The projective unitary group PU(n) is the quotient of the unitary group U(n)
by its center. We compute the integral cohomology ring of PU(n) using explicit
constructed generators....
Pm Interior Penalty Nonconforming Finite Element Methods
for 2m-th Order PDEs in Rn
October 20, 2017
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Numerical Analysis
Numerical Analysis
In general n-dimensional simplicial meshes, we propose a family of interior
penalty nonconforming finite element methods for 2m-th order partial
differential equations, where m≥0 and n≥1. For this family of
nonconforming f...
A factorisation theory for generalised power series and omnific integers
October 19, 2017
|
Mathematics
Rings and Algebras
Logic
We prove that in every ring of generalised power series with non-positive
real exponents and coefficients in a field of characteristic zero, every series
admits a factorisation into finitely many irreducibles of infinite support, the
number...
BPZ equations for higher degenerate fields and non-perturbative
Dyson-Schwinger equations
October 18, 2017
|
Physics
High Energy Physics - Theory
In the two-dimensional Liouville conformal field theory, correlation
functions involving a degenerate field satisfy partial differential equations
due to the decoupling of the null descendant field. On the other hand, the
instanton partitio...
Factorization homology of enriched ∞-categories
October 17, 2017
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Mathematics
Physics
Algebraic Topology
Mathematical Physics
Category Theory
Mathematical Physics
Quantum Algebra
For an arbitrary symmetric monoidal ∞-category V, we
define the factorization homology of V-enriched
(∞,1)-categories over (possibly stratified) 1-manifolds and study some
of its basic properties. In th...
Models for elementary particles under a unified framework without making
use of gauge symmetry
October 16, 2017
|
Physics
General Physics
General Physics
This paper consists of two parts. In the first part, a concise reformulation
is derived for that part of the Glashow-Weinberg-Salam (GWS) electroweak
interaction Hamiltonian, which describes interactions between leptons (in the
first genera...
Weil groups and F-isocrystals
October 16, 2017
|
Mathematics
Number Theory
Algebraic Geometry
Number Theory
Algebraic Geometry
We show that much of local class theory can be deduced from the
Dieudonn\'e-Manin structure theory for F-isocrystals on an algebraically
closed field of characteristic p>0. As a consequence we get a new proof of a
formula of Dwork for t...
Estimate exponential memory decay in Hidden Markov Model and its
applications
October 16, 2017
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Statistics
Machine Learning
Methodology
Inference in hidden Markov model has been challenging in terms of scalability
due to dependencies in the observation data. In this paper, we utilize the
inherent memory decay in hidden Markov models, such that the forward and
backward proba...
Smeared quasidistributions in perturbation theory
October 12, 2017
Physics
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Quasi and pseudo distributions provide a new approach to determining parton
distribution functions (PDFs) from first principles' calculations of quantum
chromodynamics (QCD). Here I calculate the flavor nonsinglet unpolarized quasi
distribu...
Fractoconvex structures
October 11, 2017
Mathematics
General Mathematics
We define a new structure on a space endowed with convexities, and call it a
fractoconvex structure (or, a space with fractoconvexity). We introduce two
operations on a set of fractoconvexities and in a special case we show that
they satisf...