Given a smooth foliation on a closed manifold, basic forms are differential
forms that can be expressed locally in terms of the transverse variables. The
space of basic forms yields a differential complex, because the exterior
derivative fi...
Adaptive Two-stage Stochastic Programming with an Analysis on Capacity
Expansion Planning Problem
June 8, 2019
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Mathematics
Optimization and Control
Multi-stage stochastic programming is a well-established framework for
sequential decision making under uncertainty by seeking policies that are fully
adapted to the uncertainty. Often such flexible policies are not desirable, and
the decis...
Complex structure degenerations and collapsing of Calabi-Yau metrics
June 7, 2019
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Mathematics
Physics
Differential Geometry
Mathematical Physics
Algebraic Geometry
Analysis of PDEs
Mathematical Physics
In this paper, we make progress on understanding the collapsing behavior of
Calabi-Yau metrics on a degenerating family of polarized Calabi-Yau manifolds.
In the case of a family of smooth Calabi-Yau hypersurfaces in projective space
degene...
Polar Jet Stream Fluctuations in an Energy Balance Model
June 7, 2019
| |
Physics
Atmospheric and Oceanic Physics
We investigate the effect of increased longwave radiative forcing (a proxy
for increased greenhouse gas concentration) on the zonally averaged location of
the eddy-driven jet stream in a latitude dependent, two-layer Energy Balance
Model. T...
Quantization of subgroups of the affine group
June 5, 2019
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Mathematics
Operator Algebras
Quantum Algebra
Operator Algebras
Quantum Algebra
Consider a locally compact group G=Q⋉V such that V is abelian and
the action of Q on the dual abelian group V^ has a free orbit of full
measure. We show that such a group G can be quantized in three equivalent
ways: (1)...
A Survey of Behavior Learning Applications in Robotics -- State of the
Art and Perspectives
June 5, 2019
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Computer Science
Robotics
Machine Learning
Recent success of machine learning in many domains has been overwhelming,
which often leads to false expectations regarding the capabilities of behavior
learning in robotics. In this survey, we analyze the current state of machine
learning ...
Signaletic operads
June 5, 2019
|
Mathematics
Combinatorics
We introduce k-signaletic operads and their Koszul duals, generalizing the
dendriform, diassociative and duplicial operads (which correspond to the k=1
case). We show that the Koszul duals of the k-signaletic operads act on
multipermu...
Survey on Publicly Available Sinhala Natural Language Processing Tools
and Research
June 5, 2019
Computer Science
Computation and Language
Sinhala is the native language of the Sinhalese people who make up the
largest ethnic group of Sri Lanka. The language belongs to the globe-spanning
language tree, Indo-European. However, due to poverty in both linguistic and
economic capit...
Lagrangian tens of planes, Enriques surfaces and holomorphic symplectic
fourfolds
June 4, 2019
|
Mathematics
Algebraic Geometry
The Fano models of Enriques surfaces produce a family of tens of mutually
intersecting planes in P5 with a 10-dimensional moduli space. The
latter is linked to several 10-dimensional moduli spaces parametrizing other
types of o...
Interface-resolved simulations of small inertial particles in turbulent
channel flow
June 4, 2019
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Physics
Fluid Dynamics
Soft Condensed Matter
We present a direct comparison between interface-resolved and one-way-coupled
point-particle direct numerical simulations (DNS) of gravity-free turbulent
channel flow laden with small inertial particles, with high particle-to-fluid
density ...