Polyhedral products over finite posets
March 19, 2019
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Mathematics
Algebraic Topology
Polyhedral products were defined by Bahri, Bendersky, Cohen and Gitler, to be
spaces obtained as unions of certain product spaces indexed by the simplices of
an abstract simplicial complex. In this paper we give a very general homotopy
theo...
Homological mirror symmetry for hypertoric varieties II (with an Appendix written jointly with Laurent C\^ot\'e and Justin Hilburn)
March 19, 2019
| |
Mathematics
Physics
Algebraic Geometry
Mathematical Physics
Mathematical Physics
Symplectic Geometry
In this paper, we prove a homological mirror symmetry equivalence for pairs
of multiplicative hypertoric varieties, and we calculate monodromy
autoequivalences of these categories by promoting our result to an equivalence
of perverse schobe...
Parametric Timed Pattern Matching
March 18, 2019
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Computer Science
Formal Languages and Automata Theory
Given a log and a specification, timed pattern matching aims at exhibiting
for which start and end dates a specification holds on that log. For example,
"a given action is always followed by another action before a given deadline".
This pro...
Spanning subspace configurations
March 18, 2019
Mathematics
Combinatorics
A {\em spanning configuration} in the complex vector space is
a sequence of linear subspaces of such that
. We present the integral cohomology of the
modul...
The Einstein Relation on Metric Measure Spaces
March 17, 2019
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Mathematics
Functional Analysis
Probability
Functional Analysis
Probability
This note is based on F. Burghart's master thesis at Stuttgart university
from July 2018, supervised by Prof. Freiberg.
We review the Einstein relation, which connects the Hausdorff, local walk and
spectral dimensions on a space, in the a...
Multi-camera calibration with pattern rigs, including for non-overlapping cameras: CALICO
March 15, 2019
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Computer Science
Computer Vision and Pattern Recognition
This paper describes CALICO, a method for multi-camera calibration suitable
for challenging contexts: stationary and mobile multi-camera systems, cameras
without overlapping fields of view, and non-synchronized cameras. Recent
approaches ar...
Lifting coarse homotopies
March 14, 2019
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Mathematics
Geometric Topology
Metric Geometry
Geometric Topology
Metric Geometry
Coarse geometry, and in particular coarse homotopy theory, has proven to be a
powerful tool for approaching problems in geometric group theory and higher
index theory. In this paper, we continue to develop theory in this area by
proving a C...
The triangle inequality for graded real vector spaces
March 14, 2019
|
Mathematics
General Mathematics
In this paper, we prove that a natural candidate for a homogeneous norm on a
graded Lie algebra of any length satisfies the triangle inequality which
answers Moskowitz's question....
Topological properties of Wazewski dendrite groups
March 13, 2019
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Mathematics
Group Theory
Dynamical Systems
Logic
Group Theory
Dynamical Systems
Logic
Homeomorphism groups of generalized Wa\.zewski dendrites act on the infinite
countable set of branch points of the dendrite and thus have a nice Polish
topology. In this paper, we study them in the light of this Polish topology.
The group o...
Quantum Walk and Quantum Billiards. Towards a better understanding of Quantum Chaos
March 12, 2019
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Physics
Quantum Physics
Quantum Physics
Quantum billiards have been simulated so far in many ways, but in this work a
new aproximation is considerated. This study is based on the quantum billiard
already obtained by others authors via a tensor product of two 1-D quantum
walks . C...