Mathematics,
statistics,
probability theory,
nonparametric estimation,
modeling of stochastic processes,
Kalman filtration,
special functions,
Applied physics,
theoretical physics,
quantum information theory,
mathematical physics,
entanglement.
Subject:
Theoretical physics
Main publications:
L.A. Markovich, R. Grimaudo, A. Messina, H. Nakazato, “An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations”, Annals of Physics, 385 (2017), 522–531
V.I. Man'ko and L.A. Markovich, “Steering in spin tomographic probability representation”, Physica A: Statistical Mechanics and its Applications, 458 (2016), 266–275
L. A. Markovich, “Nonparametric estimation of multivariate density and its derivative by dependent data using gamma kernels”, Fundam. Prikl. Mat., 22:3 (2018), 145–177; J. Math. Sci., 254:4 (2021), 550–573
V. I. Man'ko, L. A. Markovich, “Unnormalized tomograms and quasidistributions of quantum states”, TMF, 197:2 (2018), 328–342; Theoret. and Math. Phys., 197:2 (2018), 1677–1689