A/Prof Mark HOLMES
Associate Professor
School of Mathematics and Statistics
- +61 3 834 41310
- holmes.m@unimelb.edu.au
- Website https://researchers.ms.unimelb.edu.au/~mholmes1@unimelb
- Room: 209
- Building: Peter Hall Building
- Campus: Parkville
Research Groups
Recent Publications
M. Holmes, E Perkins. On the range of lattice models in high dimensions. Probability Theory and Related Fields, 2019. doi: 10.1007/s00440-019-00933-1.
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.
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
Committees
- Visiting Scholar (Fund) Committee