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We consider the trapping reaction A + B -> B in space dimension d<=2. Byformally eliminating the B particles from the problem we derive an effectivedynamics for the A particles from which the survival probability of a given Aparticle and the statistics of its spatial fluctuations can be calculated in arather general way. The method can be extended to the study ofannihilation/coalescence reactions, B + B -> 0 or B, in d=2.Comment: RevTeX, 4 page

Formal solution of a class of reaction-diffusion models: Reduction to a single-particle problem