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...
Macroscopic limit from a structured population model to the
Kirkpatrick-Barton model
June 13, 2017
|
Mathematics
Analysis of PDEs
Analysis of PDEs
We consider an ecology model in which the population is structured by a
spatial variable and a phenotypic trait. The model combines a parabolic
operator on the spatial variable with a kinetic operator on the trait variable.
We prove the exi...
Security Camera Movie and ERP Data Matching System to Prevent Theft
June 12, 2017
| |
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
|
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
|
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)...
Topology of irrationally indifferent attractors
June 8, 2017
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Mathematics
Dynamical Systems
Functional Analysis
Number Theory
Dynamical Systems
Functional Analysis
Number Theory
We study the post-critical set of a class of holomorphic systems with an
irrationally indifferent fixed point. We prove a trichotomy for the topology of
the post-critical set based on the arithmetic of the rotation number at the
fixed point...
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
|
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...
Mapping properties of the Hilbert and Fubini--Study maps in K\"ahler
geometry
May 31, 2017
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Mathematics
Differential Geometry
Differential Geometry
Suppose that we have a compact K\"ahler manifold X with a very ample line
bundle L. We prove that any positive definite hermitian form on the
space H0(X,L) of holomorphic sections can be written as an
L2-inner...