RESEARCH INTERESTS:
• Machine learning;
• Neural networks;
• 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).