Current Appointments & Affiliations
Phillip Griffiths Assistant Research Professor of Mathematics
·
2025 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2025 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
On the Ziv–Merhav theorem beyond Markovianity I
Journal Article Canadian Journal of Mathematics · June 1, 2025 We generalize to a broader class of decoupled measures a result of Ziv and Merhav on universal estimation of the specific cross (or relative) entropy, originally for a pair of multilevel Markov measures. Our generalization focuses on abstract decoupling co ... Full text CiteQuenched Large Deviations of Birkhoff Sums Along Random Quantum Measurements
Journal Article Annales Henri Poincare · January 1, 2025 We prove a quenched version of the large deviation principle for Birkhoff-like sums along a sequence of random quantum measurements driven by an ergodic process. We apply the result to the study of entropy production in the two-time measurement framework. ... Full text CiteLarge Deviations of Return Times and Related Entropy Estimators on Shift Spaces
Journal Article Communications in Mathematical Physics · June 1, 2024 We prove the large deviation principle for several entropy and cross entropy estimators based on return times and waiting times on shift spaces over finite alphabets. We consider shift-invariant probability measures satisfying some decoupling conditions wh ... Full text CiteEducation, Training & Certifications
McGill University (Canada) ·
2021
Ph.D.