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Research Output

  • 18 Article
  • 1 Conference contribution
2019

The coalescent structure of continuous-time Galton-Watson trees

Harris, S., Johnston, S. & Roberts, M., 4 Sep 2019, (Acceptance date) In : Annals of Applied Probability. 44 p.

Research output: Contribution to journalArticle

10 Downloads (Pure)
2018

Mixing time bounds via bottleneck sequences

Addario-Berry, L. & Roberts, M., 1 Nov 2018, In : Journal of Statistical Physics. 173, 3-4, p. 845-871 27 p.

Research output: Contribution to journalArticle

Open Access
File
26 Downloads (Pure)
Open Access
File
1 Citation (Scopus)
30 Downloads (Pure)
2017

One-point localization for branching random walk in Pareto environment

Ortgiese, M. & Roberts, M., 17 Jan 2017, In : Electronic Journal of Probability. 22, 20 p., 6.

Research output: Contribution to journalArticle

Open Access
2 Citations (Scopus)

The many-to-few lemma and multiple spines

Harris, S. & Roberts, M., 8 Feb 2017, In : Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 53, 1, p. 226-242

Research output: Contribution to journalArticle

File
13 Citations (Scopus)
94 Downloads (Pure)

Vanishing corrections for the position in a linear model of FKPP fronts

Berestycki, J., Brunet, É., Harris, S. & Roberts, M., 30 Jan 2017, In : Communications in Mathematical Physics. 349, 3, p. 857-893 37 p.

Research output: Contribution to journalArticle

Open Access
File
6 Citations (Scopus)
116 Downloads (Pure)
2016

Has winning the lottery jackpot become too difficult?

Roberts, M., 13 Jan 2016, The Conversation.

Research output: Contribution to specialist publicationArticle

Open Access

Intermittency for branching random walk in Pareto environment

Ortgiese, M. & Roberts, M. I., 31 May 2016, In : Annals of Probability. 44, 3, p. 2198-2263 66 p.

Research output: Contribution to journalArticle

Open Access
4 Citations (Scopus)
36 Downloads (Pure)
2015

Fine asymptotics for the consistent maximal displacement of branching brownian motion

Roberts, M. I., 13 Mar 2015, In : Electronic Journal of Probability. 20, p. 1-26 26 p., 28.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
117 Downloads (Pure)

Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential

Berestycki, J., Brunet, É., Harris, J. W., Harris, S. C. & Roberts, M. I., 1 May 2015, In : Stochastic Processes and their Applications. 125, 5, p. 2096-2145

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
117 Downloads (Pure)

The number of ends of critical branching random walks

Candellero, E. & Roberts, M. I., 2015, In : ALEA Latin American Journal of Probability and Mathematical Statistics. 12, 1, p. 55-67 13 p.

Research output: Contribution to journalArticle

2014

A strong law of large numbers for branching processes: almost sure spine events

Harris, S. C. & Roberts, M. I., 8 May 2014, In : Electronic Communications in Probability. 19, p. 1-6 6 p., 28.

Research output: Contribution to journalArticle

Open Access
File
6 Citations (Scopus)
106 Downloads (Pure)
2013

A simple path to asymptotics for the frontier of a branching Brownian motion

Roberts, M. I., Sep 2013, In : Annals of Probability. 41, 5, p. 3518-3541 24 p.

Research output: Contribution to journalArticle

Open Access
File
19 Citations (Scopus)
135 Downloads (Pure)

Catalytic branching processes via spine techniques and renewal theory

Doering, L. & Roberts, M. I., 2013, In : Séminaire de Probabilités. XLV, p. 305-322 18 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Increasing paths in regular trees

Roberts, M. & Zhuo Zhao, L., 2013, In : Electronic Communications in Probability. 18, 10 p., 87.

Research output: Contribution to journalArticle

Open Access
File
6 Citations (Scopus)
109 Downloads (Pure)
2012

Branching Brownian motion: Almost sure growth along scaled paths

Harris, S. C. & Roberts, M. I., 2012, In : Séminaire de Probabilités. XLIV, p. 375-399

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
118 Downloads (Pure)

The unscaled paths of branching Brownian motion

Harris, S. C. & Roberts, M. I., May 2012, In : Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 48, 2, p. 579-608 30 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
108 Downloads (Pure)
2010

Almost sure asymptotics for the random binary search tree

Roberts, M. I., 2010, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10). DMTCS, p. 565-576 12 p. (DMTCS Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2009

Measure changes with extinction

Harris, S. C. & Roberts, M. I., 15 Apr 2009, In : Statistics & Probability Letters. 79, 8, p. 1129-1133 5 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)