5,792 research outputs found
A regularity result for the bound states of -body Schr\"odinger operators: Blow-ups and Lie manifolds
Full text linkWe prove regularity estimates in weighted Sobolev spaces for the
-eigenfunctions of Schr\"odinger type operators whose potentials have
inverse square singularities and uniform radial limits at infinity. In
particular, the usual -body Hamiltonians with Coulomb-type singular
potentials are covered by our result: in that case, the weight is
, where
is the usual euclidean distance to the union
of the set of collision planes . The
proof is based on blow-ups of manifolds with corners and Lie manifolds. More
precisely, we start with the radial compactification of the
underlying space and we first blow-up the spheres at infinity of the collision planes to
obtain the Georgescu-Vasy compactification. Then we blow-up the collision
planes . We carefully investigate how the Lie manifold
structure and the associated data (metric, Sobolev spaces, differential
operators) change with each blow-up. Our method applies also to higher order
differential operators, to certain classes of pseudodifferential operators, and
to matrices of scalar operators.Comment: Small changes, last preprint version before sending to publisher.
Appendices D and E only in preprint version, not publishe
A comparison of the Georgescu and Vasy spaces associated to the N-body problems and applications
Full text linkWe provide new insight into the analysis of N-body problems by studying a
compactification of that is compatible with the
analytic properties of the -body Hamiltonian . We show that our
compactification coincides with the compactification introduced by Vasy using
blow-ups in order to study the scattering theory of N-body Hamiltonians and
with a compactification introduced by Georgescu using -algebras. In
particular, the compactifications introduced by Georgescu and by Vasy coincide
(up to a homeomorphism that is the identity on ). Our result
has applications to the spectral theory of -body problems and to some
related approximation properties.
For instance, results about the essential spectrum, the resolvents, and the
scattering matrices of (when they exist) may be related to the behavior
near (i.e. "at infinity") of their distribution
kernels, which can be efficiently studied using our methods. The
compactification is compatible with the action of the permutation group
, which allows to implement bosonic and fermionic (anti-)symmetry
relations. We also indicate how our results lead to a regularity result for the
eigenfunctions of .Comment: In version 2 several application towards physics were added,
according to the wishes of the journal. The numbering has changed. In version
3 several formulations were improved, however the mathematical content is
unchanged. Again the numbering has changed. The article was accepted in
Annales Henri Poincar
Measuring and analyzing German and Spanish customer satisfaction of using the iPhone 4S Mobile Cloud service
Full text linkThis paper presents the customer satisfaction analysis for measuring popularity in the Mobile Cloud, which is an emerging area in the Cloud and Big Data Computing. Organizational Sustainability Modeling (OSM) is the proposed method used in this research. The twelve-month of German and Spanish consumer data are used for the analysis to investigate the return and risk status associated with the ratings of customer satisfaction in the iPhone 4S Mobile Cloud services. Results show that there is a decline in the satisfaction ratings in Germany and Spain due to economic downturn and competitions in the market, which support our hypothesis. Key outputs have been explained and they confirm that all analysis and interpretations fulfill the criteria for OSM. The use of statistical and visualization method proposed by OSM can expose unexploited data and allows the stakeholders to understand the status of return and risk of their Cloud strategies easier than the use of other data analysis
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A Norwegian grey zone: Knut Rød, Victor Lind and 'The crucial year, 1942'
No full textThis article uses Primo Levi’s concept of “the grey zone” to explore Knut Rød’s involvement in the transfer of 532 Norwegian Jews from Oslo to Auschwitz in 1942. Rød, the police chief in charge of the operation, was subsequently exonerated of any crime on the grounds that he had simultaneously used his position to help members of Milorg – the Norwegian Resistance. The legal and moral basis of this verdict has been questioned by the artist Victor Lind in a series of artworks, including his “countermonument” The Perpetrator (2005)
Victor LaValle
No full textVictor LaValle is the author of the short story collection Slapboxing with Jesus, four novels, The Ecstatic, Big Machine, The Devil in Silver, and The Changeling and two novellas, Lucretia and the Kroons and The Ballad of Black Tom. He is also the creator and writer of a comic book Victor LaValle’s DESTROYER. He has been the recipient of numerous awards including a Whiting Writers’ Award, a United States Artists Ford Fellowship, a Guggenheim Fellowship, a Shirley Jackson Award, an American Book Award, and the key to Southeast Queens. He was raised in Queens, New York. He now lives in Washington Heights with his wife and kids. He teaches at Columbia University. The free, public program begins at 6:00 p.m. at Burns Belfry.https://egrove.olemiss.edu/grisham_vis/1002/thumbnail.jp
[Diary Entry for Saturday, April 13, 1940]
No full textThis page is part of a diary by Sir Ellice Victor Elias Sassoon. He wrote that he slept a lot and read a book about the Burma Road for which the author got the idea at his garden party in 1937. He then said he went to bed at 8 and that Edna came in to ask how he was
OneVerse Ache NT Dedication & Celebration: Dr. Victor Gomez
No full textVictor Antonio Gomez celebrates, dedicates, and shares about OneVerse’s translation of New Testament in the language of the Ache people.
Victor Antonio Gomez, Paraguayan, is married to Cristina Flores and has two daughters: Rocio (22) and Jazmin (Taylor ’16). He has a Ph.D. in theology and served as Baptist pastor and professor of several seminaries before becoming a Bible Translator for the Ache people and Director of LETRA Paraguay. Author and editor of several books, he also serves as Wycliffe Global Alliance Bible Translation Coordinator and Sub-director for the Americas
Letter from JV [John Victor] Carson, Dominguez Estate Company to J.S. Yoshinobu, June 3, 1938
No full textLetter making final request for information no Mr. Kuda's lease information. Signed by JV [John Victor] Carson
Unknown Anzac : and other poems / by Victor Kennedy.
No full textElectronic reproduction. Canberra, A.C.T. : National Library of Australia, 2012.; Library's Whelan copy inscribed and signed by the author
An Introductory Approach to Risk Visualization as a Service
Full text linkThis paper introduces the Risk Visualization as a Service (RVaaS) and presents the motivation, rationale, methodology, Cloud APIs used, operations and examples of using RVaaS. Risks can be calculated within seconds and presented in the form of Visualization to ensure that unexploited areas are ex-posed. RVaaS operates in two phases. The first phase includes the risk modeling in Black Scholes Model (BSM), creating 3D Visualization and Analysis. The second phase consists of calculating key derivatives such as Delta and Theta for financial modeling. Risks presented in visualization allow the potential investors and stakeholders to keep track of the status of risk with regard to time, prices and volatility. Our approach can improve accuracy and performance. Results in experiments show that RVaaS can perform up to 500,000 simulations and complete all simulations within 24 seconds for time steps of up to 50. We also introduce financial stock market analysis (FSMA) that can fully blend with RVaaS and demonstrate two examples that can help investors make better decision based on the pricing and market volatility information. RVaaS provides a structured way to deploy low cost, high quality risk assessment and support real-time calculations
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