4 papers
Multi-time Markov renewal chains and stratified renewal theorems
Leonidas Kordalis, Samis Trevezas
We develop a discrete Markov renewal theory on a standard Borel state space, with vector-valued sojourn times and lower-rectangle observation on . The Markov renewal potentia…
Discrete time-multidimensional renewal theory and applications
Leonidas Kordalis, Samis Trevezas
We develop a discrete-time renewal framework in which renewal events evolve along multiple time coordinates and the sojourn mechanism is described by a general distribution on the…
Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models
L. Kordalis, S. Trevezas
We consider finite-horizon convolution equations with matrix-valued coefficients and their use in Markov renewal computations. A sequence is inverted in a truncated noncommutative…
Time multidimensional Markov Renewal chains -- An algebraic approach
Leonidas Kordalis, Samis Trevezas
In this study, a new extension of the Markov Renewal theory is introduced by allowing time to evolve in multiple dimensions. The resulting chains are referred to as multi-time Mark…