3 papers
math-ph2026
Quantum filtering and propagation of chaos for open quantum systems, with applications to quantum feedback control and quantum mean-field games
Vassili N. Kolokoltsov
The theory of quantum filtering (of quantum continuous measurements) was developed by V.P. Belavkin about 40 years ago. Since then it attracted attention of numerous investigators…
math.NA2025
Matrix approach to the fractional calculus
V. N. Kolokoltsov, E. L. Shishkina
In this paper, we introduce the new construction of fractional derivatives and integrals with respect to a function, based on a matrix approach. We believe that this is a powerful…
math-ph2025
On the Mathematical Theory of Quantum Stochastic Filtering Equations for Mixed States
Vassili N Kolokoltsov
Quantum filtering equations for mixed states were developed in 80th of the last century. Since then the problem of building a rigorous mathematical theory for these equations in th…