-algebre -adiche e loro rappresentazioni
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Mario Poletti (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Peter Roquette (1977)
Journal für die reine und angewandte Mathematik
J. Bovey (1976)
Acta Arithmetica
Robert Costa, Patrick Dynes, Clayton Petsche (2016)
Acta Arithmetica
We prove that if an n×n matrix defined over ℚ ₚ (or more generally an arbitrary complete, discretely-valued, non-Archimedean field) satisfies a certain congruence property, then it has a strictly maximal eigenvalue in ℚ ₚ, and that iteration of the (normalized) matrix converges to a projection operator onto the corresponding eigenspace. This result may be viewed as a p-adic analogue of the Perron-Frobenius theorem for positive real matrices.
Reinhold Hübl (1996)
Journal für die reine und angewandte Mathematik
Youngho Jang (1997)
Annales mathématiques Blaise Pascal
Jean-Pierre Schreiber (1973)
Bulletin de la Société Mathématique de France
P. ROQUETTE (1971)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Françoise Bertrandias (1963/1964)
Séminaire Dubreil. Algèbre et théorie des nombres
Michel Broué (1977)
Mathematische Zeitschrift
V. I. Sushchanski, E. Moćko, V. V. Nekrashevych (2006)
Colloquium Mathematicae
We give a description of possible sets of cycle lengths for distance-decreasing maps and isometries of the ring of n-adic integers.
Daniel Berend (1989)
Acta Arithmetica
Jürgen Wolfart, Alexandre Nobs (1976)
Commentarii mathematici Helvetici
Alexandre Nobs (1976)
Commentarii mathematici Helvetici
Alexandre Nobs (1977)
Mathematische Annalen
L. Gerritzen (1977)
Mathematische Annalen
Wolfgang Schmidt (1990)
Acta Arithmetica
Françoise Bertrandias (1963/1964)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Françoise Bertrandias (1964/1965)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Philippe Robba (1974/1975)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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