01781aam a2200217 4500008004500000020001800045082001800063100002300081245003700104260004700141300001600188440004400204520098900248650002601237650002501263650002401288700004101312942001201353999001901365952017901384170522b2016 xxu||||| |||| 00| 0 eng d a9781107128651 a512.482bF7P7 aFranz, Uwe9344034 aProbability on real lie algebras bCambridge university pressc2016aNew York axix, 281 p. aCambridge Tracts in Mathematics9344035 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.
http://www.cambridge.org/catalogue/catalogue.asp?isbn=9781107128651
aProbabilities9344036 aLie algebras9344037 aMathematics9344038 aPrivault, NicolaseCo-author9344039 2ddccBK c206362d206362 00102ddc406512_482000000000000_F7P7708NFIC9347458aVSLbVSLcGENd2017-05-03e12g5400.92kSlot 1362 (0 Floor, East Wing)o512.482 F7P7p194423r2017-05-03v6751.16yBK