Scientific

Institutions

On high spots of the fundamental sloshing eigenfunctions in axially symmetric domains (with Tadeusz Kulczycki), to appear in Proc. London Math. Soc. [arXiv]
Suprema of Lévy processes with Jacek Małecki and Michał Ryznar, to appear in Ann. Probab. [arXiv, pdf]
First passage times for subordinate Brownian motions with Jacek Małecki and Michał Ryznar [arXiv]
One-dimensional quasi-relativistic particle in the box with Kamil Kaleta and Jacek Małecki [arXiv]
Spectral theory for one-dimensional symmetric Lévy processes killed upon hitting the origin [arXiv]

Estimates and structure of α-harmonic functions with Krzysztof Bogdan and Tadeusz Kulczycki, Prob. Theory Rel. Fields 140(3–4) (2008), pp. 345–381 [online]
Spectral gap estimate for stable processes on arbitrary bounded open sets, Probab. Math. Statist. 28(1) (2008), pp. 163–167 [online]
Intrinsic ultracontractivity for stable semigroups on unbounded open sets, Potential Anal. 31(1) (2009), pp. 57–77 [online]
Eigenvalues of the Cauchy process on an interval have at most double multiplicity, Semigroup Forum 79(1) (2009), pp. 183–192 [online]
Spectral properties of the Cauchy process on half-line and interval with Tadeusz Kulczycki, Jacek Małecki and Andrzej Stós, Proc. London Math. Soc. 101(2) (2010), pp. 589–622 [online]
Boundary Harnack inequality for α-harmonic functions on the Sierpiński triangle with Kamil Kaleta, Probab. Math. Stat. 30(2) (2010), pp. 353–368 [online]
Spectral analysis of subordinate Brownian motions on the half-line, Studia Math. 206(3) (2011), pp. 211–271 [online]
Eigenvalues of the fractional Laplace operator in the interval, J. Funct. Anal. 262(5) (2012), s. 2379–2402 [online]

SPA 2010 (Osaka, Japan, 2010) [pdf]
4th International Conference on Stochastic Analysis and Its Applications (Osaka, Japan, 2010) [pdf]
Józef Marcinkiewicz Centenary Conference (Poznań, Poland, 2010) [pdf]
Nonlocal Operators and PDEs (Będlewo, Poland, 2010) [pdf]
Analysis, Geometry and Probability Related to Group Actions (Zakopane, Poland, 2010) [pdf/zip]
3rd International Conference on Stochastic Analysis and Its Applications (Beijing, China, 2009) [pdf]
Workshop on Schrödinger Operators and Stochastic Processes (Wrocław, Poland, 2009) [pdf]
Workshop on Jump Processes (Dresden, Germany, 2009) [pdf]
Fractal Geometry and Stochastics 4 (Greifswald, Germany, 2008) [pdf]
2nd International Conference on Stochastic Analysis and Its Applications (Seoul, Korea, 2008) [pdf]
X Conference on Probability (Będlewo, Poland, 2008; in Polish) [pdf]
Fractals and Related Fields (Monastir, Tunisia, 2007) [pdf]
5th Conference on Lévy Processes (Copenhagen, Denmark, 2007) [pdf]