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Author

Leonidas Kordalis

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Preprint Jul 2026

Multi-time Markov renewal chains and stratified renewal theorems

We develop stratified renewal theorems for multi-time observations of Markov-additive paths on standard Borel state spaces with nonnegative integer vector increments. Horizon directions with the same active constraints form strata. A compact-uniform inverse expansion yields a global limit in a topology combining hypi-c...

Leonidas Kordalis, S. Trevezas · 0 citations
Preprint Jul 2026

Multi-time Markov renewal chains and stratified renewal theorems

We develop a discrete Markov renewal theory on a standard Borel state space, with vector-valued sojourn times and lower-rectangle observation on $\N^d$. The Markov renewal potential is a kernel-valued convolution resolvent and yields unified representations for semi-Markov transitions, first-passage laws, occupation me...

Leonidas Kordalis, Samis Trevezas · 0 citations

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