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Volume 21, Issue 2, March 2014, Pages 149 - 165
Random Lie-point symmetries
Authors
Pedro José Catuogno*
Mathematics Department, Unicamp Campinas, SP, Brazilpedrojc@ime.unicamp.br
Luis Roberto Lucinger†
Mathematics Department, UnB Brasília, DF, Brazillucinger@mat.unb.br
*
Departamento de Matemática, Universidade Estadual de Campinas - Unicamp, Rua Sérgio Buarque de Holanda, 651, Cidade Universitária “Zeferino Vaz”, Distrito de Barão Geraldo, Campinas, São Paulo, 13083-859, Brasil.
†
Departamento de Matemática, Universidade de Brasília - UnB, Campus Universitário Darcy Ribeiro, ICC Centro, Bloco A, Asa Norte, Brasília, Distrito Federal, 70910-900, Brasil.
Received 1 July 2013, Accepted 28 December 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2014.900984How to use a DOI?
- Keywords
- Lie-point symmetries; Determining equations; Random symmetries; Stochastic differential equations; Ito formula
- Abstract
We introduce the notion of a random symmetry. It consists of taking the action given by a deterministic flow that maintains the solutions of a given differential equation invariant and replacing it with a stochastic flow. This generates a random action, which we call a random symmetry.
- Copyright
- © 2014 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Pedro José Catuogno AU - Luis Roberto Lucinger PY - 2021 DA - 2021/01/06 TI - Random Lie-point symmetries JO - Journal of Nonlinear Mathematical Physics SP - 149 EP - 165 VL - 21 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.900984 DO - 10.1080/14029251.2014.900984 ID - Catuogno2021 ER -