Research interests

Stochastic processes and analysis on fractals, limit theorems, random fields, exchangeability.

Preprints

Power dissipation in fractal Feynman-Sierpinski AC circuits arXiV.

Entropy-based inhomogeneity detection in porous media (with E. Spodarev) arXiV.

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


Publications

Estimation of entropy for Poisson marked point processes (with E. Spodarev), to appear in Advances in Applied Probability, Nr. 49. arXiV.

The limit theorem for maximum of partial sums of exchangeable random variables (with A. Rakitko), Statistics & Probability Letters, Vol.119: 357-362, 2016. arXiV.

Weyl asymptotics for Hanoi atrractors (with U. Freiberg), to appear in Forum Mathematicum, 2016. arXiV.

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

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.