منابع مشابه
Meander Determinants
We prove a determinantal formula for quantities related to the problem of enumeration of (semi-) meanders, namely the topologically inequivalent planar configurations of non-self-intersecting loops crossing a given (half-) line through a given number of points. This is done by the explicit Gram-Schmidt orthogonalization of certain bases of subspaces of the Temperley-Lieb algebra.
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The development of synthesis procedures for passing from a prescribed rational positive real function or matrix to a linear lumped network of passive components possessing the prescribed quantity as its impedance has been one of the major problems confronting network theorists in the past. One of the earliest such synthesis procedures is the Brune synthesis, see Reference 1 and for more recent ...
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We consider a Markov chain Monte Carlo approach to the uniform sampling of meanders. Combinatorially, a meander M = [A : B] is formed by two noncrossing perfect matchings, above A and below B the same endpoints, which form a single closed loop. We prove that meanders are connected under appropriate pairs of balanced local moves, one operating on A and the other on B. We also prove that the subs...
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متن کاملMeander formation in supraglacial streams
[1] Meandering streams on the surface of glaciers are similar in planform geometry to meanders in alluvial and bedrock rivers, despite fundamental differences in the mechanisms and timescales of incision. We develop depth-averaged conservation equations for flow in such supraglacial channels with erodible boundaries and solve the linear stability problem for harmonic perturbations to an initial...
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ژورنال
عنوان ژورنال: Prostor
سال: 2018
ISSN: 1333-9117,1330-0652
DOI: 10.31522/p.26.1(55).3