Publications with links and files:
- R. Lenczewski, “Decomposition of free cumulants” manuscript, 2023
(arXiv version [pdf])
- R. Lenczewski, “Motzkin path decomposition of functionals in noncommutative probability”
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25 (2022), p. 2240002 (44 pages).
(arXiv version [pdf])
- R. Lenczewski, “Conditionally monotone independence and the associated products of graphs”
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22 (2019), p. 1950023 (24 pages).
(arXiv version [pdf])
- R. Lenczewski, “Random matrices, continuous circular systems and the triangular operator” Commun. Stochastic Analysis 12 (2018), no.3, 225-248
(COSA page [html],
arXiv version [pdf])
- R. Lenczewski, R. Sałapata, “Asymptotic distributions of Wishart type products of random matrices”
Colloq. Math. 155 (2019), no. 1, 67-106
(IMPAN page [pdf],
arXiv version [pdf])
- R. Lenczewski, “Matricial circular systems and random matrices”, Random Matrices Theory Appl.5 (2016), no. 4, 1650012.
(World Scientific page [pdf],
arXiv version [pdf])
- R. Lenczewski, “Limit distributions of Gaussian block ensembles”, Acta Phys. Polon. B 46 (2015), no. 9, 1833–1850.
(UJ page [pdf],
arXiv version [pdf])
- R. Lenczewski, “Random matrix model for free Meixner laws”, Int. Math. Res. Notices (2015), no. 11, 3499-3524
(Oxford page [html],
arXiv version [pdf])
- R. Lenczewski, “Limit distributions of random matrices”, Adv. Math. 263 (2014), 253-320
(Elsevier page [html], arXiv version
[pdf])
- R. Lenczewski, R. Sałapata, “Multivariate Fuss-Narayana polynomials and their application to random matrices”, Electron. J. Combin. 20 (2013), Issue 2
(EJC page [pdf], arXiv version
[pdf])
- R. Lenczewski, “Matricial R-transform”, J. Funct. Anal. 262 (2012), 1802-1844
(Elsevier page [html], arXiv version [pdf])
- R. Lenczewski, “Asymptotic properties of random matrices and pseudomatrices”, Adv. Math. 228 (2011), 2403-2440
(Elsevier page [html], arXiv version [pdf])
- R. Lenczewski, “Matricially free random variables”, J. Funct. Anal. 158 (2010), 4075-4121
(Elsevier page [html], arXiv version [pdf])
- R. Lenczewski, “Operators related to subordination for free multiplicative convolutions”, Indiana Univ. Math. J., 57 (2008), 1055-1103
(IUMJ page [html], arXiv version [pdf])
- R. Lenczewski, R. Sałapata, “Noncommutative Brownian motions associated with Kesten distributions and related Poisson processes”,
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 11 (2008), 351-375
(IDAQP page [pdf], arXiv version [pdf])
- L. Accardi, R. Lenczewski, R. Sałapata, “Decompositions of the free product of graphs”,
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10 (2007), 303-334
(IDAQP page [pdf], arXiv version [pdf])
- R. Lenczewski, “Decompositions of the free additive convolution”, J. Funct. Anal. 246 (2007), 330-365
(Elsevier page [html], arXiv version [pdf])
- R. Lenczewski, R. Sałapata, “Discrete interpolation between monotone probability and free probability”,
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9 (2006), 77-106
(IDAQP page [pdf], arXiv version [pdf])
- R. Lenczewski, “Reduction of free independence to tensor independence”,
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7 (2004), 337-360
(IDAQP page [pdf], arXiv version [pdf])
- R. Lenczewski, “Noncommutative extensions of the Fourier transform
and its logarithm”, Studia Math. 152 (2002), 69-101 (arXiv version [pdf])
- R. Lenczewski, “Unification of independence in quantum probability”, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 1 (1998), 383-405
(IDAQP page [html], arXiv version [pdf])
Other publications:
- R. Lenczewski, “On noncommutative independence”, in QP-PQ: Quantum Probability
and White Noise Analysis. Vol. XVIII. Quantum Probability and Infinite Dimensional Analysis,
Ed. M. Schurmann, U. Franz, World Scientific, 2005, 320-336.
