LARGE DEVIATIONS OF THE FRONT IN A ONE-DIMENSIONAL MODEL OF X + Y → 2X

We investigate the probabilities of large deviations for the position of the front in a stochastic model of the reaction X + Y → 2X on the integer lattice in which Y particles do not move while X particles move as independent simple continuous time random walks of total jump rate 2. For a wide class...

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Veröffentlicht in:	The Annals of probability 2010-05, Vol.38 (3), p.955-1018
Hauptverfasser:	BERARD, Jean, RAMIREZ, Alejandro F
Format:	Artikel
Sprache:	eng
Schlagworte:	60F10 60K35 Exact sciences and technology General topics Infinity Integers Large deviations Law of large numbers Limit theorems Martingales Mathematics Particle trajectories Probabilities Probability Probability and statistics Probability theory and stochastic processes Random variables Random walk regeneration techniques Respect Sciences and techniques of general use Standard deviation Stochastic models Stochastic processes Studies sub-additivity Trajectories
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