Preprints
D. A. Jekel, T. A. Kemp, and E. A. Nikitopoulos, Noncommutative L^p-integrators and stochastic differential equations in L^p, preprint arXiv:2609.23948 [math.PR] (2026), submitted.
E. A. Nikitopoulos, Lexicographic functional calculus and its application to functional calculus calculus, preprint arXiv:2608.08404 [math.FA] (2026), submitted.
I. Ekren, E. A. Nikitopoulos, and L. Vy, Multidimensional stochastic liquidity in Kyle's model of informed trading, preprint arXiv:2607.10934 [q-fin.TR] (2026).
D. Jekel, E. A. Nikitopoulos, and F. Parraud, Asymptotic expansion for transport maps between laws of multimatrix models, preprint arXiv:2604.03213 [math.PR] (2026).
B. K. Driver, B. C. Hall, C. W. Ho, T. Kemp, Y. Nemish, E. A. Nikitopoulos, and F. Parraud, Matrix random walks and the lima bean law, preprint arXiv:2510.10712 [math.PR] (2025).
Peer-reviewed publications
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), accepted for publication in SIAM Journal on Applied Dynamical Systems.
D. A. Jekel, T. A. Kemp, and E. A. Nikitopoulos, A martingale approach to noncommutative stochastic calculus, Journal of Functional Analysis 290 (2026), article 111200.
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), article 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.