Right orthogonal class of pure projective modules over pure hereditary
rings
May 12, 2016
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Mathematics
Rings and Algebras
We denote by W the class of all pure projective modules. Present
article we investigate W-injective modules and these modules are
defined via the vanishing of cohomology of pure projective modules. First we
prove tha...
Lipschitz continuity in the Hurst parameter of functionals of stochastic
differential equations driven by a fractional Brownian motion
May 11, 2016
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Mathematics
Probability
Sensitivity analysis w.r.t. the long-range/memory noise parameter for
probability distributions of functionals of solutions to stochastic
differential equations is an important stochastic modeling issue in many
applications.
In this paper...
Calabi-Yau structures on topological Fukaya categories
May 9, 2016
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Mathematics
Algebraic Geometry
Symplectic Geometry
We develop a local-to-global formalism for constructing Calabi-Yau structures
for global sections of constructible sheaves or cosheaves of categories. The
required data - an isomorphism of the sheafified Hochschild homology with the
topolog...
hp-Version space-time discontinuous Galerkin methods for parabolic
problems on prismatic meshes
May 4, 2016
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
We present a new hp-version space-time discontinuous Galerkin (dG) finite
element method for the numerical approximation of parabolic evolution equations
on general spatial meshes consisting of polygonal/polyhedral (polytopic)
elements, g...
Intersection norms on surfaces and Birkhoff cross sections
April 22, 2016
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Mathematics
Geometric Topology
Dynamical Systems
Geometric Topology
Dynamical Systems
For every finite collection of curves on a surface, we define an associated
(semi-)norm on the first homology group of the surface. The unit ball of the
dual norm is the convex hull of its integer points. We give an interpretation
of these ...
Discrete stress-energy tensor in the loop O(n) model
April 21, 2016
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Physics
Mathematics
Mathematical Physics
Mathematical Physics
Probability
Mathematical Physics
Mathematical Physics
Probability
We study the loop O(n) model on the honeycomb lattice. By means of local
non-planar deformations of the lattice, we construct a discrete stress-energy
tensor. For n∈[0,2], it gives a new observable satisfying a part of
Cauchy-Riemann...
Algebras of conjugacy classes in symmetric groups
April 19, 2016
Mathematics
Group Theory
Representation Theory
In 1999 V. Ivanov and S. Kerov observed that structure constants of algebras
of conjugacy classes of symmetric groups Sn admit a stabilization (in a
non-obvious sense) as n→∞. We extend their construction to a class of
pairs of...
Principal Sub-manifolds
April 14, 2016
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Statistics
Methodology
We propose a novel method of finding principal components in multivariate
data sets that lie on an embedded nonlinear Riemannian manifold within a
higher-dimensional space. Our aim is to extend the geometric interpretation of
PCA, while bei...
Connecting Through Obstruction; Relating Gauge Gravity and String Theory
April 13, 2016
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Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In this article we provide a more detailed account of the geometry and
topology of the composite bundle formalism introduced by Tresguerres in Phys.
Rev. D 66 (2002) 064025 [1] to accommodate gravitation as a gauge theory. In
the first half...
Proposal for an experiment to verify Wigner's rotation at
non-relativistic speeds with massive spin-1/2 particles
April 12, 2016
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Physics
Quantum Physics
Quantum Physics
The Wigner rotation of quantum particles with spin is one of the fascinating
consequences of interplay between special relativity and quantum mechanics. In
this paper we show that a direct experimental verification of Wigner's rotation
is i...