Projects per year
Ipt is well-known that the maximal particle in a branching Brownian motion sits near (Formula-Presented)log t at time t. One may then ask about the paths of particles near the frontier: how close can they stay to this critical curve? Two different approaches to this question have been developed. We improve upon the best-known bounds in each case, revealing new qualitative features including marked differences between the two approaches.
- Branching Brownian motion
- Consistent minimal displacement
- Growth rate
- Survival probability
FingerprintDive into the research topics of 'Fine asymptotics for the consistent maximal displacement of branching brownian motion'. Together they form a unique fingerprint.
- 1 Finished
3/04/13 → 2/07/16
Project: Research council
- Department of Mathematical Sciences - Royal Society University Research Fellow & Reader
- EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
- Probability Laboratory at Bath
Person: Research & Teaching