Projects per year
Abstract
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.
Original language | English |
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Article number | 28 |
Pages (from-to) | 1-26 |
Number of pages | 26 |
Journal | Electronic Journal of Probability |
Volume | 20 |
DOIs | |
Publication status | Published - 13 Mar 2015 |
Keywords
- Branching Brownian motion
- Consistent minimal displacement
- Growth rate
- Survival probability
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Dive into the research topics of 'Fine asymptotics for the consistent maximal displacement of branching brownian motion'. Together they form a unique fingerprint.Projects
- 1 Finished
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EPSRC Posdoctoral Fellowship in Applied Probability for Dr Matthew I Roberts
Engineering and Physical Sciences Research Council
3/04/13 → 2/07/16
Project: Research council
Profiles
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Matthew Roberts
- 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