The distance between the two BBM leaders. (7th April 2022)
- Record Type:
- Journal Article
- Title:
- The distance between the two BBM leaders. (7th April 2022)
- Main Title:
- The distance between the two BBM leaders
- Authors:
- Berestycki, Julien
Brunet, Éric
Graham, Cole
Mytnik, Leonid
Roquejoffre, Jean-Michel
Ryzhik, Lenya - Abstract:
- Abstract: We study the distance between the two rightmost particles in branching Brownian motion. Derrida and the second author have shown that the long-time limit d 12 of this random variable can be expressed in terms of PDEs related to the Fisher–KPP equation. We use such a representation to determine the sharp asymptotics of P ( d 12 > a ) as a → +∞. These tail asymptotics were previously known to 'exponential order;' we discover an algebraic correction to this behavior.
- Is Part Of:
- Nonlinearity. Volume 35:Number 4(2022)
- Journal:
- Nonlinearity
- Issue:
- Volume 35:Number 4(2022)
- Issue Display:
- Volume 35, Issue 4 (2022)
- Year:
- 2022
- Volume:
- 35
- Issue:
- 4
- Issue Sort Value:
- 2022-0035-0004-0000
- Page Start:
- 1558
- Page End:
- 1609
- Publication Date:
- 2022-04-07
- Subjects:
- branching Brownian motion -- Fisher–KPP equation -- branching processes
35K57 -- 60J80
Nonlinear theories -- Periodicals
Mathematical analysis -- Periodicals
Mathematical analysis
Nonlinear theories
Periodicals
515 - Journal URLs:
- http://www.iop.org/Journals/no ↗
http://iopscience.iop.org/0951-7715/ ↗
http://ioppublishing.org/ ↗ - DOI:
- 10.1088/1361-6544/ac4a8e ↗
- Languages:
- English
- ISSNs:
- 0951-7715
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 21947.xml