000			03266nam a22003978i 4500
001			CR9780511777653
003			UkCbUP
005			20201015164241.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100519s2010||||enk o ||1 0|eng|d
020			_a9780511777653 (ebook)
020			_z9780521515979 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA164 _b.C664 2010
082	0	4	_a511.6 _222
245	0	0	_aCombinatorics, automata, and number theory / _cedited by Valérie Berthé, Michel Rigo.
246	3		_aCombinatorics, Automata & Number Theory
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (xix, 615 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 135
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aPreliminaries / V. Berthé, M. Rigo -- Number representation and finite automata / Ch. Frougny, J. Sakarovitch -- Abstract numeration systems / P. Lecomte, M. Rigo -- Factor complexity / J. Cassaigne, F. Nicolas -- Substitutions, Rauzy fractals and tilings / V. Berthé, A. Siegel, J. Thuswaldner -- Combinatorics on Bratteli diagrams and dynamical systems / F. Durand -- Infinite words with uniform frequencies, and invariant measures / S. Ferenczi, T. Monteil -- Transcendence and Diophantine approximation / B. Adamczewski, Y. Bugeaud -- Analysis of digital functions and applications / M. Drmota, P.J. Grabner -- The equality problem for purely substitutive words / J. Honkala -- Long products of matrices / V.D. Blondel, R.M. Jungers.
520			_aThis collaborative volume presents trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these different fields. Topics include numeration systems, word complexity function, morphic words, Rauzy tilings and substitutive dynamical systems, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic properties of digital functions, decidability issues for D0L systems, matrix products and joint spectral radius. Topics are presented in a way that links them to the three main themes, but also extends them to dynamical systems and ergodic theory, fractals, tilings and spectral properties of matrices. Graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, fractals, tilings and stringology will find much of interest in this book.
650		0	_aCombinatorial analysis.
650		0	_aNumber theory.
650		0	_aMachine theory.
700	1		_aBerthé, V. _q(Valérie), _d1957- _eeditor.
700	1		_aRigo, Michel, _eeditor.
776	0	8	_iPrint version: _z9780521515979
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 135.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511777653
999			_c121146 _d121146