Geodesic
Random walk of annihilating particles on the ring
Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 3, pp. 488-498

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We obtain the formula for the transition probability of an arbitrary number of annihilating particles wandering along a ring-shaped one-dimensional lattice from the initial coordinates to the final coordinates during an arbitrary number of discrete time steps.
Keywords: random walk, annihilating particles, survival probability, encounter probability.
Mots-clés : free fermions 
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     title = {Random walk of annihilating particles on the ring},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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S. Yu. Grigoriev; V. B. Priezzhev. Random walk of annihilating particles on the ring. Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 3, pp. 488-498. http://geodesic.mathdoc.fr/item/TMF_2006_146_3_a9/