Local Density of States induced near Impurities in Mott Insulators
October 8, 2018
|
Physics
Strongly Correlated Electrons
The local density of states near dopants or impurities has recently been
probed by scanning tunneling microscopy in both the parent and very lightly
doped compounds of the high-Tc cuprate superconductors. Our calculations
based on a slav...
Honeycomb Tessellations and Graded Permutohedral Blades
October 7, 2018
|
Mathematics
Physics
Combinatorics
High Energy Physics - Theory
Representation Theory
Combinatorics
High Energy Physics - Theory
Representation Theory
This paper investigates enumerative aspects of permutohedral blades, which
provide a generalization of the notion of the tropical hyperplane arrangement.
Blade provide the combinatorial underpinning of generalized biadjoint scalar
scatterin...
Leave-one-out least squares Monte Carlo algorithm for pricing Bermudan
options
October 4, 2018
| |
Quantitative Finance
Statistics
Computational Finance
Mathematical Finance
Machine Learning
The least squares Monte Carlo (LSM) algorithm proposed by Longstaff and
Schwartz (2001) is widely used for pricing Bermudan options. The LSM estimator
contains undesirable look-ahead bias, and the conventional technique of
avoiding it requi...
Charging axially symmetric interior solutions in General Relativity
October 4, 2018
| |
Physics
General Relativity and Quantum Cosmology
We present two solution-generating techniques, which are direct
generalizations of certain Ehlers-Harrison transformations in the Ernst
formalism, while adapted to work in presence of an anisotropic fluid source
with axial symmetry. Based o...
Hindman's finite sums theorem and its application to topologizations of
algebras
October 3, 2018
|
Mathematics
General Topology
Combinatorics
Logic
Rings and Algebras
General Topology
Combinatorics
Logic
Rings and Algebras
The first part of the paper is a brief overview of Hindman's finite sums
theorem, its prehistory and a few of its further generalizations, and a modern
technique used in proving these and similar results, which is based on
idempotent ultraf...
Erd\H{o}s-Rado Classes
October 2, 2018
Mathematics
Logic
We amalgamate two generalizations of Ramsey's Theorem--Ramsey classes and the
Erd\H{o}s-Rado Theorem--into the notion of a combinatorial Erd\H{o}s-Rado
class. These classes are closely related to Erd\H{o}s-Rado classes, which are
those from...
Global Minimality in Constrained Inverse Source Problems for Complex
Electromagnetic Media
October 1, 2018
|
Physics
Mathematics
Mathematical Physics
Mathematical Physics
Mathematical Physics
Mathematical Physics
Global minimality, boundedness, and uniqueness are established for a general,
physically motivated class of inverse source problems in non-homogeneous
electromagnetic media with generalized constitutive parameters. The existence
of a soluti...
Borel Complexity and the Schr\"oder-Bernstein Property
September 30, 2018
Mathematics
Logic
We introduce a new invariant of Borel reducibility, namely the notion of
thickness; this associates to every sentence Φ of Lω1ω and to every cardinal λ, the thickness τ(Φ,λ)
of Φ a...
Equivariant K-theory and refined Vafa-Witten invariants
September 28, 2018
Mathematics
Physics
Algebraic Geometry
High Energy Physics - Theory
In [MT2] the Vafa-Witten theory of complex projective surfaces is lifted to
oriented C∗-equivariant cohomology theories. Here we study the
K-theoretic refinement. It gives rational functions in t1/2 invariant
under $t^{1/2}\...
Probabilistic Analysis of Edge Elimination for Euclidean TSP
September 27, 2018
Computer Science
Mathematics
Discrete Mathematics
Computational Complexity
Data Structures and Algorithms
Combinatorics
One way to speed up the calculation of optimal TSP tours in practice is
eliminating edges that are certainly not in the optimal tour as a preprocessing
step. In order to do so several edge elimination approaches have been proposed
in the pa...