ISSN 2673-494X
Two-page Reports on Science

Cuban Sci. 2023, 4(2): 13–14

Published on 23 Mar 2024 PDF (207K)
Time reversal transformation in stochastic dynamics
Zochil González Arenas
  • Departamento de Matemática Aplicada, Instituto de Matemática e Estatística, Universidade do Estado do Rio de Janeiro (UERJ), 20550-900, RJ, Brazil
“A time reversal transformation for a system of stochastic differential equations is defined. The stochastic integration is considered in the generalized Stratonovich prescription.”


  1. Z. G. Arenas, D. G. Barci. Supersymmetric formulation of multiplicative white-noise stochastic processes. Physical Review E 85 (2012) 041122
  2. Z. G. Arenas, D. G. Barci. Hidden symmetries and equilibrium properties of multiplicative white-noise stochastic processes. Journal of Statistical Mechanics: Theory and Experiment 2012 (2012) P12005
  3. M. V. Moreno, Z. G. Arenas, D. G. Barci. Langevin dynamics for vector variables driven by multiplicative white noise: A functional formalism. Physical Review E 91 (2015) 042103
  4. P. Hänggi. Stochastic Processes I: Asymptotic Behaviour and Symmetries. Helvetica Physica Acta 51 (1978) 183-201
  5. H. K. Janssen. On the renormalized field theory of nonlinear critical relaxation. In: (Eds.) G. Györgyi, I. Kondor, L. Sasvári, T. Tél, From Phase Transitions to Chaos: Topics in Modern Statistical Physics, p. 68–91, Singapore: World Scientific (1992)