20.500.12556/RUL-124025 Space-like dynamics in a reversible cellular automaton In this paper we study the space evolution in the Rule 54 reversible cellular automaton, which is a paradigmatic example of a deterministic interacting lattice gas. We show that the spatial translation of time configurations of the automaton is given in terms of local deterministic maps with the support that is small but bigger than that of the time evolution. The model is thus an example of space-time dual reversible cellular automaton, i.e. its dual is also (in general different) reversible cellular automaton. We provide two equivalent interpretations of the result; the first one relies on the dynamics of quasi-particles and follows from an exhaustive check of all the relevant time configurations, while the second one relies on purely algebraic considerations based on the circuit representation of the dynamics. Additionally, we use the properties of the local space evolution maps to provide an alternative derivation of the matrix product representation of multi-time correlation functions of local observables positioned at the same spatial coordinate. cellular automata celični avtomati true false false Angleški jezik Slovenski jezik Neznano 2020-12-21 11:44:08 2020-12-21 11:44:08 2022-09-04 03:57:11 0000-00-00 00:00:00 2020 0 0 28 str. art. no. 010 Vol. 2 Jun. 2020 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.2 2666-9366 10.21468/SciPostPhysCore.2.2.010 42968579 18961667 RAZ_Klobas_Katja_2020.pdf RAZ_Klobas_Katja_2020.pdf 1 530DF03EAEA8BBA8A24C716777C2C80E feb23516a9b1afcd5582cdac56bf14c9047a595fdd90f5962c497903afa7aa0d 74e2fc7f-a1bb-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=139404 https://scipost.org/10.21468/SciPostPhysCore.2.2.010 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140140 Fakulteta za matematiko in fiziko 0 0 0