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13 papers · 1 filter
Dissecting the 2-sphere by immersions
Tahl Nowik
The self intersection of an immersion i : S^2 \to R^3 dissects S^2 into pieces which are planar surfaces (unless i is an embedding). In this work we determine what collections of p…
Generalization of results about the Bohr radius for power series
Lev Aizenberg
The Bohr radius for power series of holomorphic functions mapping a multidimensional Reinhardt domain into the convex domain in the complex plane is independent of this convex doma…
Rotating Accelerator-Mode Islands
Oded Barash, Itzhack Dana
The existence of rotating accelerator-mode islands (RAIs), performing quasiregular motion in rotational resonances of order of the standard map, is firmly established by an a…
Quantization of orbit bundles in
A. Mudrov, V. Ostapenko
Let be the complex general linear group and its Lie algebra equipped with a factorizable Lie bialgebra structure; let be the corresponding quantum group. We construct…
Approximate resonance states in the semigroup decomposition of resonance evolution
Y. Strauss, L. P. Horwitz, A. Volovick
The semigroup decomposition formalism makes use of the functional model for class contractive semigroups for the description of the time evolution of resonances. For a giv…
Dynamics of neural cryptography
Andreas Ruttor, Wolfgang Kinzel, Ido Kanter
Synchronization of neural networks has been used for novel public channel protocols in cryptography. In the case of tree parity machines the dynamics of both bidirectional synchron…