The Sprawl Conjecture for Convex Bodies

References

• Brascamp , [Brascamp et al. 74 H. J. , Lieb , E. H. and Luttinger , J. M. 1974 . A General Rearrangement Inequality for Multiple Integrals . J. Functional Analysis , 17 : 227 – 237 .
   Google Scholar
• Burago , [Burago 92] D. Y. 1992 . Periodic Metrics . Representation Theory and Dynamical Systems, Adv. Soviet Math. , 9 : 205 – 210 . Amer. Math. Soc.
   Google Scholar
• Dowdall , [Dowdall et al. 11a] S. , Duchin , M. and Masur , H. 2011 . Spheres in the Curve Complex . math.GT/1109.6338
   Google Scholar
• Dowdall , [Dowdall et al. 11b] S. , Duchin , M. and Masur , H. 2011 . Statistical Hyperbolicity in Teichmüller Space . math.GR/1108.5416
   Google Scholar
• Duchin , [Duchin et al. 12a] M. , Lelièvre , S. and Mooney , C. 2012 . The Geometry of Spheres in Free Abelian Groups . Geom. Dedicata , 161 : 169 – 187 .
   Google Scholar
• Duchin , [Duchin et al. 12b] M. , Lelièvre , S. and Mooney , C. 2012 . Statistical Hyperbolicity in Groups . Algebr. Geom. Topol. , 12 : 1 – 18 .
   Google Scholar
• Eskin , [Eskin et al. 98] A. , Margulis , G. and Mozes , S. 1998 . Upper Bounds and Asymptotics in a Quantitative Version of the Oppenheim Conjecture . Ann. of Math. (2) , 147 : 93 – 141 .
   Google Scholar
• Gluskin , [Gluskin and Milman 02] E. and Milman , V. 2002 . Randomizing Properties of Convex High-Dimensional Bodies and Some Geometric Inequalities . C. R. Math. Acad. Sci. Paris , 334 : 875 – 879 .
   Google Scholar
• Ollivier , [Ollivier 07] Y. 2007 . Ricci Curvature of Metric Spaces . C. R. Math. Acad. Sci. Paris , 345 : 643 – 646 .
   Google Scholar
• Willerton , [Willerton 12] S. 2012 . Spread: A Measure of the Size of Metric Spaces . arXiv:1209.2300
   Google Scholar