Entropy estimates for finitely correlated states
M. Fannes, B. Nachtergaele, R. F. Werner (1992)
Annales de l'I.H.P. Physique théorique
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M. Fannes, B. Nachtergaele, R. F. Werner (1992)
Annales de l'I.H.P. Physique théorique
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Marc Pirlot (1985)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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D. Pavón, D. Jou, J. Casas-Vázquez (1985)
Annales de l'I.H.P. Physique théorique
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Akitaka Kishimoto (1979)
Annales de l'I.H.P. Physique théorique
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Siniša Slijepčević (2014)
Mathematica Bohemica
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We consider scalar reaction-diffusion equations on bounded and extended domains, both with the autonomous and time-periodic nonlinear term. We discuss the meaning and implications of the ergodic Poincaré-Bendixson theorem to dynamics. In particular, we show that in the extended autonomous case, the space-time topological entropy is zero. Furthermore, we characterize in the extended nonautonomous case the space-time topological and metric entropies as entropies of a pair of commuting...