3 papers
math.PR2026
The Funessian process: Non-Markovian dynamics shaped by the first event
Bilal Canturk, Gokhan Baris Bagci, Onur Pusuluk
We construct a continuous-time, positively divisible non-Markovian process with memory of the initial state that satisfies the differential Chapman--Kolmogorov equation. In the sta…
quant-ph2025
Unification of stochastic matrices and quantum operations for N-level systems
Bilal Canturk
The time evolution of the one-point probability vector of stochastic processes and quantum processes for -level systems have been unified. Hence, quantum states and quantum oper…
math.PR2024
On positively divisible non-Markovian processes
Bilal Canturk, Heinz-Peter Breuer
There are some positively divisible non-Markovian processes whose transition matrices satisfy the Chapman-Kolmogorov equation. These processes should also satisfy the Kolmogorov co…