Recently, evidence has been collected that a class of gravitational theories with certain non-local operators is renormalizable. We consider one such model which, at the linear perturbative level, reproduces the effective non-local action for the light modes of bosonic closed string-field theory. Using the property of asymptotic freedom in the ultraviolet and fixing the classical behavior of th...

D epartement de math ematiques Universit e du Qu ebec a Montr eal 0 PRELIMINARIES 1 Abstract One important challenge in non{parametric density and regression{function estimation is spatially inhomogeneous smoothness. This is often modelled by Besov-and Triebel{type smoothness constraints. Donoho and Johnstone (1992), Delyon and Juditsky (1993) studied minimax rates of convergence for wavelet es...

It has been shown in the presence of the cosmological constant any solution of the Einstein field equations that asymptotically approaches to the static desitter metric does not correspond to an observer of a comoving frame but it should approach to the deSitter metric in the form of Robertson Walker metric (gr-qc/9812092) . For the case of Schwarzschild deSitter its proper form had been derive...

We use a method recently introduced by Simone and Škorić to study accusation probabilities for non-binary Tardos fingerprinting codes. We generalize the pre-computation steps in this approach to include a broad class of collusion attack strategies. We analytically derive properties of a special attack that asymptotically maximizes false accusation probabilities. We present numerical results on ...

We provide a complete picture of asymptotically minimax estimation of Lr-norms (for any r ≥ 1) of the mean in Gaussian white noise model over Nikolskii-Besov spaces. In this regard, we complement the work of Lepski, Nemirovski and Spokoiny (1999), who considered the cases of r = 1 (with poly-logarithmic gap between upper and lower bounds) and r even (with asymptotically sharp upper and lower bo...

One of the main methods of examining non-normal operators, acting on Hilbert spaces, is the theory of contractions. This area of operator theory was developed by Béla Sz.-Nagy and Ciprian Foias from the dilation theorem of Sz.-Nagy. Sz.-Nagy and Foias classi ed the contractions according to their asymptotic behaviour. They got strong structural results in the case when the contraction and its a...

We obtain the Strichartz inequalities Lt Lx([0,1]×M) ≤ C‖u(0)‖L2(M) for any smooth n-dimensional Riemannian manifold M which is asymptotically conic at infinity (with either short-range or long-range metric perturbation) and non-trapping, where u is a solution to the Schrödinger equation iut + 1 2 ∆Mu = 0, and 2 < q, r ≤ ∞ are admissible Strichartz exponents ( 2 q + n r = n 2 ). This correspond...

We present supersymmetric solutions describing black holes with non-vanishing angular momentum in four dimensional asymptotically flat space. The solutions are obtained by Kaluza-Klein reduction of five-dimensional supersymmetric black rings wrapped on the fiber of a Taub-NUT space. We show that in the four-dimensional description the singularity of the nut can be hidden behind a regular black ...

We construct gravitational non-relativistic brane solutions of type IIA/IIB string theories and M-theory and their near-horizon geometries. The non-relativistic M2 and M5-brane metrics have Schrödinger symmetries with dynamical exponent ν = 1/2 and ν = 2, respectively, whereas the known D3-brane solution has ν = 1. The non-relativisitic D-brane, NS5-brane, F-string and KK monopole metrics have ...