Symmetry-induced fluctuation relations for dynamical observables irrespective of their behavior under time reversal Marcantoni, Stefano Pérez Espigares, Carlos Garrahan, Juan We extend previous work to describe a class of fluctuation relations (FRs) that emerge as a consequence of symmetries at the level of stochastic trajectories in Markov chains. We prove that given such a symmetry, and for a suitable dynamical observable, it is always possible to obtain a FR under a biased dynamics corresponding to the so-called generalized Doob transform. The general transformations of the dynamics that we consider go beyond time-reversal or spatial isometries, and an implication is the existence of FRs for observables irrespective of their behavior under time reversal, for example for time-symmetric observables rather than currents. We further show how to deduce in the long-time limit these FRs from the symmetry properties of the generator of the dynamics. We illustrate our results with four examples that highlight the novel features of our work. 2020-11-09T07:14:21Z 2020-11-09T07:14:21Z 2020-06-26 journal article PHYSICAL REVIEW E 101, 062142 (2020) http://hdl.handle.net/10481/64124 10.1103/PhysRevE.101.062142 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License American Physical Society