منابع مشابه
Isospectral membranes: a connection between shape and density
A connection is established via conformal maps between vibrating membranes that are isospectral with respect to shape and those that are isospectral with respect to density. In particular, inhomogeneous circular membranes are constructed that are isospectral to polygonal membranes of uniform density via the Schwarz–Christoffel mapping. Although some corners of the polygons lead to singularities...
متن کاملIsospectral Graphs and Isospectral Surfaces
In memory of Hubert Pesce In this paper, we investigate the following question: to what extent is there a converse to the Theorem of Sunada Su] in the context of graphs? Our experience in dealing with the question, \Can one hear the shape of a drum?" is that the many facets of this question turn out to be surprisingly delicate. The present instance is no exception. We will rst present a partial...
متن کاملGraphene : Materially Better Carbon
Michael S. Fuhrer, Chun Ning Lau, and Allan H. MacDonald carbide,7 which is emerging as a promising material for electronics applications, and is the subject of the review by First and co-authors in this issue. Several researchers have recently revisited the growth of graphene on metal surfaces8–10 and have developed techniques to transfer graphene from metals to insulating surfaces where elect...
متن کاملIsospectral compression and other useful isospectral transformations of dynamical networks.
It is common knowledge that a key dynamical characteristic of a network is its spectrum (the collection of all eigenvalues of the network's weighted adjacency matrix). We demonstrated that it is possible to reduce a network, considered as a graph, to a smaller network with fewer vertices and edges while preserving the spectrum (or spectral information) of the original network [L. A. Bunimovich ...
متن کاملMonoids, Boolean Algebras, Materially Ordered Sets
In this paper, the interplay between certain mathematical structures is elucidated. First, it is shown that there is a one-to-one correspondence between bounded half-lattices and commutative idempotent monoids (c.i.-monoids). Adding certain additional structural ingredients and axioms, such c.i.-momoids become Boolean algebras. There is a non-trivial one-to-one correspondence between these and ...
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ژورنال
عنوان ژورنال: ANZIAM Journal
سال: 2006
ISSN: 1445-8810
DOI: 10.21914/anziamj.v47i0.1036