@article{oai:ynu.repo.nii.ac.jp:00007026,
 author = {Naito, Koichiro and Nakamura, Yoshihisa},
 issue = {1},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, In our previous paper we estimated the upper and the lower recurrent dimensions of discrete orbits given by circle mappings and we have given the lower bounds of the gap values between the upper and the lower dimensions by using the parametrizing Diophantine conditions on the irrational rotation numbers. In this paper, estimating the upper bounds of the gap values, we give the exact gap values, which are described by the Diophantine parameters of the rotation numbers.},
 pages = {13--30},
 title = {RECURRENT DIMENSIONS AND DIOPHANTINE CONDITIONS OF DISCRETE DYNAMICAL SYSTEMS GIVEN BY CIRCLE MAPPINGS II},
 volume = {54},
 year = {2007}
}