We take a step towards the non-perturbative description of two-dimensional dilaton-gravity theory which has vanishing cosmological constant and contains black holes. This is done in terms double-scaled Hermitian random matrix model non-perturbatively computes partition function for asymptotic Bondi Hamiltonian. To arrive at this connection we first construct gauge-invariant phase space determin...

This paper proposes a new method for computing stable rational doubly coprime factorizations from a given transfer matrix. In contrast to the well-known method which requires a state space representation, the proposed method makes full use of polynomial matrices, and the whole operation is carried out directly in the frequency domain. Furthermore, the paper clarifies the meaning of the obtained...