000			01991cam a2200265 a 4500
001			4365753
005			20250609115535.0
008			900215s1989 enka b 100 0 eng
020			_a9780521369190
040			_aCSL _cCSL
084			_aB16 M9 NBHM _qCSL
245	0	0	_aNumber theory and dynamical systems
260			_aCambridge ; _aNew York : _bCambridge University Press, _c1989.
300			_a172 p. : _bill. ; _c23 cm.
440		0	_aLondon Mathematical Society lecture note series ; _v134 _9812146
500			_aContributions from a meeting held at the University of York, March 30-April 15, 1987.
504			_aIncludes bibliographical references.
520			_aThis volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability of the solar system where problems of small divisors associated with the near resonance of planetary frequencies arose. Previously the question of the stability of the solar system was answered in more general terms by the celebrated KAM theorem, in which the relationship between near resonance (and so Diophantine approximation) and stability is of central importance. Other examples of the connections involve the work of Szemeredi and Furstenberg, and Sprindzuk. As well as containing results on the relationship between number theory and dynamical systems, the book also includes some more speculative and exploratory work which should stimulate interest in different approaches to old problems.
650		0	_aNumber theory _9434274
650		0	_aDifferentiable dynamical systems _9717560
650		0	_a KAM theorem _9812162
700	1		_aDodson, M. M. _eeditor _9812163
700	1		_aVickers, J. A. G. _eco-editor _9812164
942			_2CC _n0 _cTEXL _hB13 M9 NBHM
999			_c1431499 _d1431499