The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  • Bakry, D.; Ledoux, M. Lévy-Gromov's isoperimetric inequality for an infinite-dimensional diffusion generator. Invent. Math. 123 (1996), no. 2, 259--281. MR1374200
  • Bobkov, S. G. An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space. Ann. Probab. 25 (1997), no. 1, 206--214. MR1428506
  • Borell, Christer. Geometric bounds on the Ornstein-Uhlenbeck velocity process. Z. Wahrsch. Verw. Gebiete 70 (1985), no. 1, 1--13. MR0795785
  • Burchard, A.; Schmuckenschläger, M. Comparison theorems for exit times. Geom. Funct. Anal. 11 (2001), no. 4, 651--692. MR1866798
  • Carlen, E. A.; Kerce, C. On the cases of equality in Bobkov's inequality and Gaussian rearrangement. Calc. Var. Partial Differential Equations 13 (2001), no. 1, 1--18. MR1854254
  • Eaton, Morris L. Multivariate statistics. A vector space approach. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons, Inc., New York, 1983. xvi+512 pp. ISBN: 0-471-02776-6 MR0716321
  • Ehrhard, Antoine. Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes. (French) [Isoperimetric inequalities and Gaussian Dirichlet integrals] Ann. Sci. École Norm. Sup. (4) 17 (1984), no. 2, 317--332. MR0760680
  • Isaksson, Marcus; Mossel, Elchanan. Maximally stable Gaussian partitions with discrete applications. Israel J. Math. 189 (2012), 347--396. MR2931402
  • S. Khot, G. Kindler, E. Mossel, and R. O'Donnell. Optimal inapproximability results for MAX-CUT and other 2-variable CSPs? In Proc. 45th Annu. IEEE Symp. Foundations of Computer Science, pages 146--154. IEEE, 2004.
  • G. Kindler and R. O'Donnell. Gaussian noise sensitivity and Fourier tails. In IEEE Conf. Computational Complexity, pages 137--147, 2012.
  • Ledoux, Michel. The geometry of Markov diffusion generators. Probability theory. Ann. Fac. Sci. Toulouse Math. (6) 9 (2000), no. 2, 305--366. MR1813804
  • Mossel, Elchanan. Gaussian bounds for noise correlation of functions. Geom. Funct. Anal. 19 (2010), no. 6, 1713--1756. MR2594620
  • E. Mossel and J. Neeman. Robust dimension free isoperimetry in Gaussian space. 2012.
  • Mossel, Elchanan; O'Donnell, Ryan; Oleszkiewicz, Krzysztof. Noise stability of functions with low influences: invariance and optimality. Ann. of Math. (2) 171 (2010), no. 1, 295--341. MR2630040
  • Raghavendra, Prasad. Optimal algorithms and inapproximability results for every CSP? [extended abstract]. STOC'08, 245--254, ACM, New York, 2008. MR2582901
  • Varopoulos, N. Th. Hardy-Littlewood theory for semigroups. J. Funct. Anal. 63 (1985), no. 2, 240--260. MR0803094


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.