84 citations · 686 across the 54 of their papers we have counts for
57 papers
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…
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…
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…
A new approach to the theory of optimal income tax
Vassili N. Kolokoltsov, Egor M. Dranov, Denis E. Piskun
The Nobel-price winning Mirrlees' theory of optimal taxation inspired a long sequence of research on its refinement and enhancement. However, an issue of concern has been always th…
On quantum Stochastic Master equations
Vassili N. Kolokoltsov
Stochastic Master equations or quantum filtering equations for mixed states are well known objects in quantum physics. Building a mathematically rigorous theory of these equations…
On the control over the distribution of ticks based on the extensions of the KISS model
Vassili N. Kolokoltsov
Ticks and tick-borne diseases present a well known threat to the health of people in many parts of the globe. The scientific literature devoted both to field observations and to mo…