A contextual analysis of the early work of Andrzej Trautman and Ivor
Robinson on equations of motion and gravitational radiation
October 8, 2019
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Physics
History and Philosophy of Physics
General Relativity and Quantum Cosmology
In a series of papers published in the course of his dissertation work in the
mid 1950's, Andrzej Trautman drew upon the slow motion approximation developed
by his advisor Infeld, the general covariance based strong conservation laws
enunci...
Quantum optimal transport for approximately finite-dimensional
C∗-algebras
October 8, 2019
Mathematics
Operator Algebras
Functional Analysis
Quantum Algebra
We introduce quantum optimal transport of states on tracial
AF-C∗-algebras to study non-spatial transport of quantum information, and
view it as the pointwise case of a general parametrised one. We define quantum
optimal transport dist...
Kazarnovskii mixed pseudovolume
October 7, 2019
Mathematics
Complex Variables
The present paper is a detailed and almost self-contained introduction to
Kazarnovskii mixed pseudovolume. It provides new formulas and new results about
Alexandroff-Fenchel type inequalities for Kazarnovskii mixed pseudovolume....
MADHAT: Model-Agnostic Dark Halo Analysis Tool
October 7, 2019
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Physics
High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
We present the Model-Agnostic Dark Halo Analysis Tool (MADHAT), a numerical
tool which implements a Fermi-LAT data-driven, model-independent analysis of
gamma-ray emission from dwarf satellite galaxies and dwarf galaxy candidates
due to dar...
Do charged pions condense in a magnetic field with rotation?
October 7, 2019
| |
Physics
High Energy Physics - Phenomenology
Nuclear Theory
We revisit the condensation scenario of charged pions in external magnetic
field and rotation, which was first considered by Y. Liu and I. Zahed. Based on
the Ginzburg-Landau analysis of the Nambu--Jona-Lasinio model, we find that the
charg...
C*-algebras of self-similar actions of groupoids on higher-rank graphs
and their equilibrium states
October 6, 2019
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Mathematics
Operator Algebras
We introduce the notion of a self-similar action of a groupoid G on a
finite higher-rank graph. To these actions we associate a compactly aligned
product system of Hilbert bimodules, and thereby obtain corresponding universal
Nica--Toepli...
Decidability of membership problems for flat rational subsets of
GL(2,Q) and singular matrices
October 5, 2019
| |
Computer Science
Formal Languages and Automata Theory
We consider membership problems for rational subsets of the semigroup of
2×2 matrices over Q. For a semigroup M, the rational
subsets Rat(M) are defined as the sets accepted by NFAs whose
transitions are labe...
A Note on Fractional DP-Coloring of Graphs
October 4, 2019
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Mathematics
Combinatorics
DP-coloring (also called correspondence coloring) is a generalization of list
coloring introduced by Dvo\v{r}\'{a}k and Postle in 2015. In 2019, Bernshteyn,
Kostochka, and Zhu introduced a fractional version of DP-coloring. They showed
that...
Maximum Matchings in Geometric Intersection Graphs
October 4, 2019
| |
Computer Science
Computational Geometry
Data Structures and Algorithms
Let G be an intersection graph of n geometric objects in the plane. We
show that a maximum matching in G can be found in
O(ρ3ω/2nω/2) time with high probability, where ρ is
the density of the geometric object...
Transitive closure in a polluted environment
October 4, 2019
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Mathematics
Probability
Combinatorics
We introduce and study a new percolation model, inspired by recent works on
jigsaw percolation, graph bootstrap percolation, and percolation in polluted
environments. Start with an oriented graph G0 of initially occupied edges on
n ver...