Mixing rank-one actions of locally compact abelian groups
Alexandre I. Danilenko, Cesar E. Silva (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Alexandre I. Danilenko, Cesar E. Silva (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Johnson, Aimee S.A., Şahin, Ayşe A. (1998)
The New York Journal of Mathematics [electronic only]
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A. Laurinčikas, R. Macaitienė (2004)
Open Mathematics
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Here we prove a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for a general Dirichlet series. The explicit form of the limit measure in this theorem is given.
Li, Yu-Shuang, Wang, Jun (2007)
The Electronic Journal of Combinatorics [electronic only]
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Labarbe, Jean-Maxime, Marckert, Jean-Francois (2007)
Electronic Journal of Probability [electronic only]
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Gnedin, Alexander, Olshanski, Grigori (2009)
The Electronic Journal of Combinatorics [electronic only]
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Bouchard, Pierre, Chang, Hungyung, Ma, Jun, Yeh, Jean, Yeh, Yeong-Nan (2010)
The Electronic Journal of Combinatorics [electronic only]
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Gao, Peng (2003)
International Journal of Mathematics and Mathematical Sciences
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Morris, Gary, Ward, Thomas B. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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Tomasz Downarowicz, Jacek Serafin (2009)
Studia Mathematica
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We present an example of a rank-one partially mixing ℤ²-action which possesses a non-rigid factor and for which the Weak Closure Theorem fails. This is in sharp contrast to one-dimensional actions, which cannot display this type of behavior.
El Abdalaoui, El Houcein, Nogueira, Arnaldo, de la Rue, Thierry (2005)
The New York Journal of Mathematics [electronic only]
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Chattopadhyay, Rita (1987)
International Journal of Mathematics and Mathematical Sciences
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