In this note we study one-dimensional definable sets in power series fields
with perfect residue fields. Using the description of automorphisms given by
Schilling, in \cite{S44}, we show that such sets are unions of existentially
definable ...
Continuous warped time-frequency representations - Coorbit spaces and
discretization
March 18, 2015
| |
Mathematics
Functional Analysis
We present a novel family of continuous, linear time-frequency transforms
adaptable to a multitude of (nonlinear) frequency scales. Similar to classical
time-frequency or time-scale representations, the representation coefficients
are obtai...
An Isodiametric Problem with Additional Constraints in Euclidean space
R^3
March 11, 2015
Mathematics
Dynamical Systems
Let Cθ be a circular cone in Euclidean space R3,which
apex is the origin and apex angle of the cone is θ∈(π/3,π). Let Mθ be the class of compact convex domains in Euclidean
space $\m...
I-Love-Q anisotropically: Universal relations for compact stars with
scalar pressure anisotropy
March 9, 2015
|
Physics
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Certain physical quantities that characterize neutron stars and quark stars
(e.g. their mass, spin angular momentum and quadrupole moment) are interrelated
in a way that is approximately insensitive to their internal structure. Such
approxi...
NF is Consistent
March 4, 2015
|
Mathematics
Logic
In this paper we will present a proof of the consistency of Quine's set
theory "New Foundations" (hereinafter NF), so-called after the title of the
1937 paper in which it was introduced.
This version takes the approach of building a model...
Emergent Spacetime and Cosmic Inflation
March 2, 2015
Physics
Mathematics
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
Mathematical Physics
We present a novel background-independent framework for cosmic inflation,
starting with a matrix model. In this framework, inflation is portrayed as a
dynamic process responsible for the generation of both space and time. This
stands in con...
Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative
curvature
March 1, 2015
| |
Mathematics
Analysis of PDEs
Let M be a complete, simply connected Riemannian manifold with negative
curvature. We obtain some Moser-Trudinger inequalities with sharp constants on
M....
Classification of knotted tori
February 16, 2015
Mathematics
Geometric Topology
Algebraic Topology
For a smooth manifold N denote by Em(N) the set of smooth isotopy
classes of smooth embeddings N→Rm. A description of the set
Em(Sp×Sq) was known only for p=q=0 or for p=0, m=q+2 or for
$2m\ge 2(p+q)+\m...
Massless Neutrino Oscillations via Quantum Tunneling
February 2, 2015
|
Physics
General Physics
General Physics
In the current theory, neutrino oscillations require that the masses of
neutrinos are non-vanishing. By analogy with the oscillation of quantum
two-state system, we assume that neutrino oscillations may be regarded as
quantum tunneling proc...
Transcendental Brauer groups of products of CM elliptic curves
January 19, 2015
Mathematics
Number Theory
Let L be a number field and let E/L be an elliptic curve with complex
multiplication by the ring of integers OK of an imaginary
quadratic field K. We use class field theory and results of Skorobogatov and
Zarhin to comput...