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On Nonnegatively Curved Hypersurfaces In Hyperbolic Space, Vincent Bonini, Shiguang Ma, Jie Qing
On Nonnegatively Curved Hypersurfaces In Hyperbolic Space, Vincent Bonini, Shiguang Ma, Jie Qing
Mathematics
In this paper we prove a conjecture of Alexander and Currier that states, except for covering maps of equidistant surfaces in hyperbolic 3-space, a complete, nonnegatively curved immersed hypersurface in hyperbolic space is necessarily properly embedded.
Invariant Subspaces Of Compact Operators And Related Topics, Weston Mckay Grewe
Invariant Subspaces Of Compact Operators And Related Topics, Weston Mckay Grewe
Mathematics
The invariant subspace problem asks if every bounded linear operator on a Banach space has a nontrivial closed invariant subspace. Per Enflo has shown this is false in general, however it is known that every compact operator has an invariant subspace. The purpose of this project is to explore introductory results in functional analysis. Specifically we are interested in understanding compact operators and the proof that all compact operators on a Hilbert space have an invariant subspace. In the process of doing this we build up many examples and theorems relating to operators on a Hilbert or Banach space. Continuing …
Can We Detect Undeclared Facilities In The Nuclear Fuel Cycle Using Mathematical Simulations?, Kassandra Guajardo, Lee Burke, Romarie Morales Rosado
Can We Detect Undeclared Facilities In The Nuclear Fuel Cycle Using Mathematical Simulations?, Kassandra Guajardo, Lee Burke, Romarie Morales Rosado
STAR Program Research Presentations
What if there was a way to detect undeclared (Clandestine) facilities using data sets from a nuclear facility? The Statistical Modeling and Experimental Design group at the Pacific Northwest National Laboratory are developing the Modeling and Inference for Remote Sensing (MIRS) model. The model uses two deterrence scenarios within the nuclear fuel cycle to detect undeclared facilities. The two scenarios are used in an agent based nuclear fuel cycle simulator to produce the declared and undeclared feed, tails assay, and sink inventory in kilograms of Uranium. In the first scenario, natural uranium is being diverted from the conversion plant to …
Simulating The Electrical Properties Of Random Carbon Nanotube Networks Using A Simple Model Based On Percolation Theory, Roberto Abril Valenzuela
Simulating The Electrical Properties Of Random Carbon Nanotube Networks Using A Simple Model Based On Percolation Theory, Roberto Abril Valenzuela
Physics
Carbon nanotubes (CNTs) have been subject to extensive research towards their possible applications in the world of nanoelectronics. The interest in carbon nanotubes originates from their unique variety of properties useful in nanoelectronic devices. One key feature of carbon nanotubes is that the chiral angle at which they are rolled determines whether the tube is metallic or semiconducting. Of main interest to this project are devices containing a thin film of randomly arranged carbon nanotubes, known as carbon nanotube networks. The presence of semiconducting tubes in a CNT network can lead to a switching effect when the film is electro-statically …