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Research Output 2009 2019

  • 18 Article
  • 1 Conference contribution
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Article
2019
2 Downloads (Pure)

The coalescent structure of continuous-time Galton-Watson trees

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

Research output: Contribution to journalArticle

Open Access
File
Galton-Watson Tree
Continuous Time
Explicit Formula
Birth-death Process
Time Change
2018
14 Downloads (Pure)

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
Mixing Time
Markov chains
Total Variation
Isometric
Isometry
1 Citation (Scopus)
18 Downloads (Pure)
Open Access
File
Branching Random Walk
Scaling Limit
Pareto
Poisson Point Process
Random Potential
2017
2 Citations (Scopus)

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
Branching Random Walk
Pareto
Anderson Model
Random Potential
Intermittency
11 Citations (Scopus)
59 Downloads (Pure)

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
Many to one
Spine
Branching process
Intuitive
Lemma
4 Citations (Scopus)
75 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
Linear Model
Initial conditions
Term
Decay
Absorbing Boundary
2016

Has winning the lottery jackpot become too difficult?

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

Research output: Contribution to specialist publicationArticle

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

Intermittency for branching random walk in Pareto environment

Ortgiese, M. & Roberts, M. I., 16 May 2016, In : Annals of Probability. 44, 3, p. 2198-2263 66 p.

Research output: Contribution to journalArticle

Open Access
Branching Random Walk
Intermittency
Pareto
Anderson Model
Random Potential
2015
5 Citations (Scopus)
72 Downloads (Pure)

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
Branching Brownian Motion
Critical Curves
Path
Brownian motion
1 Citation (Scopus)
74 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

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

Branching Random Walk
Trace
Sufficient Conditions
Graph in graph theory
2014
5 Citations (Scopus)
63 Downloads (Pure)

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
Strong law of large numbers
Spine
Branching process
Almost Sure Convergence
Manipulation
2013
18 Citations (Scopus)
92 Downloads (Pure)

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
Branching Brownian Motion
Path
Brownian motion
Median
6 Citations (Scopus)

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

Renewal Theorem
Renewal Theory
Spine
Branching process
Long-time Behavior
6 Citations (Scopus)
66 Downloads (Pure)

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
Roots
Converge
Continuous random variable
Path
Identically distributed
2012
1 Citation (Scopus)
75 Downloads (Pure)

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
Branching Brownian Motion
Path
Spine
Large Deviations
5 Citations (Scopus)
65 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
Branching Brownian Motion
Path
Large Deviation Probability
Rescaling
Brownian motion
2009
5 Citations (Scopus)

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