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8 papers · 1 filter
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…
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…
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…
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…
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…
Stratification in P2P Networks - Application to BitTorrent
Anh-Tuan Gai, Fabien Mathieu, Julien Reynier +1
We introduce a model for decentralized networks with collaborating peers. The model is based on the stable matching theory which is applied to systems with a global ranking utility…