RT Journal Article T1 A probabilistic extension to Conway’s Game of Life A1 Aguilera-Venegas, Gabriel A1 Galán-García, José Luis A1 Egea-Guerrero, Rocío A1 Galán-García, María Ángeles A1 Rodríguez-Cielos, Pedro A1 Padilla-Domínguez, Yolanda Carmen A1 Galán-Luque, María K1 Autómatas celulares K1 Probabilidades AB The “Game of life” model was created in 1970 by the mathematician John Horton Conway using cellular automata. Since then, different extensions of these cellular automata have been used in many applications. In this work, we introduce probabilistic cellular automata which include non-deterministic rules for transitions between successive generations of the automaton together with probabilistic decisions about life and death of the cells in the next generation of the automaton. Different directions of the neighbours of each cell are treated with the possibility of applying distinct probabilities. This way, more realistic situations can be modelled and the obtained results are also non-deterministic. In this paper, we include a brief state of the art, the description of the model and some examples obtained with an implementation of the model made in Java. PB Springer (Advances in computational mathematics) YR 2019 FD 2019 LK https://hdl.handle.net/10630/33364 UL https://hdl.handle.net/10630/33364 LA eng NO Aguilera-Venegas, G., Galán-García, J.L., Egea-Guerrero, R. et al. A probabilistic extension to Conway’s Game of Life. Adv Comput Math 45, 2111–2121 (2019). https://doi.org/10.1007/s10444-019-09696-8 DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 19 ene 2026