On the invariance of the string topology coproduct
August 11, 2019
Mathematics
Algebraic Topology
Differential Geometry
Geometric Topology
We give a variant of Naef's formula for the failure of invariance of the
string topology coproduct under homotopy equivalences, using an obstruction
class build from the higher homotopy data one can associate to a homotopy
equivalence as we...
Large Scale Geometries of Infinite Strings
August 10, 2019
|
Computer Science
Logic in Computer Science
Formal Languages and Automata Theory
We introduce geometric consideration into the theory of formal languages. We
aim to shed light on our understanding of global patterns that occur on
infinite strings. We utilise methods of geometric group theory. Our emphasis is
on large sc...
Abnormal deflection of electrons crossing the boundary of two opposite
magnetic fields
August 10, 2019
|
Physics
General Physics
This paper reports an experiment about abnormal deflection of cathode-ray in
odd-symmetric magnetic field. The measurement results show that during
cathode-ray passes through odd-symmetric magnetic field, a deflection opposite
to Lorentz fo...
Cubulating Surface-by-free Groups
August 9, 2019
| |
Mathematics
Geometric Topology
Group Theory
Let 1→H→G→Q→1 be an exact sequence where H=π1(S) is
the fundamental group of a closed surface S of genus greater than one, G is
hyperbolic and Q is finitely generated free. The aim of this paper is to
provide...
Symmetry, Unimodality, and Lefschetz Properties for Graded Modules
August 9, 2019
Mathematics
Commutative Algebra
Algebraic Geometry
We investigate the Weak Lefschetz Properties for modules whose minimal free
resolutions are given by generalized Kosuzl complexes in dimension three
through a careful study of their Betti numbers and the symmetry and unimodality
of their Hi...
Toward a Taxonomy of Inventory Systems for Virtual Reality Games
August 9, 2019
| | |
Computer Science
Human-Computer Interaction
Virtual reality (VR) games are gradually becoming more elaborated and
feature-rich, but fail to reach the complexity of traditional digital games.
One common feature that is used to extend and organize complex gameplay is the
in-game invent...
Multi-view Deep Subspace Clustering Networks
August 6, 2019
| | | | |
Computer Science
Computer Vision and Pattern Recognition
Machine Learning
Multi-view subspace clustering aims to discover the inherent structure of
data by fusing multiple views of complementary information. Most existing
methods first extract multiple types of handcrafted features and then learn a
joint affinity...
Bounding Radon numbers via Betti numbers
August 5, 2019
|
Mathematics
Combinatorics
Combinatorics
We prove general topological Radon-type theorems for sets in Rd or
on a surface. Combined with a recent result of Holmsen and Lee, we also obtain
fractional Helly theorem, and consequently the existence of weak
ε-nets...
Structure of Resource Theory of Block Coherence
August 5, 2019
| | | | |
Physics
Quantum Physics
Emerging from the superposition principle, the resource theory of coherence
plays a crucial role in many information-processing tasks. Recently, a
generalization to this resource theory was investigated with respect to
arbitrary positive op...
A two-parameter entropy and its fundamental properties
August 5, 2019
| |
Physics
Computer Science
Mathematics
Mathematical Physics
Information Theory
Information Theory
Mathematical Physics
This article proposes a new two-parameter generalized entropy, which can be
reduced to the Tsallis and the Shannon entropy for specific values of its
parameters. We develop a number of information-theoretic properties of this
generalized en...