# Hitting times, commute times, and cover times for random walks on random hypergraphs

@article{Helali2019HittingTC, title={Hitting times, commute times, and cover times for random walks on random hypergraphs}, author={Amine Helali and Matthias Lowe}, journal={Statistics \& Probability Letters}, year={2019} }

## 8 Citations

### A Central Limit Theorem for the average target hitting time for a random walk on a random graph

- Mathematics
- 2021

. Consider a simple random walk on a realization of an Erd˝os-R´enyi graph. Assume that it is asymptotically almost surely (a.a.s.) connected. Conditional on an eigenvector delocalization conjecture,…

### Random walks and community detection in hypergraphs

- MathematicsJournal of Physics: Complexity
- 2021

A one-parameter family of random walk processes on hypergraphs, where a parameter biases the dynamics of the walker towards hyperedges of low or high cardinality, is proposed and tested on artificial and real-world hyper graphs.

### Spectra of Random Regular Hypergraphs

- MathematicsElectron. J. Comb.
- 2021

The main result is an analog of Alon's conjecture for the spectral gap of the random regular hypergraphs, which relates the second eigenvalues to both its expansion property and the mixing rate of the non-backtracking random walk on regular hyper graphs.

### Random walks on hypergraphs

- Computer SciencePhysical review. E
- 2020

This work contributes to unraveling the effect of higher-order interactions on diffusive processes in higher- order networks, shedding light on mechanisms at the heart of biased information spreading in complex networked systems.

### A Central Limit Theorem for the Mean Starting Hitting Time for a Random Walk on a Random Graph

- MathematicsJournal of Theoretical Probability
- 2022

<jats:p>We consider simple random walk on a realization of an Erdős–Rényi graph with <jats:italic>n</jats:italic> vertices and edge probability…

### Missing Mass in Markov Chains

- Mathematics
- 2020

—The problem of missing mass in statistical inference (posed by McAllester and Ortiz, NIPS’02; most recently revisited by Changa and Thangaraj, ISIT’2019) seeks to estimate the weight of symbols that…

### On some building blocks of hypergraphs: units, twin-units, regular, co-regular, and symmetric sets

- Mathematics
- 2022

. Here, we introduce and investigate diﬀerent building blocks, named units, twin units, regular sets, symmetric sets, and co-regular sets in a hypergraph. Our work shows that the presence of these…

### Modelling non-linear consensus dynamics on hypergraphs

- MathematicsJournal of Physics: Complexity
- 2021

The non-linear dynamics of consensus on hypergraphs is explored, allowing for interactions within hyperedges of any cardinality, and the role of involvement and stubbornness on polarisation is explored.

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