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most citedDirected Chaotic Transport in Hamiltonian Ratchets

105 citations

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math.LO2007

Thorn independence in the field of real numbers with a small multiplicative group

Alexander Berenstein, Clifton Ealy, Ayhan Günaydin

We characterize thorn-independence in a variety of structures, focusing on the field of real numbers expanded by predicate defining a dense multiplicative subgroup, G, satisfying t…

math.LO2004

Hilbert spaces with generic groups of automorphisms

Alexander Berenstein

Let G be a countable group. We proof that there is a model companion for the approximate theory of a Hilbert space with a group G of automorphisms. We show that G is amenable if an…