The Euler number of the Jacobi factor of a plane curve singularity whose
semigroup is ⟨4,6,13⟩
October 10, 2013
Mathematics
Algebraic Geometry
Piontkowski calculated the Euler number of Jacobi factors of plane curve
singularities with semigroups <p,q>, <4,2q,s>, <6,8,s> and <6,10,s>. %His analysis was done by decomposing the Jacobi factors into affine
cells. In thi...
Heat kernel and Green function estimates on affine buildings
October 8, 2013
Mathematics
Probability
Classical Analysis and ODEs
Combinatorics
We obtain the optimal global upper and lower bounds for the transition
density pn(x,y) of a finite range isotropic random walk on affine buildings.
We present also sharp estimates for the corresponding Green function....
Post-Newtonian Theory for Gravitational Waves
October 5, 2013
Physics
General Relativity and Quantum Cosmology
To be observed and analyzed by the network of current gravitational wave
detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation
ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA)
detectors, ins...
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
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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...
Fractal-cluster theory and thermodynamic principles of the control and
analysis for the self-organizing systems
September 5, 2013
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Physics
Adaptation and Self-Organizing Systems
Physics and Society
Adaptation and Self-Organizing Systems
Physics and Society
The theory of resource distribution in self-organizing systems on the basis
of the fractal-cluster method has been presented. In turn, the fractal-cluster
method is based on the fractal-cluster relations of V.P. Burdakov and the
analytical ...
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
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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...