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• W3104697799 endingPage "175003" @default.
• W3104697799 startingPage "175003" @default.
• W3104697799 abstract "We investigate a random integral which provides a natural example of an imaginary exponential functional of Brownian motion. This functional shows up in the study of the binary annihilation process, within the Doi-Peliti formalism for reaction-diffusion systems. The main emphasis is put on the complementarity between the usual Langevin approach and another approach based on the similarity with Kesten variables and other one-dimensional disordered systems. Even though neither of these routes leads to the full solution of the problem, we have obtained a collection of results describing various regimes of interest." @default.
• W3104697799 created "2020-11-23" @default.
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• W3104697799 date "2011-04-04" @default.
• W3104697799 modified "2023-09-26" @default.
• W3104697799 title "On an imaginary exponential functional of Brownian motion" @default.
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• W3104697799 doi "https://doi.org/10.1088/1751-8113/44/17/175003" @default.
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