Singularities of Gaussian random maps into the plane

DOI10.1007/s41468-023-00113-0arXiv2202.08242MaRDI QIDQ6074054

P. K. Mishal Assif

Publication date: 18 September 2023

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.08242

zbMATH Keywords

persistent homologyGaussian random fieldsbiparametric persistence

Mathematics Subject Classification ID

Gaussian processes (60G15) Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)

Cites Work

• Unnamed Item
• Topology of random geometric complexes: a survey
• Expected number and height distribution of critical points of smooth isotropic Gaussian random fields
• Nodal length fluctuations for arithmetic random waves
• Distance functions, critical points, and the topology of random Čech complexes
• On the geometrical properties of the coherent matching distance in 2D persistent homology
• Complexity of random smooth functions on the high-dimensional sphere
• Level Sets and Extrema of Random Processes and Fields
• Random Matrices and Complexity of Spin Glasses
• Isotropic random spin weighted functions on 𝑆² vs isotropic random fields on 𝑆³
• Random Fields and Geometry

This page was built for publication: Singularities of Gaussian random maps into the plane