A Time-Dependent Model of Dark Energy Based on Four-Dimensional
Continuous Deformation Theory
May 1, 2018
Physics
General Physics
In this article, we investigate the mechanism of cosmological expansion and
inflation by modeling dark energy as a four-dimensional continuous medium, with
its elastic deformation described by a four-dimensional vector field. We
demonstrate...
Parity sequences of the 3x+1 map on the 2-adic integers and Euclidean
embedding
April 30, 2018
|
Mathematics
Dynamical Systems
Number Theory
Dynamical Systems
Number Theory
In this paper, we consider the one-to-one correspondence between a 2-adic
integer and its parity sequence under iteration of the so-called "3x+1" map.
First, we prove a new formula for the inverse transform. Next, we briefly
review what is ...
Meixner d-Orthogonal Polynomials Arising from su(1,1)
April 30, 2018
|
Mathematics
Classical Analysis and ODEs
In this study, we present a novel family of Meixner-type d-orthogonal
polynomials, which are distinguished as a particular subset of multiple
orthogonal polynomials. We demonstrate their connection to the Lie algebra
su(1,1) ...
Exoplanet Populations and their Dependence on Host Star Properties
April 30, 2018
Physics
Solar and Stellar Astrophysics
Earth and Planetary Astrophysics
Exoplanets around different types of stars provide a window into the diverse
environments in which planets form. This chapter describes the observed
relations between exoplanet populations and stellar properties and how they
connect to plan...
Fully Extended Quasi-Metric Gravity
April 30, 2018
Physics
General Relativity and Quantum Cosmology
The original theory of quasi-metric gravity, admitting only a partial
coupling between space-time geometry and the active stress-energy tensor, is
too restricted to allow the existence of gravitational waves in vacuum.
Therefore, said theor...
Homological Mirror Symmetry for Hypertoric Varieties I
April 27, 2018
| | |
Mathematics
Algebraic Geometry
Representation Theory
Symplectic Geometry
Algebraic Geometry
Representation Theory
Symplectic Geometry
We consider homological mirror symmetry in the context of hypertoric
varieties, showing that appropriate categories of B-branes (that is, coherent
sheaves) on an additive hypertoric variety match a category of A-branes on a
Dolbeault hypert...
Quotients of the mapping class group by power subgroups
April 27, 2018
|
Mathematics
Geometric Topology
We study the quotient of the mapping class group Modgn of
a surface of genus g with n punctures, by the subgroup
Modgn[p] generated by the p-th powers of Dehn twists. Our
first main result is that...
An optimized KE-tableau-based system for reasoning in the description
logic DLD4,× (Extended Version)
April 27, 2018
| |
Computer Science
Logic in Computer Science
We present a KE-tableau-based procedure for the main TBox and ABox reasoning
tasks for the description logic DL⟨4LQSR,×⟩(D), in short
DLD4,×. The logic
$...
A connection between tests for absolute convergence of infinite series,
or how to be fair
April 24, 2018
|
Mathematics
History and Overview
History and Overview
The Ratio Test and the Root Test for absolute convergence/divergence of
series of numbers ∑n=0∞an are frequently discussed and proved
independently in Calculus courses.
The Root Test is stronger (verifies convergence for ...
Quantum B\"uchi Automata
April 24, 2018
|
Computer Science
Physics
Logic in Computer Science
Formal Languages and Automata Theory
Quantum Physics
Quantum finite automata (QFAs) have been extensively studied in the
literature. In this paper, we define and systematically study quantum B\"uchi
automata (QBAs) over infinite words to model the long-term behavior of quantum
systems, which ...