Skip to Main content Skip to Navigation
Journal articles

Critical multi-type Galton- Watson trees conditioned to be large

Abstract : Under minimal condition, we prove the local convergence of a critical multi-type Galton-Watson tree conditioned on having a large total progeny by types towards a multi-type Kesten's tree. We obtain the result by generalizing Neveu's strong ratio limit theorem for aperiodic random walks on Z^d .
Complete list of metadatas

Cited literature [24 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01224696
Contributor : Romain Abraham <>
Submitted on : Monday, September 26, 2016 - 4:56:31 PM
Last modification on : Monday, February 18, 2019 - 5:08:03 PM

Files

multitype-revised.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Romain Abraham, Jean-François Delmas, Hongsong Guo. Critical multi-type Galton- Watson trees conditioned to be large. Journal of Theoretical Probability, Springer, 2018, pp.757-788. ⟨10.1007/s10959-016-0739-8⟩. ⟨hal-01224696v2⟩

Share

Metrics

Record views

359

Files downloads

289