We investigate the point process of persistent diagram for Brownian motions
with drift, obtaining some of its basic characteristics. Further we introduce
and study the refinement of the persistent homology, assigning to each bar its
chirali...
Efficient estimation of the modified Gromov-Hausdorff distance between
unweighted graphs
September 21, 2019
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Computer Science
Mathematics
Computational Geometry
Geometric Topology
Metric Geometry
Gromov-Hausdorff distances measure shape difference between the objects
representable as compact metric spaces, e.g. point clouds, manifolds, or
graphs. Computing any Gromov-Hausdorff distance is equivalent to solving an
NP-Hard optimizatio...
Upper Ramification Groups for Arbitrary Valuation Rings
September 21, 2019
|
Mathematics
Number Theory
Algebraic Geometry
T. Saito established a ramification theory for ring extensions locally of
complete intersection. We show that for a Henselian valuation ring A with
field of fractions K and for a finite Galois extension L of K, the
integral closure ...
Supercuspidal representations of GLn(F) distinguished by a
unitary involution
September 20, 2019
|
Mathematics
Representation Theory
Number Theory
Representation Theory
Number Theory
Let F/F0 be a quadratic extension of non-archimedean locally compact
fields of residue characteristic p=2. Let R be an algebraically closed
field of characteristic different from p. For π a supercuspidal
representation of...
A Note on Fuzzy Automorphism and Inner Automorphism of Groups
September 20, 2019
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Mathematics
Group Theory
The fuzzification of classical set theory came into existence when Zadeh [1]
laid down the concept of a fuzzy set as a generalization of a crisp set. The
objective of this paper is to extend the concept of fuzzy endomorphism to fuzzy
automo...
Good Lambda Inequalities and Variable Orlicz Hardy Spaces
September 20, 2019
Mathematics
Complex Variables
We prove a general theorem showing that local good-λ inequalities
imply bounds in certain variable Orlicz spaces. We use this to prove results
about variable Orlicz Hardy spaces in the unit disc....
Neutralization of low energy Na+ scattered from InAs(001)
September 20, 2019
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Physics
Materials Science
Mesoscale and Nanoscale Physics
The neutralization probability of low energy Na+ ions scattered from In-
and As-rich InAs(001) surfaces is measured by time-of-flight spectroscopy. It
is found that the neutralization probability for projectiles scattered from As
sites...
Small MMI with simplified coherent coupling branches used to develop a
lower footprint power splitter on SOI platform
September 20, 2019
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Physics
Optics
In this paper, we introduce a new approach to fabricate under the Silicon on
Insulator (SOI) platform a 1x2 power splitter and scale it to 1xN system device
from the proposed model. The current strategy of design is based on the
well-known ...
Elementary Methods for Persistent Homotopy Groups
September 19, 2019
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Mathematics
Algebraic Topology
In this paper, we study the basic properties of persistent homotopy groups.
We show that the persistent fundamental group benefits from the Van Kampen
theorem, and the interleaving distance between total spaces is less than or
equal to the ...
Homogenization of quadratic convolution energies in periodically
perforated domains
September 18, 2019
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Mathematics
Analysis of PDEs
Analysis of PDEs
We prove a homogenization theorem for quadratic convolution energies defined
in perforated domains. The corresponding limit is a Dirichlet-type quadratic
energy, whose integrand is defined by a non-local cell-problem formula. The
proof reli...