Correlated interaction effects in three-dimensional semi-Dirac semimetal
January 14, 2021
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Physics
Strongly Correlated Electrons
Materials Science
Understanding the correlation effects in unconventional topological
materials, in which the fermion excitations take unusual dispersion, is an
important topic in recent condensed matter physics. We study the influence of
short-range four-fe...
Lecture notes on high-dimensional data
January 14, 2021
Mathematics
Functional Analysis
These are lecture notes based on the first part of a course on 'Mathematical
Data Science', which I taught to final year BSc students in the UK in
2019-2020. Topics include: concentration of measure in high dimensions;
Gaussian random vecto...
Towards Accurate Camouflaged Object Detection with Mixture Convolution
and Interactive Fusion
January 14, 2021
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Computer Science
Computer Vision and Pattern Recognition
Camouflaged object detection (COD), which aims to identify the objects that
conceal themselves into the surroundings, has recently drawn increasing
research efforts in the field of computer vision. In practice, the success of
deep learning ...
Agglomerative Hierarchical Clustering for Selecting Valid Instrumental
Variables
January 14, 2021
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Statistics
Methodology
Machine Learning
We propose a procedure which combines hierarchical clustering with a test of
overidentifying restrictions for selecting valid instrumental variables (IV)
from a large set of IVs. Some of these IVs may be invalid in that they fail the
exclus...
A Strong Bisimulation for a Classical Term Calculus
January 14, 2021
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Computer Science
Logic in Computer Science
When translating a term calculus into a graphical formalism many inessential
details are abstracted away. In the case of λ-calculus translated to
proof-nets, these inessential details are captured by a notion of equivalence
on $\lam...
Uniform resonance free regions for convex cocompact hyperbolic surfaces
and expanders
January 14, 2021
Mathematics
Spectral Theory
Dynamical Systems
Geometric Topology
Number Theory
We prove that every family of coverings of any infinite-area, convex
cocompact hyperbolic surface has uniform spectral gap, provided that the
associated Schreier graphs form a family of two-sided expanders. This extends
the results of Brook...
Newton-Okounkov bodies and Picard numbers on surfaces
January 13, 2021
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Mathematics
Algebraic Geometry
Commutative Algebra
Algebraic Geometry
Commutative Algebra
We study the shapes of all Newton-Okounkov bodies Δv(D) of a given
big divisor D on a surface S with respect to all rank 2 valuations v of
K(S). We obtain upper bounds for, and in many cases we determine exactly, the
possi...
Temporal Recurring Unavailabilities in Multi-agent Rural Postman
Problem: Navigating railway tracks during availability time intervals
January 13, 2021
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Mathematics
Optimization and Control
Time-dependent (or temporal) properties may arise in many network-based
planning problems, particularly in the routing and scheduling of railway track
inspection problems. The availability of tracks depends on the train schedules,
maintenan...
An inclusion-exclusion principle for tautological sheaves on Hilbert
schemes of points
January 13, 2021
Mathematics
Algebraic Geometry
We show an equation of Euler characteristics of tautological sheaves on
Hilbert schemes of points on the fibers of a double point degeneration. This
equation resembles a computation of such Euler characteristics via a
combinatorial inclusio...
A Review of results on axially symmetric Navier-Stokes equations, with
addendum by X. Pan and Q. S. Zhang
January 13, 2021
Mathematics
Analysis of PDEs
In this paper, we give a brief survey of recent results on axially symmetric
Navier-Stokes equations (ASNS) in the following categories: regularity
criterion, Liouville property for ancient solutions, decay and vanishing of
stationary solut...