A differentiable monoid of smooth maps on Lie groupoids
June 15, 2017
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Mathematics
Group Theory
Differential Geometry
In this article we investigate a monoid of smooth mappings on the space of
arrows of a Lie groupoid and its group of units. The group of units turns out
to be an infinite-dimensional Lie group which is regular in the sense of
Milnor. Furthe...
On derived equivalence for Abuaf flop: mutation of non-commutative
crepant resolutions and spherical twists
June 14, 2017
Mathematics
Algebraic Geometry
Commutative Algebra
Rings and Algebras
Recently, Segal constructed a derived equivalence for an interesting 5-fold
flop that was provided by Abuaf. The aim of this article is to add some results
for the derived equivalence for Abuaf's flop. Concretely, we study the
equivalence f...
Security Camera Movie and ERP Data Matching System to Prevent Theft
June 12, 2017
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Computer Science
Computers and Society
In this paper, we propose a SaaS service which prevents shoplifting using
image analysis and ERP. In Japan, total damage of shoplifting reaches 450
billion yen. Based on cloud and data analysis technology, we propose a
shoplifting preventio...
The face numbers of homology spheres
June 11, 2017
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Mathematics
Combinatorics
Commutative Algebra
Rings and Algebras
The g-theorem is a momentous result in combinatorics that gives a complete
numerical characterization of the face numbers of simplicial convex polytopes.
The g-conjecture asserts that the same numerical conditions given in the
g-theor...
Strongly Dependent Ordered Abelian Groups and Henselian Fields
June 11, 2017
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Mathematics
Logic
Group Theory
Strongly dependent ordered abelian groups have finite dp-rank. They are
precisely those groups with finite spines and ∣{p prime:[G:pG]=∞}∣<∞. We apply this to show that if K is a
strongly dependent field, then (K,v)...
Experiments of posture estimation on vehicles using wearable
acceleration sensors
June 6, 2017
Computer Science
Human-Computer Interaction
Distributed, Parallel, and Cluster Computing
In this paper, we study methods to estimate drivers' posture in vehicles
using acceleration data of wearable sensor and conduct a field test. Recently,
sensor technologies have been progressed. Solutions of safety management to
analyze vita...
Reversed Dickson polynomials of the (k+1)-th kind over finite fields,
II
June 5, 2017
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Mathematics
Number Theory
Number Theory
Let p be an odd prime. In this paper, we study the permutation behaviour of
the reversed Dickson polynomials of the (k+1)-th kind Dn,k(1,x) when
n=pl1+3, n=pl1+pl2+pl3, and
n=pl1+pl2+pl3+pl4, w...
On nonlinear instability of Prandtl's boundary layers: the case of
Rayleigh's stable shear flows
June 5, 2017
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Mathematics
Physics
Mathematical Physics
Mathematical Physics
Analysis of PDEs
In 1904, Prandtl introduced his famous boundary layer in order to describe
the behavior of solutions of Navier Stokes equations near a boundary as the
viscosity goes to 0. His Ansatz has later been justified for analytic data by
R.E. Cafl...
Birkhoff's Theorem for Quasi-Metric Gravity
May 31, 2017
Physics
General Relativity and Quantum Cosmology
Working within the quasi-metric framework (QMF), it is examined if the
gravitational field exterior to an isolated, spherically symmetric body is
necessarily metrically static, or equivalently, whether or not Birkhoff's
theorem holds for qu...
Counterfactual Multi-Agent Policy Gradients
May 24, 2017
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Computer Science
Artificial Intelligence
Multiagent Systems
Artificial Intelligence
Multiagent Systems
Cooperative multi-agent systems can be naturally used to model many real
world problems, such as network packet routing and the coordination of
autonomous vehicles. There is a great need for new reinforcement learning
methods that can effic...