ar X iv : 0 80 1 . 18 65 v 1 [ m at h . C A ] 1 1 Ja n 20 08 COMBINED DYNAMIC GRÜSS INEQUALITIES ON TIME SCALES

ar X iv : 0 80 6 . 47 09 v 1 [ m at h . C A ] 2 8 Ju n 20 08 Retarded integral inequalities of Gronwall - Bihari type

Such inequalities have been then used on general time scales, including discretetime versions of (1) and (2) (see [3]). In the present note we generalize both inequalities (1) and (2) in a different direction, by considering more general retarded inequalities, i.e., by letting the upper limit of the integrals to be C1 nondecreasing functions less than or equal to t (cf. (4) and (10) below). Mor...

ar X iv : 0 80 1 . 25 00 v 1 [ co nd - m at . o th er ] 1 6 Ja n 20 08 Making , probing and understanding ultracold Fermi

ar X iv : 0 80 1 . 40 36 v 1 [ m at h . PR ] 2 5 Ja n 20 08 On

In the paper we study the infimum convolution inequalites. Such an inequality was first introduced by B. Maurey to give the optimal concentration of measure behaviour for the product exponential measure. We show how IC inequalities are tied to concentration and study the optimal cost functions for an arbitrary probability measure μ. In particular, we show the optimal IC inequality for product l...

ar X iv : 0 80 1 . 35 64 v 1 [ as tr o - ph ] 2 3 Ja n 20 08 Local Phase Space - Shaped by Chaos ?

ar X iv : 0 80 1 . 16 03 v 1 [ he p - th ] 1 0 Ja n 20 08 1 The three burials of Melquiades DGP

In this talk I review three fatal flaws of the DGP braneworld model, which has been put forward as a possible model for late time acceleration without a cosmological constant; Ghosts, Cosmological Crashes, and Instability of the 5D vacuum. The talk is based on work in collaboration with Charmousis, Kaloper, Myers and Padilla. 2) (The title refers to a film: The three burials of Melquiades Estra...