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Showing 2006Show all

296 papers · 1 filter

physics.optics2006★ 18 cited

High-sensitivity time-resolved intracavity laser Fourier transform spectroscopy with vertical cavity surface emitting multiple quantum well lasers

Nathalie Picqué, Guy Guelachvili, Alexander A. Kachanov

Spectra comprised of hundreds of time-components for absorption path lengths up to 130 km have been recorded around 1050 nm by combining two recent techniques, intracavity laser sp…

math.AP2006

Injectivity Radius of Lorentzian Manifolds

Bing-Long Chen, Philippe G. LeFloch

Motivated by the application to spacetimes of general relativity we investigate the geometry and regularity of Lorentzian manifolds under certain curvature and volume bounds. We es…

math.NT2006★ 15 cited

Rank One Solvable p-adic Differential Equation and Finite Abelian Characters via Lubin-Tate groups

Andrea Pulita

We introduce a new class of exponentials of Artin-Hasse type, called -exponentials. These exponentials depends on the choice of a generator of the Tate…

math.DG2006

Riemann-Roch for real varieties

P. Bressler, M. Kapranov, B. Tsygan +1

If E is a C^\infty complex vector bundle on an oriented C^\infty manifold Σ, diffeomorphic to a circle, then the space of sections of E has a canonical polarization in the sense of…

math.DG2006★ 11 cited

The Dirichlet problem for constant mean curvature surfaces in Heisenberg space

Luis J. Alias, Marcos Dajczer, Harold Rosenberg

We study constant mean curvature graphs in the Riemannian 3-dimensional Heisenberg spaces . Each such is the total space of a Riemannian submersion…

math.PR2006★ 16 cited

Karhunen-Loève expansions of mean-centered Wiener processes

Paul Deheuvels

For , we provide the Karhunen-Loève expansion of the weighted mean-centered Wiener process, defined by \[W _γ(t)=\frac{1}{\sqrt{1+2γ}}\Big\{W\big(t^{1+2γ}\big)- \int_0^1W…