Matrix models are physical models in which the dynamical quantities are square matrices (in certain class of matrices, e.g. hermitian), in other words, a Lagrangian/Hamiltonian depends on matrix quantities and is usually taken at the limit when the size of matrix tends to infinity.
Matrix models are studied mainly in the context of statistical mechanics (see random matrix theory) or in quantum field theory.
Fredholm determinant, random matrix theory, determinental process?, Kontsevich matrix model?, large N limit
Matrix models that have been argued to capture D-brane dynamics and nonperturbative effects in string theory include
Discussion of topological recursion for matrix models originates with
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