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## Abstract

The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and creation operators obey the quon algebra which interpolates between fermions and bosons. In this paper we generalize these models by introducing a deformation of the quon algebra generated by a collection of operators *a*
_{i,k}, (*i, k*) ∈ ℕ* × [*m*], on an infinite dimensional vector space satisfying the deformed *q*-mutator relations *q*, the vector space generated by the particle states obtained by applying combinations of *a*
_{i,k}’s and