getdoc5d3f. 246KB Jun 04 2011 12:04:25 AM
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In the paper [6] (see also [7]) the author has derived a precise estimate for the Euclidean norm which is attained in the case of normal matrices. But that estimate requires bounds
Assume that the contrary holds, i.e., suppose that there is a graph G of type-III such that G has the greatest maximum eigenvalue in G( n, ∆).. We consider the next
We thank Peter Forrester and Taro Nagao for pointing out the mistake in the proof of lemma 5.6 in (JN06), indicating that terms were missing in the expression for the GUE minor
We study lattice trees, lattice animals, and percolation on non-Euclidean lattices that correspond to regular tessellations of two- and three-dimensional hyperbolic space.. We
As before, note that the existence of a flow with finite energy on the percolation cluster is a 0-1 event, so we can assume that 0 belongs to the infinite cluster. has
The first occurs in equation (2.4), where we overlooked the possibility that the downgoing ladder time process has a positive drift.. Assume that 0 is
Since the latter “distance” between measures involves an appropriate coupling, that is, finding the optimal way of “transporting” mass from one measure to another, it has been
Roughly speaking, the Krawtchouk process is a system of non-colliding random walks in discrete time and the Charlier process is the continuous-time analogue (but note that they
