2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223571We use $p$-component fermions $(p=2,3,...)$ to present $(2p-2)N$-fold integrals as a fermionic expectation value. This yields fermionic representation for various $(2p-2)$-matrix models. Links with the $p$-component KP hierarchy and also with the $p$-component TL hierarchy are discussed. We show that the set of all (but two) flows of $p$-component TL changes standard matrix models to new ones.16 pages, submitted to a special issue of Theoretical and Mathematical PhysicsMathematical PhysicsHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext