Collection
Random Topology
- Submission status
- Closed
Studies on the geometry of spatial random structures (e.g., random graphs, sets and fields) have naturally led to the research of the topology of such structures, forming the relatively new field of Random Topology. Questions in this area are often motivated by the desire to explore higher-dimensional versions of classical lower-dimensional results, as well as by applications in Topological Data Analysis. This special issue will group together a variety of topics at the intersections of Topology, Probability, Combinatorics, and Statistics, with the aim of highlighting recent developments in Random Topology and related fields. We already have commitments for a number of papers by some of the leading researchers in this area and we would like to invite more papers exploring both applied and theoretical aspects of Random Topology.
Topics of interest include, but are not limited to: Topology of random simplicial complexes; Topology of Gaussian random fields; Higher-order Laplacians and spectral properties; Random walks on simplicial complexes; High-dimensional percolation; Random knots; Topological inference
Articles will undergo all of the journal's standard peer review and editorial processes outlined in its submission guidelines
Editors
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D. Yogeshwaran (Guest Editor)
Indian Statistical Institute, India
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Omer Bobrowski (Guest Editor)
Technion, Israel
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Robert Adler (APCT Editor)
Technion, Israel
Articles (13 in this collection)
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Torsion-weighted spanning acycle entropy in cubical lattices and Mahler measures
Authors
- Yasuaki Hiraoka
- Tomoyuki Shirai
- Content type: OriginalPaper
- Published: 24 February 2024
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Large deviation principle for persistence diagrams of random cubical filtrations
Authors (first, second and last of 4)
- Shu Kanazawa
- Yasuaki Hiraoka
- Kenkichi Tsunoda
- Content type: OriginalPaper
- Published: 25 January 2024
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Local behavior of the Eden model on graphs and tessellations of manifolds
Authors (first, second and last of 4)
- Dongming Merrick Hua
- Fedor Manin
- Tianyi Wang
- Content type: OriginalPaper
- Open Access
- Published: 18 December 2023
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Largest nearest-neighbour link and connectivity threshold in a polytopal random sample
Authors
- Mathew D. Penrose
- Xiaochuan Yang
- Frankie Higgs
- Content type: OriginalPaper
- Open Access
- Published: 16 December 2023
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Simplicial branching random walks
Authors
- Ron Rosenthal
- Content type: OriginalPaper
- Published: 10 November 2023
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Multivariate central limit theorems for random clique complexes
Authors
- Tadas Temčinas
- Vidit Nanda
- Gesine Reinert
- Content type: OriginalPaper
- Open Access
- Published: 21 October 2023
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On the nodal structures of random fields: a decade of results
Authors
- Igor Wigman
- Content type: OriginalPaper
- Open Access
- Published: 30 September 2023
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Large simplicial complexes: universality, randomness, and ampleness
Authors
- Michael Farber
- Content type: OriginalPaper
- Open Access
- Published: 16 September 2023
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Random balanced Cayley complexes
Authors
- Roy Meshulam
- Content type: OriginalPaper
- Published: 22 August 2023
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Maximal persistence in random clique complexes
Authors
- Ayat Ababneh
- Matthew Kahle
- Content type: OriginalPaper
- Published: 10 July 2023
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On the consistency and asymptotic normality of multiparameter persistent Betti numbers
Authors
- Magnus B. Botnan
- Christian Hirsch
- Content type: OriginalPaper
- Published: 22 December 2022
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First Betti number of the path homology of random directed graphs
Authors
- Thomas Chaplin
- Content type: OriginalPaper
- Open Access
- Published: 04 December 2022