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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 276, Pages 204–218 (Mi znsl1417)  
Random walks on plane crystallographic groups

V. G. Zhuravlev, A. A. Yudin

Vladimir State Pedagogical University
Full-text PDF (227 kB)
Abstract: For the example of the group $G=pgg$ generated by two orthogonal gliding symmetries, we calculate the generating matrix. For the same example, we reduce the property of random walks on planar crystallographic groups to the local behavior of the resolvent.
Received: 12.02.2001
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 118, Issue 1, Pages 4852–4860
DOI: https://doi.org/10.1023/A:1025524717230
Bibliographic databases:
UDC: 519.21+512.86
Language: Russian
Citation: V. G. Zhuravlev, A. A. Yudin, “Random walks on plane crystallographic groups”, Analytical theory of numbers and theory of functions. Part 17, Zap. Nauchn. Sem. POMI, 276, POMI, St. Petersburg, 2001, 204–218; J. Math. Sci. (N. Y.), 118:1 (2003), 4852–4860
Citation in format AMSBIB
\Bibitem{ZhuYud01}
\by V.~G.~Zhuravlev, A.~A.~Yudin
\paper Random walks on plane crystallographic groups
\inbook Analytical theory of numbers and theory of functions. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 276
\pages 204--218
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1417}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850368}
\zmath{https://zbmath.org/?q=an:1076.60037}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 118
\issue 1
\pages 4852--4860
\crossref{https://doi.org/10.1023/A:1025524717230}
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