Kevin Leon Merdy

Operational Reality across Scales of Resolution and Noise

In information theory, how much an observation reveals about a specified physical event in a system such as a particle, a dynamical system or a sensor network can be measured by Theil's uncertainty coefficient (Theil's U), a known statistical quantity. This fraction is called the...

Predicting Recurrent Events with an Adaptive Non-Markov Memory Model

It is well known that many sequential events are not completely random: The past can influence the future. Events may thus follow cycles, cluster after earlier events, repeat after a characteristic delay or change behaviour when the underlying system enters a different state. Bec...

Predicting Recurrent Events with an Adaptive Non-Markov Memory Model

It is well known that many sequential events are not completely random: The past can influence the future. Events may thus follow cycles, cluster after earlier events, repeat after a characteristic delay or change behaviour when the underlying system enters a different state. Bec...

Arbitrary-Lag Obstruction to Positive Strong Shift Equivalence over Z+[t] and the Polynomial Baker Problem

Nonnegative integer matrices encode shifts of finite type, and Williams showed that topological conjugacy is characterized by strong shift equivalence (SSE), generated by elementary factorizations A = RS, B = SR with nonnegative factors. Baker's matrices Ak = (1, k+1; k, 1), Bk =...