Well-posedness for a system of quadratic derivative nonlinear
Schr\"odinger equations with low regularity periodic initial data
November 24, 2013
Mathematics
Analysis of PDEs
We consider the Cauchy problem of a system of quadratic derivative nonlinear
Schr\"odinger equations which was introduced by M. Colin and T. Colin (2004) as
a model of laser-plasma interaction. For the nonperiodic case, the author
proved th...
Beyond journals and peer review: towards a more flexible ecosystem for
scholarly communication
November 18, 2013
Physics
Computer Science
Physics and Society
Digital Libraries
This article challenges the assumption that journals and peer review are
essential for developing,evaluating and disseminating scientific and other
academic knowledge. It suggests a more flexible ecosystem, and examines some of
the possibil...
Chow groups of ind-schemes and extensions of Saito's filtration
November 7, 2013
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Mathematics
Algebraic Geometry
Algebraic Geometry
Let K be a field of characteristic zero and let Sm/K be the category of
smooth and separated schemes over K. For an ind-scheme X (and more
generally for any presheaf of sets on Sm/K), we define its Chow groups
$\{CH^p(\ma...
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...