EPSRC Posdoctoral Fellowship in Applied Probability for Dr Matthew I Roberts

Research output

Research output per year 2013 2015 2017 2018 2020

• 14 Article

Research output per year

Research output per year

Search results

• 2020

  The coalescent structure of continuous-time Galton-Watson trees

  Harris, S., Johnston, S. & Roberts, M., 2020, In: Annals of Applied Probability. 30, 3, p. 1368-1414 47 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Death Process 100%
  15 Citations (SciVal)

  64 Downloads (Pure)
• 2018

  Exceptional times of the critical dynamical Erdős-Rényi graph

  Roberts, M. & Sengul, B., 31 Aug 2018, In: Annals of Applied Probability. 28, 4, p. 2275-2308 34 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Order 100%
  • Connected Component 100%
  • time interval τ 50%
  • Largest Component 50%
  • Edge 50%
  9 Citations (SciVal)

• 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 journal › Article › peer-review

  Open Access

  File

  • Sequences 100%
  • Bounds 100%
  • Markov Chain 50%
  • Upper Bound 50%
  • Trees 50%
  3 Citations (SciVal)

  75 Downloads (Pure)

• Scaling limit and ageing for branching random walk in Pareto environment

  Ortgiese, M. & Roberts, M., 11 Jul 2018, In: Annales de l'Institut Henri Poincaré: Probabilités et Statistiques. 54, 3, p. 1291-1313 23 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Random Walk 100%
  • Scaling Limit 100%
  • Lattices 50%
  • Converges 50%
  • Maximizer 50%
  2 Citations (SciVal)

  69 Downloads (Pure)

• The probability of unusually large components in the near-critical Erdős-Rényi graph

  Roberts, M., 1 Mar 2018, In: Advances in Applied Probability. 50, 1, p. 245-271 27 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Largest Component 100%
  • Probability Theory 100%
  • Asymptotics 66%
  • High Probability 50%
  • Order 33%
  6 Citations (SciVal)

  36 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 journal › Article › peer-review

  Open Access

  • Strong Form 100%
  3 Citations (SciVal)

• 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 journal › Article › peer-review

  File

  • Identity 100%
  • Expectation 100%
  • Spine 100%
  • Branching Process 100%
  37 Citations (SciVal)

  221 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 journal › Article › peer-review

  Open Access

  File

  • Henderson 100%
  12 Citations (SciVal)

  156 Downloads (Pure)
• 2016

  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 journal › Article › peer-review

  Open Access

  • Random Walk 100%
  • Lattices 25%
  • Control 25%
  8 Citations (SciVal)

  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 journal › Article › peer-review

  Open Access

  File

  • Brownian Motion 100%
  • Critical Curve 50%
  6 Citations (SciVal)

  183 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 journal › Article › peer-review

  Open Access

  File
  7 Citations (SciVal)

  172 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 journal › Article › peer-review

  • Number 100%
  • Random Walk 100%
  • Sufficient Condition 50%
  6 Citations (SciVal)
• 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 journal › Article › peer-review

  Open Access

  File

  • Event 100%
  • Branching Process 100%
  • Strong Law of Large Number 100%
  • Speaking 100%
  • Sequences 50%
  7 Citations (SciVal)

  156 Downloads (Pure)
• 2013

  Increasing paths in regular trees

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

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Continuous random variable 100%
  11 Citations (SciVal)

  163 Downloads (Pure)