PUBLICATIONS:
30. T. Byczkowski, J. Małecki, T. Żak,
Ehrhard-type inequality for the isotropic Cauchy distribution on the plane.
[online]
Probab. Math. Stat. doi:10.37190/0208-4147.00036 (2022)
29. K. Burdzy, J. Małecki,
Archimedes principle for ideal gas.
[online]
Comm. Math. Phys. vo. 392, p. 185–217 (2022)
28. J. Małecki, J. L. Perez,
Universality classes for general random matrix flows.
[online]
Ann. Inst. H. Poincaré Probab. Statist. 58 (2), 722-754, (2022)
27. L. Chaumont, J. Małecki,
Density behaviour related to Lévy processes.
[online]
Trans. Amer. Math. Soc. 374 (2021), 1919-1945
26. J. Małecki, K. Stempak,
Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of Rd.
[online]
[PDF]
Studia Mathematica 251 (2020), 171-193.
25. L. Chaumont, J. Małecki,
The entrance law of the
excursion measure of the reflected process for some classes of Lévy processes
[online]
[PDF]
Acta Applicandae Mathematicae 169, p. 59–77 (2020)
24. J. Małecki, G. Serafin,
Dirichlet heat kernel for the Laplacian in a ball.
2[online]
[PDF]
Potential Anal. 52, p. 545–563 (2020)
23. P. Graczyk, J. Małecki,
On squared Bessel particle systems.
[online]
[PDF]
Bernoulli 25(2), 2019, 828–847
22. L. Chaumont, J. Małecki,
Short proofs in extrema of spectrally one sided Lévy processes
[online]
[PDF]
Electron. Commun. Probab. vol. 23 (2018), paper no. 55.
21. P. Graczyk, J. Małecki, E. Mayerhofer,
A characterization of Wishart processes and Wishart distributions.
[online]
Stoch. Proc. Appl. vol 128, no. 4 (2018), p. 1386-1404.
20. K. Kaleta, M. Kwaśnicki, J. Małecki,
Asymptotic estimate of eigenvalues of pseudo-differential operators in an interval.
[online]
[PDF]
J. Math. Anal. Appl. Volume 439, Issue 2 (2016), p. 896–924
19. J. Małecki, G. Serafin, T. Żórawik,
Fourier-Bessel heat kernel estimates.
[online]
[PDF]
J. Math. Anal. Appl. Volume 439, Issue 1 (2016), p. 91-102
18. K. Bogus, J. Małecki,
Heat kernel estimates for the Bessel differential operator in half-line.
[online]
[PDF]
Math. Nachr. Volume 289, Issue 17-18 (2016), p. 2097–2107
17. L. Chaumont, J. Małecki,
On the asymptotic behavior of the density of the supremum of Lévy processes.
[online]
[PDF]
Ann. Inst. H. Poincaré Probab. Statist. Volume 52, Number 3 (2016), p. 1178-1195.
16. K. Bogus, T. Byczkowski, J. Małecki,
Sharp estimates of Green function of hyperbolic Brownian Motion.
[online]
[PDF]
Studia Math. 228 (3) (2015), p. 197-222
15. K. Bogus, J. Małecki,
Sharp estimates of transition probability density for Bessel process in half-line.
[online]
[PDF]
Potential Analysis, Volume 43, Issue 1 (2015), p. 1-22.
14. P. Graczyk, J. Małecki,
Strong solutions of non-colliding particle systems
[online]
[PDF]
Electron. J. Probab. 19 (2014), no. 119
13. K. Kaleta, M. Kwaśnicki, J. Małecki,
One-dimensional quasi-relativistic particle in the box.
[online]
[PDF]
Rev. Math. Phys. vol. 25(8), 1350014 (2013),
12. M. Kwaśnicki, J. Małecki, M. Ryznar,
Suprema of Lévy processes.