- R. Lenczewski, “Filtered stochastic calculus”,
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 4 (2001), 309-346.
- R. Lenczewski, “Filtered random variables, bialgebras and convolutions”,
J. Math. Phys. 42 (2001), 5876-5903.
- R. Lenczewski, “Filtered probability”, XX International Seminar on Stability
Problems for Stochastic Models; Lublin-Nałęczów, 2001.
- U. Franz, R. Lenczewski, “Limit theorems for the
hierarchy of freeness”, Probab. Math. Stat. 19 (1999), 23-41.
- R. Lenczewski, “Tensor product construction of 2-freeness”,
in Quantum Probability, Ed. R. Alicki et al,
Banach Center Publications 43 (1998), 259-272.
- R. Lenczewski, “A noncommutative limit theorem for homogenous
correlations”, Studia Math. 129 (1998), 225-252.
- R. Lenczewski, “Quantum random walk for Uq(su(2))
and a new example of quantum noise”, J. Math. Phys. 37 (1996), 2260-2278.
- R. Lenczewski, “On certain states on free *-algebras and their
GNS representations”, J. Math. Phys. 36 (1995), 3836-3853.
- R. Lenczewski, “Quantum central limit theorems”, in
Symmetries in Science VIII, Ed. B. Gruber, Plenum, New York, 299-314 (1995).
- R. Lenczewski, “Addition of independent variables in quantum groups”,
Rev. Math. Phys. 6 (1994), 135-147.
- R. Lenczewski, “On sums of q-independent SUq(2) quantum
variables”, Commun. Math. Phys. 154 (1993), 127-134.
- R. Lenczewski, “A q-analog of the quantum central limit theorem
for SUq(2), q complex”, J. Math. Phys. 34 (1993),
480-489.
- R. Lenczewski, K. Podgórski, “A q-analog of the quantum central
limit theorem for SUq(2)”, J. Math. Phys. 33 (1992),
2768-2778.
- R. Lenczewski, “On certain submodules of the enveloping fields”,
in Symmetries in Science V, Ed. B. Gruber et al, Plenum Press,
New York, 447-451 (1991).
- B. Gruber, R. Lenczewski, M. Lorente, “On induced scalar product and
unitarization”, J. Math. Phys. 31 (1990), 587-593.
- R. Grimmer, R. Lenczewski, W. Schappacher, “Well-posedness of
hyperbolic equations with delay in the boundary conditions”, in
Semigroup Theory and Applications, Ed. Ph.Clement et al,
Marcel Dekker, New York, 215-230 (1989).
- R. Lenczewski, “Indecomposable modules of the Poincar\'{e} algebra
in an energy-cyclic angular momentum basis”, J. Math. Phys.
28 (1987), 1237-1242.
- B. Gruber, R. Lenczewski, “Finite-dimensional indecomposable
representations of the Poincare algebra”, in Symmetries in Science II,
Ed. B.Gruber et al, Plenum Press, New York, 185-196 (1986).
- R. Lenczewski, B. Gruber, “Indecomposable representations of the
Poincare algebra” J. Phys. A 19 (1986), 1-20.
- R. Lenczewski, B. Gruber, “Representations of the Lorentz algebra
on the space of its universal enveloping algebra”, Lecture Notes in
Phys. 261 (1986), 280-290.
- B. Gruber, R. Lenczewski, “Indecomposable representations of the
Lorentz algebra in an angular momentum basis”, J. Phys. A 16
(1983), 3703-3722.
Artykuł o punktacji czasopism:
- R. Lenczewski, “Dysproporcje między listami czasopism punktowanych” 2024
(link
[Word])
- R. Lenczewski, “Dysproporcje między listami czasopism punktowanych” 2024
(link
[Word])