ON RANDOM WALKS ON WREATH PRODUCTS

By C. Pittet, L. Saloff‐Coste. 2002

87 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c1d04c80747d6bc0905cee22ccb3058c3bccd3f3

How researchers see this paper

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

In Computational Theory and Mathematics

1. Yuval Peres
2. Assaf Naor
3. Jérémie Brieussel
4. Alexander Grigorʼyan
5. Tianyi Zheng
6. T. Coulhon
7. C. Pittet
8. Mikko Parviainen

In Geometry and Topology

1. T. Coulhon
2. Alexander Grigorʼyan
3. Jérémie Brieussel
4. Tianyi Zheng
5. Yuval Peres
6. Assaf Naor
7. C. Pittet
8. Martin T. Barlow

In Mathematical Physics

1. Jérémie Brieussel
2. Tianyi Zheng
3. Yuval Peres
4. T. Coulhon
5. Alexander Grigorʼyan
6. C. Pittet
7. Assaf Naor
8. Martin T. Barlow

Citations in the corpus

• Speed of random walks, isoperimetry and compression of finitely generated groups (2015, background): “The lower bound on − log q (e∆) follows from the decay of return probability on ∆0, see [PSC02],”
• A geometric approach to on-diagonal heat kernel lower bounds on groups (2001, background): “Ifλ is transcendental then the behavior of ϕΓ(k) on this group is different (see [ 35 ] and Remark 7.2).”
• Random walks on finite rank solvable groups (2003, unknown): “This follows from technics developed in [21].”
• Embeddings of Discrete Groups and the Speed of Random Walks (2007, background): “This implies (11) since Pittet and Salo ff-Coste [31] proved that for all k ≥ 2 there existsc,C > 0 such that for G = Z(k) we have for allt ≥ 1”