Research interests

Limit theorems, random fields, exchangeability, stochastic processes and analysis on fractals.

Preprints

Completely symmetric resistance forms on the Stretched Sierpinski gasket (with U.Freiberg and J.Kigami) arXiV.

Nonparametric entropy estimation of marked Poisson point processes (with E. Spodarev) arXiV.

The limit theorem for maximum of partial sums of exchangeable random variables (with A. Rakitko) arXiV.

Weyl asymptotics for Hanoi atrractors (with U. Freiberg) arXiV.


Publications

Energy and Laplacian on Hanoi-type fractal quantum graphs (with D. Kelleher and A. Teplyaev) arXiV, Journal of Physics A: Mathematical and Theoretical, Nr. 49, Vol. 4: 1501-1533, 2016.

Hanoi attractors and the Sierpinski gasket (with U. Freiberg), Special issue of Int. J. Math. Modelling and Nonlinear Optimization on Fractals, Fractal-based Methods and Applications, Nr. 4, Vol.3: 251-265, 2012.


Talks

Nonparametric entropy estimation of marked Poisson point processes - German Probability and Stochastic Days, Bochum 2016.