Quasi-Invariance under Flows Generated by Non-Linear PDEs
November 1, 2013
Mathematics
Analysis of PDEs
The paper is concerned with the change of probability measures μ along
non-random probability measure valued trajectories νt, t∈[−1,1].
Typically solutions to non-linear PDEs, modeling spatial development as time
progresses, g...
Active and sterile neutrino oscillations inside the Sun in a
phenomenological (3+1+2)-model
October 22, 2013
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Physics
High Energy Physics - Phenomenology
Solar and Stellar Astrophysics
The phenomenological model with three active and three light sterile
neutrinos is considered taking into account terrestrial experimental data,
which indicate anomalies at short distances beyond the minimally modified
Standard Model with th...
A note on injective envelopes and von Neumann algebras
October 14, 2013
Mathematics
Operator Algebras
The article exhibits certain relations between the injective envelope I(A) of
a C*-algebra A and the von Neumann algebra generated by a representation lambda
of A provided it is injective. More specifically we show that there exist
positive...
Capacities, Measurable Selection and Dynamic Programming Part II:
Application in Stochastic Control Problems
October 12, 2013
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Mathematics
Optimization and Control
We provide an overview on how to use the measurable selection techniques to
derive the dynamic programming principle for a general stochastic optimal
control/stopping problem. By considering its martingale problem formulation on
the canonic...
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...