Lamplighter, 1987, 9780590713733, Scholastic Canada, Limited, 1987

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The lamplighter group as a group generated by a 2-state automaton, and its spectrum, we realize the lamplighter group Z/
Lamplighter, 1987, 9780590713733, Scholastic Canada, Limited, 1987 The lamplighter, the pioneering anthology Home Girls features writings by Black feminist and lesbian activists on topics both provocative and profound. Since its initial publication in 1983, it has become an essential text on Black women's lives and writings. This edition features. Spectral computations on lamplighter groups and Diestel-Leader graphs, abstract The Diestel-Leader graph DL (q, r) is the horocyclic product of the homogeneous trees with respective degrees q+ 1 and r+ 1. When q= r, it is the Cayley graph of the lamplighter group (wreath product) ℤ q≠ℤ with respect to a natural generating set. Free lamplighter groups and a question of Atiyah, page 1. Free lamplighter groups and a question of Atiyah Franz Lehner, Stephan Wagner American Journal of Mathematics, Volume 135, Number 3, June 2013, pp. 835-849 (Article) Published by Johns Hopkins University Press DOI: For additional information about this article. The spectra of lamplighter groups and Cayley machines, we calculate the spectra and spectral measures associated to random walks on restricted wreath products G wr Z, with G a finite group, by calculating the Kesten von Neumann Serre spectral measures for the random walks on Schreier graphs of certain groups. Green kernel estimates and the full Martin boundary for random walks on lamplighter groups and Diestel-Leader graphs, we determine the precise asymptotic behaviour (in space) of the Green kernel of simple random walk with drift on the Diestel-Leader graph DL (q, r), where q, r⩾ 2. The latter is the horocyclic product of two homogeneous trees with respective degrees q+ 1 and r+ 1. When. Invariant random subgroups of lamplighter groups, let G be one of the lamplighter groups (\Bbb Z/p\Bbb Z)^ n ≠\Bbb Z and Sub (G) the space of all subgroups of G. We determine the perfect kernel and Cantor-Bendixson rank of Sub (G). The space of all conjugation-invariant Borel probability measures on Sub (G) is a simplex. Proper actions of lamplighter groups associated with free groups, rebranding, according to physico-chemical studies, heterogeneous in composition. Mixing times for random walks on finite lamplighter groups, given a finite graph G, a vertex of the lamplighter graph G♦= Z2 G consists of a zero-one labeling of the vertices of G, and a marked vertex of G. For transitive G we show that, up to constants, the relaxation time for simple random walk in G♦ is the maximal hitting time. THE LAMPLIGHTER, THE WIDE, WIDE WORLD, AND HOPE LESLIE: RECONSIDERING THE RECIPES FOR NINETEENTH-CENTURY AMERICAN WOMEN'S, herbert Ross Brown, use vaguely defined terms such as sentimental and/or domestic to classify and then dismiss large numbers of women authors. Cowie, in fact, goes so far as to provide a receipt for the domestic novel(417) which is based directly upon the plot lines. The lamplighter group as a group generated by a 2-state automaton, and its spectrum, we realize the lamplighter group Z/2 Z≠Z as a group defined by a 2-state automaton. We study the corresponding action of this group on a binary tree and on its boundary. The final goal is the computation for a special system of generators of the spectrum of the Markov. The Euclidean distortion of the lamplighter group, we show that the cyclic lamplighter group C 2≠C n embeds into Hilbert space with distortion O(\logn). This matches the lower bound proved by Lee et al.(Geom. Funct. Anal., 2009), answering a question posed in that paper. Thus, the Euclidean distortion of C 2â‰. Heat kernel asymptotics on the lamplighter group, we show that, for one generating set, the on-diagonal decay of the heat kernel on the lamplighter group is asymptotic to c1n1/6 exp [− c2n1/3]. We also make off-diagonal estimates which show that there is a sharp threshold for which elements have transition. The Romance Heroine Exposed: Nausicaa and The Lamplighter, gerty MacDowell has read that book The Lamplighter by Miss Cummins, author of Mabel Vaughan and other tales(U 363) and is recognized by critics as the namesake of its heroine, Gertrude Flint.* How familiar was Joyce with this novel to which he briefly alludes. Rates of convergence for lamplighter processes, consider a graph, G, for which the vertices can have two modes, 0 or 1. Suppose that a particle moves around on G according to a discrete time Markov chain with the following rules. With (strictly positive) probabilities pm, pc and pr it moves to a randomly chosen. Coarse differentiation of quasi-isometries II: Rigidity for Sol and lamplighter groups, this paper continues the work that was announced in [EFW07] and be- gun in [EFW12]. For a more detailed introduction, we refer the reader to those papers. As discussed in those papers, all our theorems stated above are proved using a new technique, which we call coarse. On a class of automata groups generalizing lamplighter groups, we study automata groups generated by reset automata. Every lamplighter group ℤ/nℤ wr ℤ can be generated by such an automaton, and in general these automata groups are similar in nature to lamplighters: they are amenable locally-finite-by-cyclic groups; under mild. Random walks on the lamplighter group, kaimanovich and Vershik described certain finitely generated groups of exponential growth such that simple random walk on their Cayley graph escapes from the identity at a sublinear rate, or equivalently, all bounded harmonic functions on the Cayley graph are constant. Here. Uniformity of the uncovered set of random walk and cutoff for lamplighter chains, we show that the measure on markings of Z nd, d≥ 3, with elements of {0, 1} given by iid fair coin flips on the range $\mathcal {R} $ of a random walk X run until time T and 0 otherwise becomes indistinguishable from the uniform measure on such markings at the threshold. On the spectrum of lamplighter groups and percolation clusters, let G be a finitely generated group and X its Cayley graph with respect to a finite, symmetric generating set S. Furthermore, let H be a finite group and H ≠G the lamplighter group (wreath product) over G with group of lamps H. We show that the spectral measure. Dead end words in lamplighter groups and other wreath products, we explore the geometry of the Cayley graphs of the lamplighter groups and a wide range of wreath products. We show that these groups have dead end elements of arbitrary depth with respect to their natural generating sets. An element w in a group G with finite generating.