Preprints
N. Karris, E. A. Nikitopoulos, I. G. Kevrekidis, S. Lee, and A. Cloninger. Using linearized optimal transport to predict the evolution of stochastic particle systems. Preprint, arXiv:2408.01857 [math.NA] (2024). Submitted.
D. A. Jekel, T. A. Kemp, and E. A. Nikitopoulos. A martingale approach to noncommutative stochastic calculus. Preprint, arXiv:2308.09856 [math.OA] (2023). Accepted for publication in Journal of Functional Analysis.
Peer-reviewed publications
E. A. Nikitopoulos. Multiple operator integrals in non-separable von Neumann algebras. Journal of Operator Theory 89 (2023), 361–427.
E. A. Nikitopoulos. Noncommutative C^k functions and Fréchet derivatives of operator functions. Expositiones Mathematicae 41 (2023), 115–163.
E. A. Nikitopoulos. Higher derivatives of operator functions in ideals of von Neumann algebras. Journal of Mathematical Analysis and Applications 519 (2023), 126705.
E. A. Nikitopoulos. Itô's formula for noncommutative C^2 functions of free Itô processes. Documenta Mathematica 27 (2022), 1447-1507. Erratum: Documenta Mathematica 28 (2023), 1275–1277.
Other
E. A. Nikitopoulos. Functional calculus calculus. Oberwolfach "Non-commutative Function Theory and Free Probability" workshop report (E. A. Nikitopoulos, reporter), 2024, no. 22, pp. 38–40.
If you are interested in my dissertation, On differentiating maps induced by functional calculus and applications to free stochastic calculus, please click here. If you are interested in my undergraduate thesis, "Instantaneous Normal Mode Analysis on Arbitrary Configuration Manifolds," then please click here.