[online]
[PDF]
Annals Probab. vol. 41, no. 3B (2013), p. 2047-2065,
11. T. Byczkowski, J. Małecki, M. Ryznar,
Hitting times of Bessel processes
[online]
[PDF]
Potential Anal. vol. 38 (2013), p. 753–786
10. M. Kwaśnicki, J. Małecki, M. Ryznar,
First passage times for subordinate Brownian motions.
[online]
[PDF]
Stoch. Proc. Appl. vol. 123, no. 5 (2013), p. 1820–1850
9. P. Graczyk, J. Małecki,
Multidimensional Yamada-Watanabe theorem and its applications to particle systems
[online]
[PDF]
J. Math. Phys. 54, 021503 (2013)
8. T. Byczkowski, J. Chorowski, P. Graczyk, J. Małecki,
Hitting half-spaces or spheres by the Ornstein-Uhlenbeck type diffusions.
[online]
[PDF]
Colloq. Math. 129 (2012), p. 145-171
7. J. Lorinczi, J. Małecki,
Spectral properties of the massless relativistic harmonic oscillator
[online]
[PDF]
J. Differential Equations 253 (2012), p. 2846–2871
6. J. Małecki, G. Serafin,
Hitting hyperbolic half-space.
[online]
[PDF]
Demonstratio Mathematica 45(2) (2012), p. 337-360
5. T. Kulczycki, M. Kwaśnicki, J. Małecki, A. Stós,
Spectral properties of the Cauchy process on half-line and interval.
[online]
[PDF]
Proc. London Math. Soc. (2010) 101(2): p. 589-622
4. T. Byczkowski, J. Małecki, T. Żak,
Feynman-Kac formula, λ–Poisson kernels and
λ-Green functions of half-spaces and balls in hyperbolic spaces.
[online]
[PDF]
Colloq. Math. 118 (2010), p. 201-222,
3. T. Byczkowski, J. Małecki, M. Ryznar,
Hitting half-spaces by Bessel-Brownian diffusions [online]
[PDF]
Potential Anal. vol. 33 no. 1 (2010), p. 47-83,
2. T. Byczkowski, J. Małecki, M. Ryznar,
Bessel potentials, hitting distributions and Green functions
[online]
[PDF]
Trans. Amer. Math. Soc. 361 (2009), p. 4871-4900,
1. T. Byczkowski, J. Małecki,
Poisson kernel and Green function of the ball in real hyperbolic spaces
[online]
[PDF]
Potential Anal. vol.27 no.1 (2007), p. 1-26,
HABILITATION THESIS:
"Potential theory of Bessel processes in half-lines",
Wroclaw University of Science and Technology (20.12.2016)
DOCTORAL DISSERTATION:
"Potential theory on hyperbolic spaces",
Wroclaw University of Technology (03.06.2008)
MASTER'S THESIS:
"Teoria potencjału na przestrzeniach hiperbolicznych",
Wroclaw University of Technology (18.06.2005)
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PARTICIPATION IN CONFERENCES:
• "Mini-Workshop: Free Probability and Related Topic", Tokio, Japan (13 - 14 August 2019)
talk: Matrix-valued SDEs and free diffusions.
• "Stochastic Analysis, Random Fields and Integrable Probability", Fukuoka, Japan (31 July - 9 August 2019)
talk: Universality classes for general random matrix flows.
• "Stochastic Processes and their Applications", Evaston, USA (8-12 July 2019)
talk: Universality classes for general random matrix flows.
• "9th International Conference on Stochastic Analysis and Its Applications", Bielefeld, Germany (3 - 7 September 2018)
talk: Particle systems, empirical measures and free diffusions.
• "Mini-workshop: Modern theory of particle systems", Wroclaw (27 June - 29 June 2018)
talk: Convergence of empirical measures for eigenvalues of general matrix-valued processes.
• "Workshop on PDEs/SPDEs and Functional Inequalities II", Warsaw (4 June - 6 June 2018)
talk: Symmetric polynomials and stochastic particle systems.
