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36 p, 474.0 KB Entropy and flatness in local algebraic dynamics / Majidi-Zolbanin, Mahdi ; Miasnikov, Nikita ; Szpiro, Lucien
For a local endomorphism of a noetherian local ring we introduce a notion of entropy, along with two other asymptotic invariants. We use this notion of entropy to extend numerical conditions in Kunz' regularity criterion to every contracting endomorphism of a noetherian local ring, and to give a characteristic-free interpretation of the definition of Hilbert-Kunz multiplicity. [...]
2013 - 10.5565/PUBLMAT_57213_12
Publicacions matemàtiques, Vol. 57, Núm. 2 (2013) , p. 509-544  

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2 Miasnikov, Nikita
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