Some counterexamples in dynamics of rational semigroups.
Stankewitz, Rich, Sugawa, Toshiyuki, Sumi, Hiroki (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Stankewitz, Rich, Sugawa, Toshiyuki, Sumi, Hiroki (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Stéphane Gaubert, Ricardo Katz (2004)
Kybernetika
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We introduce rational semimodules over semirings whose addition is idempotent, like the max-plus semiring, in order to extend the geometric approach of linear control to discrete event systems. We say that a subsemimodule of the free semimodule over a semiring is rational if it has a generating family that is a rational subset of , being thought of as a monoid under the entrywise product. We show that for various semirings of max-plus type whose elements are integers, rational...
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