Random Walks and Heat Kernels on Graphs

By Martin T. Barlow. 2017

141 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c1f1d84747df4294fa04de4caeb8e85687fb9ea3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yuval Peres
2. David A. Levin
3. M. Kassmann
4. Renming Song
5. Manjunath Krishnapur
6. Mikko Parviainen
7. Zoran Vondraček
8. Pablo Shmerkin

In Geometry and Topology

1. Yuval Peres
2. David A. Levin
3. Pablo Shmerkin
4. Manjunath Krishnapur
5. Michael Hochman
6. Assaf Naor
7. De-Jun Feng
8. Terence Tao

In Mathematical Physics

1. David A. Levin
2. Yuval Peres
3. Pablo Shmerkin
4. Michael Hochman
5. M. Kassmann
6. Takashi Kumagai
7. Alexander E. Holroyd
8. Jonathan M. Fraser

Citations in the corpus

• Markov Chains and Mixing Times: Second Edition (2017, background): “For much more on infinite networks, see Soardi (1994), Woess (2000), Lyons and Peres (2016), and Barlow (2017). Pólya’s Urn is used to construct flows in Levin and Peres (2010), proving the transience of Z for d ≥ 3. For more on Markov chains with infinite state spaces, see, e.g., Feller (1968), Nor”