Geometry, Topology and Combinatorics of large random simplicial complexes
Lead Research Organisation:
Queen Mary University of London
Department Name: Sch of Mathematical Sciences
Abstract
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Publications
Even-Zohar C
(2022)
Ample simplicial complexes
in European Journal of Mathematics
Farber M
(2020)
Random simplicial complexes in the medial regime
in Topology and its Applications
Farber M
(2019)
Random simplicial complexes, duality and the critical dimension
in Journal of Topology and Analysis
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N50953X/1 | 30/09/2016 | 29/09/2021 | |||
| 1936239 | Studentship | EP/N50953X/1 | 30/09/2017 | 30/03/2021 | Lewis Mead |
| Description | A generalised of a network (think the tube map) is to simplicial complexes, an object that encodes not just pairwise connections but also if 3, 4, 5, etc. things are talking to each other at once. Random graphs have been intensely studied since the 50s, the concept of random simplicial complexes first appeared in the mid 2000s. My research has developed a new model for random simplicial complexes, looked at its connections to previous models and answered some questions of what one expects a "generic" random object to look like. |
| Exploitation Route | Potential to be used in some network science for large networks where one cares about higher dimensional interactions (e.g. neurons in the brain). |
| Sectors | Digital/Communication/Information Technologies (including Software) |