Marzieh Eidi - Research

Spectral Analysis/ Stochastic Process:

Irreducibility of Markov Chains on simplicial complexes, the Spectrum of the Discrete Hodge Laplacian and Homology,

Joint work with Sayan Mukherjee, arXiv/ Under Review, November 2023,

Higher Order Bipartiteness in Simplicial Complexes,

Joint work with Sayan Mukherjee, Under Review, March 2024
Topology and Dynamics:

Floer Homology: From Generalised Morse-Smale Dynamical Systems to Forman’s Combinatorial Vector Fields,

Joint work with Jürgen Jost, Communications in Mathematics and Statistics, 2022

Geometry, Optimal Transport and Data Analysis:

Ricci Flow: A powerful geometric tool for Community detection in Location-based Social Networks (LBSNs),

Joint work with Elahe Karampour and Mohammad Reza Malek, Under Review, April 2024

Ollivier Ricci Curvature of Directed Hypergraphs,

Joint work with Jürgen Jost, Nature Scientific Reports 2020

Ricci Curvature of Random and Empirical Directed Hypernetworks,

Joint work with Wilmer Leal and Jürgen Jost, Applied Network Sciences 2020

Edge-Based Analysis of Networks; Curvature of Graphs and Hypergraphs,

Joint work with Amir Farzam, Wilmer Leal, Areejit Samal, and Jürgen Jost, Theory in Biosciences 2020

Curvature-based analysis of Directed Hypernetworks (Extended Abstract),

Joint work with Wilmer Leal and Jürgen Jost, The 8th International Conference on Complex Networks and their Applications, Lisbon, Portugal 2019

PhD. Dissertation: Topological and Geometric Methods with a View Towards Data Analysis, 2022