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Chen, Chung-Chuan. Recurrence of Cosine Operator Functions on Groups. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 693-704. doi: 10.4153/CMB-2016-011-2
@article{10_4153_CMB_2016_011_2,
author = {Chen, Chung-Chuan},
title = {Recurrence of {Cosine} {Operator} {Functions} on {Groups}},
journal = {Canadian mathematical bulletin},
pages = {693--704},
year = {2016},
volume = {59},
number = {4},
doi = {10.4153/CMB-2016-011-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-011-2/}
}
[1] [1] Bayart, F. and Matheron, E., Dynamics of linear operators. Cambridge Tracts in Mathematics, 179, Cambridge University Press, Cambridge, 2009. http://dx.doi.Org/10.1017/CBO9780511581113 Google Scholar
[2] [2] Bayart, F. and Grivaux, S., Invariant Gaussian measures for operators on Banach spaces and linear dynamics. Proc. Lond. Math. Soc. 94(2007), no. 2,181-210. http://dx.doi.Org/10.1112/plms/pdl013 Google Scholar
[3] [3] Bonilla, A. and Miana, P., Hypercyclic and topologically mixing cosine functions on Banach spaces. Proc. Amer. Math. Soc. 136(2008), no. 2, 519–528. http://dx.doi.Org/10.1090/S0002-9939-07-09036-3 Google Scholar
[4] [4] Chang, S-J. and Chen, C-C., Topological mixing for cosine operator functions generated by shifts. Topology Appl. 160(2013), no. 2, 382–386. http://dx.doi.Org/10.101 6/j.topol.2012.11.01 8 Google Scholar
[5] [5] Chen, C-C., Chaos for cosine operator functions generated by shifts. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 24(2014), Article ID 1450108. http://dx.doi.Org/10.1142/S0218127414501089 Google Scholar
[6] [6] Chen, C-C., Chaos for cosine operator functions on groups. Abstr. Appl. Anal. 2014, Article ID 603234. http://dx.doi.Org/10.1155/2014/603234 Google Scholar
[7] [7] Chen, C-C., Topological transitivity for cosine operator functions on groups. Topology Appl. 191(2015), 48–57. http://dx.doi.Org/10.1016/j.topol.2015.05.005 Google Scholar
[8] [8] Chen, C-C., Recurrence for weighted translations on groups. Acta Math. Sci. Ser. B Engl. Ed. 36(2016), no. 2, 443–452. http://dx.doi.Org/10.1016/SO252-96O2(16)30011-X Google Scholar
[9] [9] Chen, C-C. and Chu, C-H., Hypercyclic weighted translations on groups. Proc. Amer. Math. Soc. 139(2011), no. 8, 2839–2846. http://dx.doi.Org/10.1090/S0002-9939-2011-10718-4 Google Scholar
[10] [10] Costakis, G., Manoussos, A., and Parissis, I., Recurrent linear operators. Complex Anal. Oper. Theory 8(2014), no. 8, 1601–1643. http://dx.doi.Org/10.1007/s11785-013-0348-9 Google Scholar
[11] [11] Costakis, G. and Parissis, I., Szemeredi's theorem, frequent hypercyclicity and multiple recurrence. Math. Scand. 110(2012), no. 2, 251–272. Google Scholar
[12] [12] Grosse-Erdmann, K.-G. and Peris Manguillot, A., Linear chaos. Universitext, Springer, London, 2011. http://dx.doi.Org/10.1007/978-1-4471-2170-1 Google Scholar
[13] [13] Kalmes, T., Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators. J. Math. Anal. Appl. 365(2010), no. 1. 363–375. http://dx.doi.Org/10.1016/j.jmaa.2009.10.063 Google Scholar
[14] [14] Kostic, M., Hypercyclic and chaotic integrated C-cosine functions. Filomat 26(2012), no. 1,1-44. http://dx.doi.Org/10.2298/FIL1201001K Google Scholar
[15] [15] Tian, C. and Chen, G., Chaos of a sequence of maps in a metric space. Chaos Soliton Fractals 28(2006), no. 4, 1067–1075. http://dx.doi.Org/10.1016/j.chaos.2005.08.127 Google Scholar
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