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78 papers · 1 filter
Occupation Time Statistics in the Quenched Trap Model
S. Burov, E. Barkai
We investigate the distribution of occupation times for a particle undergoing a random walk among random energy traps and in the presence of a deterministic potential field $U^{\rm…
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…
Fractal and Transfractal Recursive Scale-Free Nets
Hernan D. Rozenfeld, Shlomo Havlin, Daniel ben-Avraham
We explore the concepts of self-similarity, dimensionality, and (multi)scaling in a new family of recursive scale-free nets that yield themselves to exact analysis through renormal…
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…