
    Geometric Aspects of Functional Analysis (rok: 2012, tom: Volume 2050, strony: 327-333), Wydawca: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    link to the publication

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