Self-Similar Groups and Holomorphic Dynamics: Renormalization, Integrability, and SpectrumIn this paper, we explore the spectral measures of the Laplacian on Schreier graphs for several self-similar groups (the Grigorchuk, Lamplighter, and Hanoi groups) from the dynamical and algebro-geometric ...
We construct self-similar measures on several classes of self-similar groups, including the Grigorchuk group of intermediate growth. 展开全部 机器翻译 AI理解论文&经典十问 挑战十问 参考文献 被引用 社区问答 参考文献 发布时间 · 被引用数 · 默认排序 被引用 发布时间 · 被引用数 · 默认排序 ...
groups which are not lattices. The problem, however, is that: 1. Among hyperbolic groups Γ, (if we ignore torsion) only Poincar´e duality groups (fundamental groups of closed aspherical manifolds) are known to be weakly cohopfian,相关...
Define self-similar. self-similar synonyms, self-similar pronunciation, self-similar translation, English dictionary definition of self-similar. adj. Having a substructure analogous or identical to an overall structure. In mathematics, certain geometrica
We construct new classes of self-similar groups:S-arithmetic groups, affine groups and metabelian groups. Most of the soluble ones are finitely presented and of typeFPn\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\...
We also construct self-similar groups, whose graphs Γn can be represented as an iterated replacement product and graph powering: ⃝Γn+1=Γnkr⃝Γ (k≥1). This gives simple explicit examples of self-similar groups, whose graphs Γn form an expanding family, and examples of automaton ...
groups. Finally I am indebted to my professors J.-S. Darroz`es [4] and D. Euvrard [?] who showed me scale invariance in the class room. Figure 1 – The coast of Brittany is self similar, there is scale in- variance (scale 120km, 20km, 3 km, 150m, 40m GoogleEarth and 4m ...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook self-similarity (redirected fromSelfsimilar) self-similarity [¦self ‚sim·ə′lar·əd·ē] (mathematics) The property whereby an object or mathematical function preserves its structure when multiplied by ...
These ⁎-algebras were initially considered in [8] only for countable discrete groups G acting on finite graphs E with no sources, and then generalized in [3], [9] for larger classes. Roughly speaking, Exel and Pardo attached an inverse semigroup and the tight groupoid to such that ...
Bialek and team proposed a renormalization procedure that groups variables (neurons) into larger-scale lumped variables based on their observed pairwise correlations33. Their procedure reveals the self-similarity of neuron level activities in live animal recordings, but does so without identifying the ...