21 research outputs found
Free dense subgroups of holomorphic automorphisms
We show the existence of free dense subgroups, generated by 2 elements, in
the holomorphic shear and overshear group of complex-Euklidean space and extend
this result to the group of holomorphic automorphisms of Stein manifolds with
Density Property, provided there exists a generalized translation. The
conjugation operator associated to this generalized translation is hypercyclic
on the topological space of holomorphic automorphisms.Comment: 9 page
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Deeper model endgame analysis
A reference model of Fallible Endgame Play has been implemented and exercised with the chess-engine WILHELM. Past experiments have demonstrated the value of the model and the robustness of decisions based on it: experiments agree well with a Markov Model theory. Here, the reference model is exercised on the well-known endgame KBBKN
The symplectic holomorphic density property for Calogero-Moser spaces
We introduce the symplectic holomorphic density property and the Hamiltonian
holomorphic density property together with the corresponding version of
Anders\'en-Lempert theory. We establish these properties for the Calogero-Moser
space of particles and describe its group of holomorphic
symplectic automorphisms.Comment: 29 pages, email addresses adde