Holomorphically finitely generated Hopf algebras and quantum Lie groups
June 22, 2020
Mathematics
Functional Analysis
Quantum Algebra
Rings and Algebras
We study topological Hopf algebras that are holomorphically finitely
generated (HFG) as Fr\'echet Arens--Micheal algebras in the sense of
Pirkovskii. Some of them, but not all, can be obtained from affine Hopf
algebras by applying the analy...
Arnold's monotonicity problem
June 21, 2020
Mathematics
Algebraic Geometry
According to the Kouchnirenko formula, the Milnor number of a generic
isolated singularity with given Newton polyhedron is equal to the alternating
sum of certain volumes associated to the Newton polyhedron. In this paper we
obtain a non-ne...
Fully-heavy tetraquark states and their evidences in the LHC
observations
June 21, 2020
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Physics
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Stimulated by the exciting progress on the observations of the fully-charmed
tetraquarks at LHC, we carry out a combined analysis of the mass spectra and
fall-apart decays of the 1S-, 2S-, and 1P-wave cccˉcˉ states
in a no...
A Distributed Multi-Robot Coordination Algorithm for Navigation in Tight
Environments
June 20, 2020
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Computer Science
Robotics
This work presents a distributed method for multi-robot coordination based on
nonlinear model predictive control (NMPC) and dual decomposition. Our approach
allows the robots to coordinate in tight spaces (e.g., highway lanes, parking
lots,...
Quasiconvex functions on regular trees
June 20, 2020
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Mathematics
Analysis of PDEs
We introduce a definition of a quasiconvex function on an infinite directed
regular tree that depends on what we understood by a segment on the tree. Our
definition is based on thinking on segments as sub-trees with the root as the
midpoint...
Optimizing Monotone Chance-Constrained Submodular Functions Using
Evolutionary Multi-Objective Algorithms
June 19, 2020
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Computer Science
Neural and Evolutionary Computing
Machine Learning
Many real-world optimization problems can be stated in terms of submodular
functions. Furthermore, these real-world problems often involve uncertainties
which may lead to the violation of given constraints. A lot of evolutionary
multi-objec...
Additive Partial Matchings Induced by Persistence Morphisms
June 19, 2020
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Mathematics
Algebraic Topology
Rings and Algebras
Given a morphism of persistence modules (a.k.a. persistence morphism)
f:V→U, we introduce a novel operator that determines a
partial matching between the barcodes of V and U induced by f. We show
that the proposed ...
CDM Based Virtual FMCW MIMO Radar Imaging at 79GHz
June 19, 2020
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Electrical Engineering and Systems Science
Signal Processing
Multiple Input Multiple Output (MIMO) Frequency Modulated Continuous Wave
(FMCW) radars operating at 79GHz are compact, light and cost effective devices
with low peak-to-average power ratio that have applications in different areas
such as ...
On clusters and the multi-isoperimetric profile in Riemannian manifolds
with bounded geometry
June 19, 2020
Mathematics
Differential Geometry
Metric Geometry
For a complete Riemannian manifold with bounded geometry, we prove the
existence of isoperimetric clusters and also the compactness theorem for
sequence of clusters in a larger space obtained by adding finitely many limit
manifolds at infin...
Classification of critically fixed anti-Thurston maps
June 18, 2020
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Mathematics
Dynamical Systems
We provide a complete combinatorial classification of critically fixed
anti-Thurston maps, i.e., orientation-reversing branched covers of the 2-sphere
that fix every critical point. The first step in the proof, and an interesting
result in ...