000			02217nam a22003618i 4500
001			CR9781316415054
003			UkCbUP
005			20200124160213.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			150319s2016||||enk o ||1 0|eng|d
020			_a9781316415054 (ebook)
020			_z9781107128651 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA252.3 _b.F72 2016
082	0	0	_a512/.482 _223
100	1		_aFranz, Uwe, _eauthor.
245	1	0	_aProbability on real Lie algebras / _cUwe Franz, Université de Franche-Comté, Nicolas Privault, Nanyang Technological University, Singapore.
264		1	_aCambridge : _bCambridge University Press, _c2016.
300			_a1 online resource (xix, 281 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v206
500			_aTitle from publisher's bibliographic system (viewed on 05 Feb 2016).
520			_aThis monograph is a progressive introduction to non-commutativity in probability theory, summarizing and synthesizing recent results about classical and quantum stochastic processes on Lie algebras. In the early chapters, focus is placed on concrete examples of the links between algebraic relations and the moments of probability distributions. The subsequent chapters are more advanced and deal with Wigner densities for non-commutative couples of random variables, non-commutative stochastic processes with independent increments (quantum Lévy processes), and the quantum Malliavin calculus. This book will appeal to advanced undergraduate and graduate students interested in the relations between algebra, probability, and quantum theory. It also addresses a more advanced audience by covering other topics related to non-commutativity in stochastic calculus, Lévy processes, and the Malliavin calculus.
650		0	_aLie algebras.
650		0	_aProbabilities.
700	1		_aPrivault, Nicolas, _eauthor.
776	0	8	_iPrint version: _z9781107128651
830		0	_aCambridge tracts in mathematics ; _v206.
856	4	0	_uhttps://doi.org/10.1017/CBO9781316415054
999			_c516007 _d516005