RESEARCH INTERESTS:


 •  Bessel processes;
 •  Bessel bridges;
 •  Potential theory of Brownian Motion on hyperbolic space;
 •  Smoothing transform;
 •  Stochastic fixed-point equation;



PUBLICATIONS:



 5.  K. Bogus, D. Buraczewski, A. Marynych,
      Self-similar solutions of kinetic-type equations: The boundary case. [online]
      Stochastic Processes and their Applications, Volume 130, Issue 2, p. 677-693 (2020)

 4.  K. Bogus,
      Asymptotic behaviour of the Bessel heat kernels. [online]
      Mathematische Zeitschrift, Volume 293, p. 1601–1621 (2019),

 3.  K. Bogus, J. Małecki,
      Heat kernel estimates for the Bessel differential operator in half-line. [online]
      Mathematische Nachrichten, Volume 289, Issue 17-18, p. 2097–2107 (2016).

 2.  K. Bogus, T. Byczkowski, J. Małecki,
      Sharp estimates of Green function of hyperbolic Brownian Motion. [online]
      Studia Mathematica, Volume 228 (3) p. 197-221 (2015).

 1.  K. Bogus, J. Małecki,
      Sharp estimates of transition probability density for Bessel process in half-line. [online]
      Potential Analysis, Volume 43, Issue 1, p. 1-22 (2015).