Bounds on the growth of high Sobolev norms of solutions to Nonlinear
Schrodinger Equations on R
March 29, 2010
Mathematics
Analysis of PDEs
In this paper, we consider the cubic nonlinear Schrodinger equation, and the
Hartree equation, with sufficiently regular convolution potential, both on the
real line. We are interested in bounding the growth of high Sobolev norms of
solutio...
Bounds on the growth of high Sobolev norms of solutions to Nonlinear
Schrodinger Equations on S1
March 29, 2010
Mathematics
Analysis of PDEs
We consider Nonlinear Schrodinger type equations on S1. In this paper, we
obtain polynomial bounds on the growth in time of high Sobolev norms of their
solutions. The key is to derive an iteration bound based on a frequency
decomposition...
Dielectronic recombination data for astrophysical applications: Plasma
rate-coefficients for Fe^q+ (q=7-10, 13-22) and Ni^25+ ions from storage-ring
experiments
February 19, 2010
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Physics
Atomic and Molecular Clusters
Instrumentation and Methods for Astrophysics
Atomic Physics
Plasma Physics
This review summarizes the present status of an ongoing experimental effort
to provide reliable rate coefficients for dielectronic recombination of highly
charged iron ions for the modeling of astrophysical and other plasmas. The
experiment...
Reversible jump Markov chain Monte Carlo and multi-model samplers
January 12, 2010
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Statistics
Methodology
To appear in the second edition of the MCMC handbook, S. P. Brooks, A.
Gelman, G. Jones and X.-L. Meng (eds), Chapman & Hall....
On Some Additive Properties of Multiplicative Subsemigroups of Semirings
and Arithmetic Applications I
December 22, 2009
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Mathematics
Number Theory
Commutative Algebra
Number Theory
Commutative Algebra
In this paper, we consider a question of sum-keeping about a multiplicative
subsemigroup and its generator subsets in a semiring, and develop some
elementary (collapse) process of the sum-keeping retraction through subsets
until one minimal...
Bremermann's limit in cGh-physics
October 18, 2009
Physics
General Relativity and Quantum Cosmology
Quantum Physics
Do physical laws limit the speed of "all data processing systems, manmade as
well as biological"? This question proposed and positively answered by H. J.
Bremermann in 1962, should be corrected to make it compatible with Einstein's
theory o...
The shortest way to the geodesics of spheres
September 20, 2009
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Mathematics
General Mathematics
General Mathematics
In this paper, we prove, using only elementary geometric arguments and only
assuming that the curves are continuous, that the geodesics on a sphere are the
minor arcs of the great circles. Our result are valid for any sphere in any
inner pr...
Probability Bracket Notation, Wick-Matsubara Relation, Density
Operators, and Microscopic Probability Modeling
September 7, 2009
Mathematics
Physics
Probability
Mathematical Physics
Mathematical Physics
Following the Dirac vector bracket notation (VBN), we proposed the
probability bracket notation (PBN) in our previous paper. We mentioned that
under the special Wick rotation (imaginary time), a stationary Schrodinger
equation in the Hilber...
Improved simulation of non-Gaussian temperature and polarization CMB
maps
August 31, 2009
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Physics
Cosmology and Nongalactic Astrophysics
We describe an algorithm to generate temperature and polarization maps of the
cosmic microwave background radiation containing non-Gaussianity of arbitrary
local type. We apply an optimized quadrature scheme that allows us to predict
and co...
Representations of Hermitian Commutative *-Algebras by Unbounded
Operators
August 22, 2009
Mathematics
Operator Algebras
Representation Theory
We give a spectral theorem for unital representations of Hermitian
commutative unital *-algebras by possibly unbounded operators in a pre-Hilbert
space. A better result is known for the case in which the *-algebra is
countably generated....