getdoceba9. 261KB Jun 04 2011 12:05:08 AM
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It says that if you start a simple random walk at any vertex of a finite (connected) graph G and draw every edge it traverses except when it would complete a cycle (i.e., except when
We then use the basic fact that all totally positive nonsingular square matrices are products of matrices with strictly positive diagonal entries, and all other entries zero aside
The motivation in these papers, as here, is to ask whether an asymptotically stable deterministic system will remain (almost surely) asymptotically stable when it is subjected to
We extend this result to a natural multiparameter version of Taylor and Wendel’s theorem on the relationship between Brownian local time and the Hausdorff φ -measure of the zero
The main application of the following theorem may be to establish that certain Markov matrices arising in applications are not embeddable, and hence either that the entries are
We show that, given the Poisson process points, almost surely, the chance of surviving to time t is like e − αlog ( 1 k ) t , as t tends to infinity if k, the jump rate of the
d for d ≥ 2 with a positive Lyapunov exponent, and show that any nontrivial connected set almost surely contains points whose distance from the origin under the flow grows linearly
This result implies almost sure convergence of empirical periodograms, almost sure convergence of spectral distribution of circulant and reverse circulant matrices, and almost
