Wykaz obszarów badawczych:
| # | Research Area | Dziedzina naukowa |
|---|---|---|
| 1 | My area of expertise is probability theory. Strand 1. Applications of probabilistic, algebraic and analytic methods in modern mathematical statistics, especially in graphical models. In particular, I study the problem of model selection for so-called colored graphical models. Strand 2. The study of distributions of solutions of stochastic fixed point equations (equivalently - iterated random functions or systems). I am particularly interested in generalizations of known problems to the case of infinite matrices and relations to free probability. Strand 3. Characterizations of probability distributions (of the type of the Kac-Bernstein Theorem), the Rosenblatt transformation and their relations with ""integrable probability"", directed polymers and in general with the KPZ universality class. | Mathematics |