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10 papers · 1 filter
Quantum groupoids and dynamical categories
J. Donin, A. Mudrov
In this paper we realize the dynamical categories introduced in our previous paper as categories of modules over bialgebroids; we study the bialgebroids arising in this way. We def…
Neural cryptography with feedback
Andreas Ruttor, Wolfgang Kinzel, Lanir Shacham +1
Neural cryptography is based on a competition between attractive and repulsive stochastic forces. A feedback mechanism is added to neural cryptography which increases the repulsive…
Emergence of quasi-metallic state in disordered 2D electron gas due to strong interactions
B. Rosenstein, Tran Minh-Tien
The interrelation between disorder and interactions in two dimensional electron liquid is studied beyond weak coupling perturbation theory. Strong repulsion significantly reduces t…
Immersions of Non-orientable Surfaces
Tahl Nowik
Let F be a closed non-orientable surface. We classify all finite order invariants of immersions of F into R^3, with values in any Abelian group. We show they are all functions of t…
A generalization and a new proof of Plotkin's reduction theorem
Grigori Zhitomirski
It is known that Plotkin's reduction theorem is very important for his theory of universal algebraic geometry [arXiv:math. GM/0210187], [arXiv:math. GM/0210194]. It turns out that…
Dynamical Yang-Baxter equation and quantum vector bundles
J. Donin, A. Mudrov
We develop a categorical approach to the dynamical Yang-Baxter equation (DYBE) for arbitrary Hopf algebras. In particular, we introduce the notion of a dynamical extension of a mon…