Projects per year
Please see my personal webpage for information on my research.
Available PhD projects
Blocking measures and scaling in stochastic particle systems
Blocking measures are certain stationary distributions in stochastic interacting particle systems. They either have a relatively easy structure or when this is not the case then they are usually very hard to analyse. Because of these two extreme cases, processes in this kind of stationarity have been less investigated than under other scenarios. There are nevertheless many interesting questions of fluctuations and scaling limits in the area which this project will investigate. We will dive into various phenomena of stochastic particle systems, learning about stationary and quasi-stationary structures, scaling arguments, probabilistic couplings, and martingale techniques along the way.
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- 1 Finished
1/06/18 → 20/05/22
- 31 Article (Academic Journal)
Balazs, M. & Maxey-Hawkins, F. M., 11 Feb 2022, (E-pub ahead of print) In: Electronic Journal of Probability. 27, 29 p., 23.
Research output: Contribution to journal › Article (Academic Journal) › peer-reviewOpen AccessFile1 Downloads (Pure)
Balazs, M., Jay, J. & Fretwell, D., 21 Jul 2022, In: Research in the Mathematical Sciences. 9, 3, 39 p., 48.
Research output: Contribution to journal › Article (Academic Journal) › peer-reviewOpen Access
Balazs, M., Busani, O. & Seppalainen, T., 15 Mar 2021, In: Probability Theory and Related Fields. 180, 1-2, p. 113-162 50 p.
Research output: Contribution to journal › Article (Academic Journal) › peer-reviewOpen Access1 Citation (Scopus)
- 2 Visiting an external academic institution