Study of the Iterations of a Mapping Associated to a Spin Glass Model
P. Collet, J.-P. Eckmann, V. Glaser, A. Martin (1983)
Recherche Coopérative sur Programme n°25
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P. Collet, J.-P. Eckmann, V. Glaser, A. Martin (1983)
Recherche Coopérative sur Programme n°25
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We sort out to a large extent when a (first order complete theory) T has a superlimit model in a cardinal λ. Also we deal with related notions of being limit.
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Paolo Lipparini (1982)
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Si dà, mediante condizioni per l'amalgamabilità di tre modelli, una caratterizzazione completa delle teorie localmente finite con model-compagno. Si introduce inoltre un concetto intermedio tra quelli di model-compagno e model-completamento.
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Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Si dà, mediante condizioni per l'amalgamabilità di tre modelli, una caratterizzazione completa delle teorie localmente finite con model-compagno. Si introduce inoltre un concetto intermedio tra quelli di model-compagno e model-completamento.
Paola D'Aquino, Julia F. Knight (2007)
Fundamenta Mathematicae
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McAloon showed that if 𝓐 is a nonstandard model of IΔ₀, then some initial segment of 𝓐 is a nonstandard model of PA. Sommer and D'Aquino characterized, in terms of the Wainer functions, the elements that can belong to such an initial segment. The characterization used work of Ketonen and Solovay, and Paris. Here we give conditions on a model 𝓐 of IΔ₀ guaranteeing that there is an n-elementary initial segment that is a nonstandard model of PA. We also characterize the elements that...
Meri Lisi, Silvia Totaro (2009)
Bollettino dell'Unione Matematica Italiana
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In this paper, we study a one-dimensional mathematical model for a contracting interstellar cloud, with a star inside. Existence and uniqueness of a positive solution are proved by means of the fixed point theorem. A time discretization procedure is given and the case of an expanding interstellar cloud is also considered.