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A Generalized Discrete Morse–Floer Theory [PDF]
Communications in Mathematics and Statistics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jürgen Jost, Sylvia Yaptieu
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Discrete Morse theory on $ΩS^2$ [PDF]
Topology and its ApplicationsA classical result in Morse theory is the determination of the homotopy type of the loop space of a manifold. In this paper, we study this result through the lens of discrete Morse theory. This requires a suitable simplicial model for the loop space. Here, we use Milnor's $\textrm{F}^+\textrm{K}$ construction to model the loop space of the sphere $S^2$,
Lacey Johnson, K. Knudson
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A practical guide to characterising ecological coexistence. [PDF]
Biol Rev Camb Philos SocABSTRACT Coexistence is simultaneously one of the most fundamental concepts of ecology, and one of the most difficult to define. A particular challenge is that, despite a well‐developed body of research, several different schools of thought have developed over the past century, leading to multiple independent, and largely isolated, branches of ...
Clark AT +9 more
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Discrete Morse Theory for Khovanov Homology [PDF]
, 2023 35 pages, 19 figures.
Tuomas Kelomäki
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Line Structure Extraction from LiDAR Point Cloud Based on the Persistence of Tensor Feature
Applied Sciences, 2022 The LiDAR point cloud has been widely used in scenarios of automatic driving, object recognition, structure reconstruction, etc., while it remains a challenging problem in line structure extraction, due to the noise and accuracy, especially in data ...
Xuan Wang +3 more
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Discrete Stratified Morse Theory
Discrete & Computational Geometry, 2022 Inspired by the works of Forman on discrete Morse theory, which is a combinatorial adaptation to cell complexes of classical Morse theory on manifolds, we introduce a discrete analogue of the stratified Morse theory of Goresky and MacPherson. We describe the basics of this theory and prove fundamental theorems relating the topology of a general ...
Kevin Knudson, Bei Wang
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Combinatorial Topology of Toric arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We prove that the complement of a complexified toric arrangement has the homotopy type of a minimal CW-complex, and thus its homology is torsion-free.
Giacomo d'Antonio, Emanuele Delucchi
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International Journal of Applied Earth Observations and Geoinformation, 2023 Terrestrial laser scanning (TLS) is a ground-based approach to rapidly acquire 3D point clouds via Light Detection and Ranging (LiDAR) technologies. Quantifying tree-scale structure from TLS point clouds requires segmentation, yet there is a lack of ...
Xin Xu +4 more
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Boundary Value Problem for a Second-Order Difference Equation with Resonance
Complexity, 2020 In this paper, we study the existence and multiplicity of nontrivial solutions of a second-order discrete boundary value problem with resonance and sublinear or superlinear nonlinearity.
Zhenguo Wang, Zhan Zhou
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