TY - JOUR

T1 - Logarithmically-concave moment measures i

AU - Klartag, Boaz

N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2014.

PY - 2014

Y1 - 2014

N2 - We discuss a certain Riemannian metric, related to the toric Kähler-Einstein equation, that is associated in a linearly-invariant manner with a given log-concave measure in Rn. We use this metric in order to bound the second derivatives of the solution to the toric Kähler-Einstein equation, and in order to obtain spectral-gap estimates similar to those of Payne and Weinberger.

AB - We discuss a certain Riemannian metric, related to the toric Kähler-Einstein equation, that is associated in a linearly-invariant manner with a given log-concave measure in Rn. We use this metric in order to bound the second derivatives of the solution to the toric Kähler-Einstein equation, and in order to obtain spectral-gap estimates similar to those of Payne and Weinberger.

UR - http://www.scopus.com/inward/record.url?scp=84921862191&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-09477-9_16

DO - 10.1007/978-3-319-09477-9_16

M3 - מאמר

AN - SCOPUS:84921862191

VL - 2116

SP - 231

EP - 260

JO - Lecture Notes in Mathematics

JF - Lecture Notes in Mathematics

SN - 0075-8434

ER -