Deift, Percy, (1945-)

Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Random matrices (probabilistic aspects; for algebraic aspects see 15B52). Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- Painlevé-type functions. Probability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory. Partial differential equations -- Equations of mathematical physics and other areas of application -- Riemann-Hilbert problems. Linear and multilinear algebra; matrix theory -- Special matrices -- Random matrices. Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Exactly solvable dynamic models. Orthogonal polynomials. Combinatorial analysis. Combinatorics -- Enumerative combinatorics -- Exact enumeration problems, generating functions. Approximations and expansions -- Approximations and expansions -- Asymptotic approximations, asymptotic expansions (steepest descent, etc.). Operator theory -- Special classes of linear operators -- Toeplitz operators, Hankel operators, Wiener-Hopf operators. Convex and discrete geometry -- Discrete geometry -- Tilings in $2$ dimensions. Random matrices.