We have sequenced a 1674basepair Pst I fragment ( 1 6 5 8 to +16, relative to the transcription start site) from the 5"-f1ank1ng region of the mouse ornithine decarboxylase (ODC) gene, Isolated from a genomtc library of BALB/c mice (generously provided by Dr. J. V. Ravetch). Previously, Brabant et al. ( 1 ) and Katz and Kahane ( 2 ) have reported sequences for the 5'-flank1ng region of this gen...

We show that the validity of the non-commutative Khintchine inequality for some q with 1 < q < 2 implies its validity (with another constant) for all 1 ≤ p < q. We prove this for the inequality involving the Rademacher functions, but also for more general " lacunary " sequences, or even non-commutative analogues of the Rademacher functions. For instance, we may apply it to the " Z(2)-sequences ...

The main objective of the Rhapsodie project (ANR Rhapsodie 07 Corp-030-01) was to define rich, explicit, and reproducible schemes for the annotation of prosody and syntax in different genres (± spontaneous, ± planned, face-to-face interviews vs. broadcast, etc.), in order to study the prosody/syntax/discourse interface in spoken French, and their roles in the segmentation of speech into discour...

An N-parameter Brownian sheet in Rd maps a non-random compact set F in R+ to the random compact set B(F ) in R d. We prove two results on the image-set B(F ): (1) It has positive d-dimensional Lebesgue measure if and only if F has positive d 2 -dimensional capacity. This generalizes greatly the earlier works of J. Hawkes (1977), J.-P. Kahane (1985), and Khoshnevisan (1999). (2) If dimH F > d 2 ...

Let X = ε n x n be a Rademacher series with vector-valued coefficients. We obtain an approximate formula for the distribution of the random variable ||X|| in terms of its mean and a certain quantity derived from the K-functional of interpolation theory. Several applications of the formula are given. In [6] the second-named author calculated the distribution of a scalar Rademacher series ε n a n...

A general method for obtaining moment inequalities for functions of independent random variables is presented. It is a generalization of the entropy method which has been used to derive concentration inequalities for such functions [7], and is based on a generalized tensorization inequality due to Lata la and Oleszkiewicz [25]. The new inequalities prove to be a versatile tool in a wide range o...

We study the exact observability of systems governed by the Schrödinger equation in a rectangle with homogeneous Dirichlet (respectively Neumann) boundary conditions and with Neumann (respectively Dirichlet) boundary observation. Generalizing results from Ramdani, Takahashi, Tenenbaum and Tucsnak (2005), we prove that these systems are exactly observable in in arbitrarily small time. Moreover, ...

Let W 1 ... . , W N be N nonnegative random variables and let 9J~ be the class of all probability measures on [0, m). Define a transformation T on 9J~ by letting T# be the distribution of W a X 1 + . . . + WNXN, where the X i are independent random variables with distribution /~, which are independent of W1, ..., W N as well. In earlier work, first Kahane and Peyriere, and then Holley and Ligge...