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On the Problem of Random Walk without Self-intersections

✍ Scribed by V. I. Alkhimov

Publisher: John Wiley and Sons
Year: 1980
Tongue: English
Weight: 181 KB
Volume: 492
Category: Article
ISSN: 0003-3804
DOI: 10.1002/andp.19804920105

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✍ D.C. Conrad; W. Soedel 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 496 KB

Walk of horizontal and vertical axis washers was investigated using rudimentary dynamic models of these washing machine systems. The models predict the qualitatively observed characteristics of walk. The results obtained in this study explain why the vertical axis washer typically exhibits an oscill

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✍ James A Mingo; Alexandru Nica 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 475 KB

Let 1 2n be the set of paths with 2n steps of unit length in Z 2 , which begin and end at (0, 0). For # # 1 2n , let area(#) # Z denote the oriented area enclosed by #. We show that for every positive even integer k, there exists a rational function R k with integer coefficients, such that: We calc

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On the Mean and Variance of Cover Times

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✍ Frank Ball; Bruce Dunham; A Hirschowitz 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 141 KB

A method is described for calculating the mean cover time for a particle performing a simple random walk on the vertices of a finite connected graph. The method also yields the variance and generating function of the cover time. A computer program is available which utilises the approach to provide