Using methods of descriptive theory it is shown that the classification
problem for wild knots is strictly harder than that for countable structures....
An information-theoretic proof of a hypercontractive inequality
April 7, 2015
Mathematics
Probability
Combinatorics
In this note I give an information-theoretic proof of the
Bonami-Beckner-Gross hypercontractive inequality....
A new non-extensive equation of state for the fluid phases of argon
including the metastable states, from the melting line to 2300 K and 50 GPa
March 31, 2015
| |
Physics
Statistical Mechanics
Materials Science
Soft Condensed Matter
A new equation of state for argon has been developed in view to extend the
range of validity of the equation of state previously proposed by Tegeler et
al. (Ref. 4) and to obtain a better physical description of the experimental
thermodynam...
One-dimensional F-definable sets in F((t))
March 19, 2015
Mathematics
Logic
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....