000			01398nam a22002057a 4500
003			OSt
005			20241129113416.0
008			191213b ||||| |||| 00| 0 eng d
020			_a9780821826959
040			_cTata Book House _aICTS-TIFR
050			_aQA 404.5
100			_aPercy Deift
245			_aOrthogonal polynomials and random matrices _b : a Riemann-Hilbert approach
260			_aRhode Island: _bAmerican Mathematical Society: _c[c1998]
300			_a261 p
490			_aCourant Lecture Notes _vVol. 3
505			_aChapter 1. Riemann-Hilbert problems Chapter 2. Jacobi operators Chapter 3. Orthogonal polynomials Chapter 4. Continued fractions Chapter 5. Random matrix theory Chapter 6. Equilibrium measures Chapter 7. Asymptotics for orthogonal polynomials Chapter 8. Universality
520			_aThis volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models. The central question was the following: Why do very general ensembles of random n×n matrices exhibit universal behavior as n→∞? The main ingredient in the proof is the steepest descent method for oscillatory Riemann-Hilbert problems. --- summary provided by publisher
942			_2lcc _cBK
999			_c2951 _d2951