On the arithmetically Cohen-Macaulay property for sets of points in
multiprojective spaces
February 3, 2017
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Mathematics
Algebraic Geometry
Commutative Algebra
Published version: We study the arithmetically Cohen-Macaulay (ACM) property
for finite sets of points in multiprojective spaces, especially (P1)n. A combinatorial characterization, the (⋆)-property, is known in
$\mathbb P...
Equilibrium Thermodynamics and Neutrino Decoupling in Quasi-Metric
Cosmology
January 31, 2017
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Physics
General Relativity and Quantum Cosmology
General Relativity and Quantum Cosmology
The laws of thermodynamics in the expanding universe are formulated within
the quasi-metric framework. Since the quasi-metric cosmic expansion does not
directly influence momenta of material particles, so that the expansion
directly cools n...
On Distance Preserving and Sequentially Distance Preserving Graphs
January 17, 2017
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Computer Science
Mathematics
Discrete Mathematics
Social and Information Networks
Combinatorics
Discrete Mathematics
Social and Information Networks
Combinatorics
A graph H is an \emph{isometric} subgraph of G if dH(u,v)=dG(u,v),
for every pair~u,v∈V(H). A graph is \emph{distance preserving} if it has
an isometric subgraph of every possible order. A graph is \emph{sequentially
distance ...
Affine Hecke algebras for Langlands parameters
January 13, 2017
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Mathematics
Representation Theory
It is well-known that affine Hecke algebras are very useful to describe the
smooth representations of any connected reductive p-adic group G, in terms of
the supercuspidal representations of its Levi subgroups. The goal of this paper
is to ...
Coupled Supersymmetry and Ladder Structures Beyond the Harmonic
Oscillator
January 10, 2017
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Physics
Mathematics
Mathematical Physics
Functional Analysis
Mathematical Physics
The development of supersymmetric (SUSY) quantum mechanics has shown that
some of the insights based on the algebraic properties of ladder operators
related to the quantum mechanical harmonic oscillator carry over to the study
of more gener...
Dynamical Generation of Spin Current and Phase Slip in Exciton-Polariton
Condensates
January 8, 2017
Physics
Mesoscale and Nanoscale Physics
We show that how to generate propagation of spin degree in spin-symmetric
exciton-polariton condensates in a semiconductor microcavity. Due to the
stimulated spin-dependent scattering between hot excitons and condensates,
exciton polaritons...
Different Statistical Behaviors of Orbits
January 7, 2017
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Mathematics
Dynamical Systems
Dynamical Systems
In this paper, we will study the statistical behaviors of orbits. Firstly, we
will show that for a dynamical systems have the shadowing property or almost
specification property, the set of nonrecurrent points has full topological
entropy. ...
Arithmetic D-modules on locally noetherian formal schemes
January 5, 2017
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Mathematics
Algebraic Geometry
Algebraic Geometry
We extend Berthelot's theory of arithmetic D-modules to a class of morphisms
that are not necessarily of finite type. As an application we give a new
construction of the category of convergent isocrystals on a separated scheme of
finite typ...
Tunnel number one knots satisfy the Berge Conjecture
January 5, 2017
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Mathematics
Geometric Topology
Let K be a tunnel number one knot in M with irreducible knot exterior,
where M is either S3, or a connected sum of S2×S1 with any lens
space. (In particular, this includes M=S2×S1.) We prove that if a
non-triv...
Abstract Wiener measure using abelian Yang-Mills action on
R4
January 5, 2017
Mathematics
Physics
Probability
Mathematical Physics
Functional Analysis
Mathematical Physics
Let g be the Lie algebra of a compact Lie group. For a
g-valued 1-form A, consider the Yang-Mills action
\begin{equation} S_{{\rm YM}}(A) = \int_{\mathbb{R}^4} \left|dA + A \wedge A
\right|^2\ d\omega \nonumber \...