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