Cusp Universality for Random Matrices I: Local Law and the Complex
Hermitian Case
September 11, 2018
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Mathematics
Physics
Probability
Mathematical Physics
Mathematical Physics
For complex Wigner-type matrices, i.e. Hermitian random matrices with
independent, not necessarily identically distributed entries above the
diagonal, we show that at any cusp singularity of the limiting eigenvalue
distribution the local ei...
Localization of Brain Activity from EEG/MEG Using MV-PURE Framework
September 11, 2018
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Electrical Engineering and Systems Science
Quantitative Biology
Signal Processing
Neurons and Cognition
We consider the problem of localization of sources of brain electrical
activity from electroencephalographic (EEG) and magnetoencephalographic (MEG)
measurements using spatial filtering techniques. We propose novel reduced-rank
activity ind...
Anyon exclusions statistics on surfaces with gapped boundaries
September 7, 2018
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Physics
Mathematics
Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
Mathematical Physics
An anyon exclusion statistics, which generalizes the Bose-Einstein and
Fermi-Dirac statistics of bosons and fermions, was proposed by Haldane[1]. The
relevant past studies had considered only anyon systems without any physical
boundary but ...
Design and testing of 3D-printed micro-architectured polymer materials
exhibiting a negative Poisson's ratio
September 7, 2018
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Physics
Applied Physics
This work proposes the complete design cycle for several auxetic materials
where the cycle consists of three steps (i) the design of the
micro-architecture, (ii) the manufacturing of the material and (iii) the
testing of the material. We us...
Misreading EPR: Variations on an Incorrect Theme
September 5, 2018
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Physics
Quantum Physics
History and Philosophy of Physics
Quantum Physics
History and Philosophy of Physics
Notwithstanding its great influence in modern physics, the EPR
thought-experiment has been explained incorrectly a surprising number of times....
Fixing three dimensional geometries from entanglement entropies of
CFT2
September 5, 2018
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Physics
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Theory
General Relativity and Quantum Cosmology
In this paper, we propose a method of fixing the leading behaviors of three
dimensional geometries from the dual CFT2 entanglement entropies. We employ
only the holographic principle and do not use any assumption about the AdS/CFT
corres...
Pack and Detect: Fast Object Detection in Videos Using
Region-of-Interest Packing
September 5, 2018
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Computer Science
Computer Vision and Pattern Recognition
Machine Learning
Object detection in videos is an important task in computer vision for
various applications such as object tracking, video summarization and video
search. Although great progress has been made in improving the accuracy of
object detection i...
Optimal Sparse Singular Value Decomposition for High-dimensional
High-order Data
September 5, 2018
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Mathematics
Statistics
Statistics Theory
Methodology
Machine Learning
Statistics Theory
In this article, we consider the sparse tensor singular value decomposition,
which aims for dimension reduction on high-dimensional high-order data with
certain sparsity structure. A method named Sparse Tensor Alternating
Thresholding for S...
Generalized angle vectors, geometric lattices, and flag-angles
September 4, 2018
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Mathematics
Combinatorics
Metric Geometry
Interior and exterior angle vectors of polytopes capture curvature
information at faces of all dimensions and can be seen as metric variants of
f-vectors. In this context, Gram's relation takes the place of the
Euler--Poincar\'e relation ...
Uniform boundedness on extremal subsets in Alexandrov spaces
September 3, 2018
Mathematics
Differential Geometry
Metric Geometry
In this paper, we study extremal subsets in Alexandrov spaces with dimension
n, curvature ≥κ, and diameter ≤D. We show that the following
three quantities are uniformly bounded above in terms of n, κ, and
D: (1) t...