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TL;DR: In this article, the authors studied the volume of symmetric slabs in the unit cube and showed that the slab parallel to a face has the minimal volume among all symmetric slab with width t. The proof is based on certain concavity properties of the Laplace transform and on several limit theorems from probability.
47 citations
TL;DR: For a fixed H, it is proved that the ratio vol(PH Bpn)/ vol(Bpn-1) is non-decreasing in p∈[1,+∈fty] .
Abstract: Let B p n ={x?\R n ;\; \sum i=1 n |x i | p ≤ 1} , 1≤ p\le+?fty . We study the extreme values of the volume of the orthogonal projection of B p n onto hyperplanes H\subset \R n . For a fixed H , we prove that the ratio vol(P H B p n )/ vol(B p n-1 ) is non-decreasing in p?[1,+?fty] .
47 citations
TL;DR: This paper studies the problem of minimizing the Fisher information in the set of distributions with fixed variance defined on a bounded subset S of R or on the positive real line and shows that the solutions of the underlying differential equation can be expressed in terms of Whittaker functions.
47 citations
TL;DR: In this article, a demonstration elementaire d'une inegalite duale de Brascamp-Lieb et d'un nouvelle duale duale, which a de nombreuses applications en convexite : minoration du volume de projections, du volume ratio exterieur and estimation MM* dans le cas non symetrique.
Abstract: Resume Cette Note donne une demonstration elementaire d’une inegalite de Brascamp-Lieb et d’une nouvelle inegalite duale qui a de nombreuses applications en convexite : minoration du volume de projections, du volume ratio exterieur et estimation MM* dans le cas non symetrique
47 citations
TL;DR: Although in the apparently homogeneous fluidlike regime large amplitude bubbles are not perceived and the bed expands continuously with increasing gas flow, optical probe local measurements show the existence of mesoscale pseudoturbulent structures and short-lived voids, reminiscent of liquid-fluidized beds behavior, and whose characteristic temporal frequency increases with gas velocity.
Abstract: Gas-fluidized fine powders display three regimes of fluidization: solidlike, fluidlike, and bubbling. We investigate, from both macroscopic and local measurements, the transition between these regimes. We show that the transition between the solidlike and the fluidlike regimes takes place along an interval of gas velocities in which transient active regions alternate with transient solid networks. Although in the apparently homogeneous fluidlike regime large amplitude bubbles are not perceived and the bed expands continuously with increasing gas flow, optical probe local measurements show the existence of mesoscale pseudoturbulent structures and short-lived voids, reminiscent of liquid-fluidized beds behavior, and whose characteristic temporal frequency increases with gas velocity. These mesostructures might be responsible for the fast diffusion measured in gas-fluidized beds.
47 citations
Authors
Showing all 831 results
| Name | H-index | Papers | Citations |
|---|---|---|---|
| Dapeng Yu | 94 | 745 | 33613 |
| Daniel Azoulay | 78 | 510 | 23979 |
| Mehmet A. Oturan | 77 | 261 | 22682 |
| Alfred O. Hero | 73 | 899 | 29258 |
| Nihal Oturan | 64 | 174 | 12092 |
| Jean-Christophe Pesquet | 50 | 364 | 13264 |
| Eric D. van Hullebusch | 50 | 265 | 9030 |
| Christian Soize | 48 | 529 | 9932 |
| Maxime Crochemore | 47 | 314 | 9836 |
| Jean-Yves Thibon | 42 | 191 | 6398 |
| Marie-France Sagot | 41 | 191 | 5972 |
| François Farges | 41 | 111 | 6349 |
| Laurent Najman | 40 | 233 | 9238 |
| Renaud Keriven | 39 | 108 | 6330 |
| Robert Eymard | 39 | 171 | 6964 |