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BEGIN:VEVENT
UID:1-295@lptms.universite-paris-saclay.fr
DTSTART:20141028T110000Z
DTEND:20141028T120000Z
DTSTAMP:20141016T100003Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-kabir-ramola-2/
SUMMARY:Séminaire du LPTMS: Kabir Ramola - LPTMS\, salle 201\, 2ème étag
 e\, Bât 100\, Campus d'Orsay - 28 Oct 14 11:00
DESCRIPTION:Correlated Extreme Values in Branching Brownian Motion\nKabir R
 amola\, LPTMS\nWe investigate one dimensional branching Brownian motion in
  which at each time step particles either diffuse (with diffusion constant
  D)\, die (with rate d)\, or split into two particles (with rate b). When 
 the birth rate exceeds the death rate (b &gt\; d)\, there is an exponentia
 l proliferation of particles and the process is explosive. When b &lt\; d\
 , the process eventually dies. At the critical point (b = d) this system i
 s characterized by a fluctuating number of particles with a constant avera
 ge. Quite remarkably\, although the individual positions of these particle
 s have a non-trivial finite time behaviour\, the average distances between
  successive particles (the gaps) become stationary at large times\, implyi
 ng strong correlations between them. We compute the probability distributi
 on functions (PDFs) of these gaps\, by conditioning the system to have a f
 ixed number of particles at a given time t. At large times we show that th
 ese PDFs are characterized by a power law tail ~1/g^3 (for large gaps g) a
 t the critical point and ~exp(- g/c) otherwise\, with a correlation length
  c~\\sqrt(D/|b - d|). We discuss the emergence of these two length scales\
 , the dominant overall length scale of the individual positions\, and the 
 sub-dominant gap length scale in this system. Direct Monte Carlo simulatio
 ns confirm our predictions.
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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