A/Prof Mark HOLMES

Associate Professor

School of Mathematics and Statistics

  • Room: 209
  • Building: Peter Hall Building
  • Campus: Parkville

Research Groups

Recent Publications

  • A Collevecchio, M. Holmes, D Kious. On the speed of once-reinforced biased random walk on trees. Electronic Journal of Probability, 23, 2018. doi: 10.1214/18-EJP208.

  • M. Holmes, Thomas S Salisbury. Conditions for ballisticity and invariance principle for random walk in non-elliptic random environment. Electronic Journal of Probability, 22, 2017. doi: 10.1214/17-EJP107.

  • M. Holmes, Victor Kleptsyn. Proof of the WARM whisker conjecture for neuronal connections. Chaos, 27, 043104 (10pp), 2017. doi: 10.1063/1.4978683.

  • Remco van der Hofstad, M. Holmes, Edwin A Perkins. A criterion for convergence to super-Brownian motion on path space. The Annals of Probability, 45, 278-376, 2017. doi: 10.1214/14-AOP953.

  • M. Holmes, T Salisbury. Forward Clusters for Degenerate Random Environments. Combinatorics, Probability and Computing, 25, 744-765, 2016. doi: 10.1017/S0963548316000158.

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Current Postgraduate Supervision

Name Thesis title
Tim BANOVA
Xin HUANG

Current MSc Students

Name Project title
Hanyun ZHENG
Robert MEDLAND
Chengrui WU

Recent Grant History

Year(s) Source Type Title
2017 - 2021 ARC Future Fellow Phase transitions in stochastic systems

Responsibilities

  • Stochastic Processes Seminar Coordinator