• "Workshop on PDEs/SPDEs and Functional Inequalities I", Będlewo (22 Apr - 28 Apr 2018)
talk: Particle systems and related empirical measures.
• "1st Mexico-Poland meeting in probability", CIMAT, Guanajuato, Mexico (27 Nov - 1 Dec 2017)
talk: Particle systems and related empirical measures.
• "The 8th International Conference on Lévy Processes", Angers, France (25-29 July 2016)
talk: On suprema of Levy processes
• "3rd Conference on Nonlocal Operators and Partial Differential Equations", Bedlewo, Poland (June 2016)
talk: Bessel heat kernel estimates
• "Probabilistic Aspects of Harmonic Analysis", Bedlewo, Poland (May 14-21, 2016)
talk: Matrix processes, eigenvalues and symmetric
polynomials
• "6th Forum of Polish Mathematician", Warsaw, Poland (September 2015)
talk: Metody analityczne i probabilistyczne w szacowaniach jader ciepła dla
operatorów Bessela
• "38th Conference on
Stochastic Processes and Their Applications", Oxford, UK (July 2015)
talk: On the asymptotic behavior of the density of the supremum of Levy processes;
•
"Probability and Analysis", Będlewo, Poland (May 2015)
talk: On the asymptotic behavior of the density of the supremum of Levy processes;
• "XIII Conference on Probability Theory", Będlewo, Poland (May 19-23, 2014)
talk: Bezkolizyjne układy cząstek;
• "5th International Conference on Stochastic Analysis and Its Applications", Bonn, Germany (September 2011)
talk: Suprema of Levy processes;
• "34th Conference on
Stochastic Processes and Their Applications", Osaka, Japan (September 2010)
talk: Hitting half-spaces by Bessel-Brownian diffusions;
• "4th International Conference on Stochastic Analysis and Its Applications", Osaka, Japan (August 2010)
talk: Hitting half-spaces by Bessel-Brownian diffusions;
• "Nonlocal operators and partial differential equations", Będlewo, Poland (June 2010)
• "The Józef Marcinkiewicz Centenary Conference", Poznan, Poland (June 2010)
talk: Hitting half-spaces by Bessel-Brownian diffusions;
• "Analysis, Geometry and Probability related to Group Actions", Zakopane, Poland (April 2010)
talk: Hitting half-spaces by Bessel-Brownian diffusions;
• "Séminaire tournant des Pays de La Loire", Le Mans, France (March 2010)
talk: Spectral properties of the Cauchy process killed upon exit from interval and halfline;
• "XXVIII International Seminar on Stability Problems for Stochastic Models", Zakopane, Poland (June 2009)
talk: Hitting distribution of geometric Brownian motion;
• "Workshop: Schrödinger operators and stochastic processes", Wrocław, Poland (May 2009)
Talk: On potential theory on hyperbolic spaces;
• "Workshop on jump processes", Dresden, Germany (January 14-17, 2009)
Talk: Potential theory of relativistic stable processes;
• "2nd International Conference on Stochastic Analysis and Its Applications", Seul, South Korea (May 28-31, 2008)
Talk: Bessel potentials, hitting
distributions and Green functions;
• "X Conference on Probability Theory", Będlewo, Poland (May 19-23, 2008)
Talk: Potencjały Bessela, rozkłady trafienia i funkcje Greena;
• "IX Conference on Probability Theory"
, Będlewo, Poland (May 22-26, 2006)
Talk: Jądro Poissona i funkcja Greena kuli w rzeczywistych przestrzeniach hiperbolicznych;
• "Stochastic and Harmonic Analysis of Processes with Jumps", Angers, France (May 2-9, 2006)
Talk: Poisson kernel and Green function of the ball in real hyperbolic spaces;
• "Warsaw Probability Meeting", Warsaw, Poland (December 15-16, 2005)
Announcement: Green function of the half-space in real hyperbolic spaces;
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