The Experts below are selected from a list of 9270 Experts worldwide ranked by ideXlab platform
Tobias H Colding - One of the best experts on this subject based on the ideXlab platform.
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singular limit laminations morse index and positive scalar curvature
Topology, 2005Co-Authors: Tobias H Colding, Camillo De LellisAbstract:For any 3-manifold M 3 and any Nonnegative Integer g, we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus g and without Morse indexbounds. On any spherical space form we construct such a metric with positive scalar curvature. More generally, we construct such a metric with Scal ? 0 (and such surfaces) on any 3-manifold which carries a metric with Scal ? 0. ? 2004 Elsevier Ltd. All rights reserved.
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singular limit laminations morse index and positive scalar curvature
arXiv: Differential Geometry, 2002Co-Authors: Tobias H Colding, Camillo De LellisAbstract:For any 3-manifold M and any Nonnegative Integer g, we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus g and without Morse index bounds. On any spherical space form S^3/Gamma we construct such a metric with positive scalar curvature. More generally we construct such a metric with Scal>0 (and such surfaces) on any 3-manifold which carries a metric with Scal>0. In all but one of these examples the Hausdorff limit will be a singular minimal lamination. The singularities being in each case exactly two points lying on a closed leaf (the leaf is a strictly stable sphere).
Camillo De Lellis - One of the best experts on this subject based on the ideXlab platform.
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singular limit laminations morse index and positive scalar curvature
Topology, 2005Co-Authors: Tobias H Colding, Camillo De LellisAbstract:For any 3-manifold M 3 and any Nonnegative Integer g, we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus g and without Morse indexbounds. On any spherical space form we construct such a metric with positive scalar curvature. More generally, we construct such a metric with Scal ? 0 (and such surfaces) on any 3-manifold which carries a metric with Scal ? 0. ? 2004 Elsevier Ltd. All rights reserved.
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singular limit laminations morse index and positive scalar curvature
arXiv: Differential Geometry, 2002Co-Authors: Tobias H Colding, Camillo De LellisAbstract:For any 3-manifold M and any Nonnegative Integer g, we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus g and without Morse index bounds. On any spherical space form S^3/Gamma we construct such a metric with positive scalar curvature. More generally we construct such a metric with Scal>0 (and such surfaces) on any 3-manifold which carries a metric with Scal>0. In all but one of these examples the Hausdorff limit will be a singular minimal lamination. The singularities being in each case exactly two points lying on a closed leaf (the leaf is a strictly stable sphere).
Venkat Anantharam - One of the best experts on this subject based on the ideXlab platform.
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the input output map of a monotone discrete time quasireversible node queueing theory
IEEE Transactions on Information Theory, 1993Co-Authors: Venkat AnantharamAbstract:A class of discrete-time quasi-reversible nodes called monotone, which includes discrete-time analogs of the ./M/ infinity and ./M/1 nodes, is considered. For stationary ergodic Nonnegative Integer valued arrival processes, the existence and uniqueness of stationary regimes are proven when a natural rate condition is met. Coupling is used to prove the contractiveness of the input-output map relative to a natural distance on the space of stationary arrival processes that is analogous to Ornstein's d distance. A consequence is that the only stationary ergodic fixed points of the input-output map are the processes of independent and identically distributed Poisson random variables meeting the rate condition. >
Craig Cowan - One of the best experts on this subject based on the ideXlab platform.
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a short remark regarding pohozaev type results on general domains assuming finite morse index
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2017Co-Authors: Craig CowanAbstract:We are interested in Nonnegative nontrivial solutions of { −∆u = up in Ω, u = 0 on ∂Ω, (1) where 1 < p and Ω a bounded smooth domain in RN with 3 ≤ N ≤ 9. We show that given a Nonnegative Integer M there is some large p(M,Ω) such that the only Nonnegative solution u, of Morse index at most M , is u = 0. 2010 Mathematics Subject Classification.
Amol Sasane - One of the best experts on this subject based on the ideXlab platform.
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the bass and topological stable ranks of the bohl algebra are infinite
Acta Applicandae Mathematicae, 2016Co-Authors: Raymond Mortini, Rudolf Rupp, Amol SasaneAbstract:The Bohl algebra B is the ring of linear combinations of functions tke?t on the real line, where k is any Nonnegative Integer, and ? is any complex number, with pointwise operations. We show that the Bass stable rank and the topological stable rank of B (where we use the topology of uniform convergence) are infinite.
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the bass and topological stable ranks of the bohl algebra are infinite
arXiv: Rings and Algebras, 2014Co-Authors: Raymond Mortini, Rudolf Rupp, Amol SasaneAbstract:The Bohl algebra $\textrm{B}$ is the ring of linear combinations of functions $t^k e^{\lambda t}$, where $k$ is any Nonnegative Integer, and $\lambda$ is any complex number, with pointwise operations. We show that the Bass stable rank and the topological stable rank of $\textrm{B}$ (where we use the topology of uniform convergence) are infinite.
