000			01606nam a22001817a 4500
003			OSt
005			20240930143527.0
008			190710b ||||| |||| 00| 0 eng d
020			_a9780198744191
040			_cTata Book House _aICTS-TIFR
050			_aQA188
100			_aAkemann Gernot
245			_aThe Oxford handbook of random matrix theory
260			_aNew York: _bOxford University Press, _c[c2015]
300			_a919 p
520			_aThis handbook showcases the major aspects and modern applications of random matrix theory (RMT). It examines the mathematical properties and applications of random matrices and some of the reasons why RMT has been very successful and continues to enjoy great interest among physicists, mathematicians and other scientists. It also discusses methods of solving RMT, basic properties and fundamental objects in RMT, and different models and symmetry classes in RMT. Topics include the use of classical orthogonal polynomials (OP) and skew-OP to solve exactly RMT ensembles with unitary, and orthogonal or symplectic invariance respectively, all at finite matrix size; the supersymmetric and replica methods; determinantal point processes; Painlevé transcendents; the fundamental property of RMT known as universality; RNA folding; two-dimensional quantum gravity; string theory; and the mathematical concept of free random variables. In addition to applications to mathematics and physics, the book considers broader applications to other sciences, including economics, engineering, biology, and complex networks.--- summary provided by publisher
942			_2lcc _cBK
999			_c2778 _d2778