Local Lipschitz continuity in the initial value and strong completeness
for nonlinear stochastic differential equations
September 22, 2013
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Mathematics
Probability
Recently, Hairer et. al (2012) showed that there exist SDEs with infinitely
often differentiable and globally bounded coefficient functions whose solutions
fail to be locally Lipschitz continuous in the strong L^p-sense with respect to
the ...
The convergence Newton polygon of a p-adic differential equation V :
local index theorems
September 16, 2013
|
Mathematics
Number Theory
In this paper and its sequel we consider locally-free OX-modules
together with a connection over a quasi-smooth Berkovich curve X. We obtain
necessary and sufficient conditions for the finite dimensionality of their de
Rham c...
Υ absorption cross sections by nucleons
September 11, 2013
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Physics
Nuclear Theory
The cross sections of Υ\ absorption by nucleons are calculated in
meson-baryon exchange model using an effective hadronic Lagrangian. Calculated
cross sections are found to peak near threshold followed by an increase which
tends t...
Constructive mathematics with the knowledge predicate K satisfied by
every currently known theorem
September 6, 2013
Mathematics
Number Theory
K denotes both the predicate satisfied by every currently known theorem and
the finite set of all currently known theorems. The set K is time-dependent,
publicly available, and contains theorems both from formal and constructive
mathema...
Necessary condition for divisibility by the power of prime ideal and its
application to Fermat's Last Theorem
September 1, 2013
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Mathematics
General Mathematics
In the paper one proves a necessary condition for divisibility of integral
elements by the powers of prime divisor of unramifed prime ideal and gives its
application to a simple proof of Fermat's Last Theorem....
A note on the random greedy independent set algorithm
August 16, 2013
|
Mathematics
Combinatorics
Let r be a fixed constant and let H be an r-uniform, D-regular hypergraph on
N vertices. Assume further that D > N^\epsilon for some \epsilon>0. Consider
the random greedy algorithm for forming an independent set in H. An independent
set is...
Hidden-anisotropy-induced π phase shift in all-optical magnetization
precession
August 5, 2013
Physics
Mesoscale and Nanoscale Physics
Materials Science
Laser-induced magnetization precession of an in-plane magnetized Pt/Co/Pt
film with perpendicular interface anisotropy was studied using time resolved
magneto-optical Kerr effect. An additional π shift in the phase of
precession is need...
The convergence Newton polygon of a p-adic differential equation III :
global decompositions
August 4, 2013
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Mathematics
Number Theory
We deal with locally free OX-modules with connection over a
Berkovich curve X. As a main result we prove local and global decomposition
theorems of such objects by the radii of convergence of their solutions. We
also derive a...
Current Algebras from DG Symplectic Pairs in Supergeometry
August 1, 2013
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Physics
Mathematics
Mathematical Physics
High Energy Physics - Theory
Mathematical Physics
Symplectic Geometry
Mathematical Physics
High Energy Physics - Theory
Mathematical Physics
Symplectic Geometry
We propose a new unified formulation of the current algebra theory in terms
of supergeometry. We take a QP-structure, i.e. a differential graded symplectic
structure, on a graded cotangent bundle as a fundamental framework. A Poisson
bracke...
Classification of quasi-affine Generalized Dynkin Diagrams with Rank 4
July 25, 2013
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Mathematics
Quantum Algebra
Quantum Algebra
All quasi-affine connected Generalized Dynkin Diagram with rank =4 are
found. All quasi-affine Nichols (Lie braided) algebras with rank 4 are also
found....