Tag: Minkowski

Brunn-Minkowski inequality for θ-convolution bodies via Ball’s bodies(arXiv) Author : Brunn-Minkowski inequality for θ-convolution bodies via Ball’s bodies Abstract : We consider the problem of finding the best function φn:[0,1]→R such that for any pair of...

Abstract : In the setting of essentially non-branching metric measure spaces, we prove the equivalence between the curvature dimension condition CD(K,N), in the sense of Lott — Sturm — Villani, and a newly introduced notion that we call strong Brunn — Minkowski inequality SBM(K,N)....

Abstract : The present paper investigates the sub-Riemannian version of the equivalence between the curvature-dimension conditions and strong Brunn-Minkowski inequalities in the sub-Riemannian Heisenberg group Hn. We adopt the optimal transport and approximation of Hn developed by Ambrosio and Rigot...

Abstract : In this paper, we put forward an argument which leads from the Brunn-Minkowski inequality to a class of Poincaré-type inequality for torsional rigidity on the boundary of a convex body of class C2+ in $\rnnn$ 2.The Reverse-log-Brunn-Minkowski inequality (arXiv) Abstract : Fir...

The study of the angular power spectrum of Cosmic Microwave Background (CMB) anisotropies, both in intensity and in polarisation, has led to the tightest constraints on cosmological parameters. However, this statistical quantity is not sensitive to any deviation from Gaussianity and statistical isot...

Time slowing down near massive objects was verified accurately near the Earth: second (time unit) is about nanosecond dilated (longer) near the Earth than away from the Earth. Even in GPS satellites that use atomic clocks for geolocation, such clocks are almost half a nanosecond per second fast...

Time slowing down near massive objects was verified accurately near the Earth: second (time unit) is about nanosecond dilated (longer) near the Earth than away from the Earth. Even in GPS satellites that use atomic clocks for geolocation, such clocks are almost half a nanosecond per second fast...