Chemical Kinetics, Markov Chains, and the Imaginary Itô Interpretation

Alvaro Correales, Carlos Escudero*, Mariya Ptashnyk

*Corresponding author for this work

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The abstract chemical reaction
understood as a Markov chain in continuous time, has been studied in the physical literature for several years. It has been claimed that this reaction can be described by means of the stochastic differential equation
where i is the imaginary unit. This affirmation is, at least, intriguing, and has led to controversy and criticisms in the literature. The goal of this work is to give partial evidence that such a description may be possible.
Original languageEnglish
Pages (from-to)3017-3068
Number of pages52
JournalAdvances in Theoretical and Mathematical Physics
Issue number9
Publication statusPublished - 30 Oct 2023


  • General Mathematics
  • General Physics and Astronomy


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