Accepted
2023
Matrix-valued Schrödinger operators over finite adeles
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26 No. 3, Paper No. 2250031, (2023) 21 pp.
2022
On a diffusion on finite adeles and the Feynman-Kac integral
J. Math. Phys. 63 No. 12, Paper No. 122101, (2022) 18 pp.
with A. Jagiełło and P. Lisowski
Type-2 fuzzy sets and Newton's fuzzy potential in an algorithm of classification
objets of a conceptual space
J. Log. Lang. Inf. 31 No. 3 (2022), 389-408.
A note on Lévy subordinators in cones of fuzzy sets in Banach spaces
Math. Slovaca 72 No. 3 (2022), 787-796.
with R. Penney
Poison meausures on semi-direct products of infinite-dimensional Hilbert spaces
Electron. J. Differential Equations Vol. 2022 No.04 (2022), pp. 1-15.
2021
On interrelation between conceptual spaces, opinion dynamics, and eventology theory
in: Oleg Vorobyev (ed.),
Proc. of the XX Financial and Actuarial Mathematics and Eventology of Multivariate Statistics Conference and VI Eventology and Experience, and Chance and Hilbert's Sixth Problem Workshop, p. 50-59, Siberian Federal University Press, Krasnoyarsk, 2021.
Donsker's fuzzy invariance principle under Lindeberg condition
Math. Slovaca 71 No. 2 (2021), 439-454.
2020
Andriej Nikolajewicz Kołmogorow - Humanista
Wiadomości Matematyczne 56 No. 1 (2020), 89-102.
2019
with J. Schneider
Lévy subordinators in cones of fuzzy sets
J. Theoret. Probab. 32 No. 4 (2019), 1909-1924.
with H. Anisimowicz
A note on the Durda, Caron, and Buchanan word ambiguity
detection algorithm
Fund. Inform. 168 No. 1 (2019), 79-88.
with S. Mróz
A class of conceptual spaces consisting of
boundaries of infinite p-ary trees
J. Log. Lang. Inf. 28 No. 1 (2019), 73-95.
2018
Cybernetyka i nauki humanistyczne w ZSRR
Conversatoria Linguistica 12 (2018), 257-270.
Dlaczego Andriej N. Kołmogorow zajął się humanistyką?
Acta Universitatis Lodziensis. Folia Linguistica Rossica 16 No. 2 (2018), 101-112.
Wnioski z lektury ,,Semiotycznych posłań'' Andrieja N. Kołmogorowa
Socjolingwistyka 32, (2018), 287-295.
Kilka uwag o niektórych teoriach Witolda Mańczaka
Kwartalnik Językoznawczy 2016/1 (25) [wyd. 2018], 35-45.
with W. W. Koczkodaj
Axiomatization of inconsistency indicators for
pairwise comparison
Internat. J. Approx. Reason. 94, (2018), 18-29.
with J. Schneider
A
proof of Donsker's invariance principle based on support
functions of fuzzy random vectors
International
Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 26 No. 1 (2018), 27-42.
2017
with M. Grzelińska
A potential theory
approach to an algorithm of conceptual space partitioning
Cognitive Studies | Études cognitives 17, (2017).
2016
with R. Penney
Poisson
kernels on semi-direct products of abelian groups
Math.
Slovaca 66 No. 6 (2016), 1375-1386.
with R. Penney
Gaussian
type upper bound for the evolution kernels on nilpotent
meta-abelian groups
Positivity 20 No. 2
(2016), 257-281.
Szkic historii
lingwistyki matematycznej w Rosji i ZSRR, ze szczególnym
uwzględnieniem tłumaczenia maszynowego
LingVaria
21 No. 1 (2016), 249-267.
with R. Penney
Poisson
kernels on nilpotent 3-meta-abelia groups
Ann.
Mat. Pura Appl. 195 No. 2 (2016), 293-307.
2014
Equidistribution in the
dual group of S-adic integers
Czechoslovak Math.
J. 64 No. 4 (2014), 911-931.
with R. Penney
Estimates
for the derivatives of the Poisson kernel on nilpotent
meta-abelian groups
Potential Analysis 41
No. 1 (2014), 187-214.
An explicit formula for
the heat kernel of a left invariant operator
ALEA
Lat. Am. J. Probab. Math. Stat. 11 No. 1 (2014), 299-306.
2013
with R. Penney
The
evolution and Poisson kernels on nilpotent meta-abelian
groups
Studia Math. 219 No. 1 (2013),
69-96.
with R. Penney
Upper
bound for the heat kernel on higher-rank NA groups
J.
Lie Theory 23 No.3 (2013), 655-668.
2012
Markov processes on the adeles and Dedekind's zeta function
Statist.
Probab. Lett. 82, No. 8 (2012), 1583-1589.
with R. Penney
Estimates
for the Poisson kernel and the evolution kernel on the
Heisenberg group
J. Evol. Equ. 12, No. 2 (2012), 327-351.
2011
with R. Penney
An
upper bound for the Poisson kernel on higher rank NA
groups
Potential Analysis 35, No.4
(2011), 373-386.
On the factorization of
the Haar measure on finite Coxeter groups
Probab.
Math. Statist. 32, No.1 (2011), 141-148.
Equidistribution in the
d-dimensional a-adic solenoids
Unif. Distrib.
Theory 6, No.1 (2011), 21-31.
2010
Algebraic numbers and
density modulo 1, II
Unif. Distrib. Theory
5, No.1 (2010), 111-132
A note on density modulo
1 of certain sets of sums
Funct. Approx.
Comment. Math. 42, No.1 (2010), 29-35.
with R. Penney
Estimates
for the Poisson kernel on higher rank NA groups
Colloq.
Math. 118, No.1 (2010), 259-281.
2009
with J.
Zienkiewicz
Dimension free estimates for Riesz transforms
of some Schrödinger operators
Israel J. Math.
173 (2009), 157-176.
with D. Buraczewski, E.
Damek, Y. Guivarc'h and A. Hulanicki
Tail-homogeneity of
stationary measures for some multidimensional stochastic
recursions
Probab. Theory Related Fields
145, No.3-4 (2009), 385-420.
Multiplicatively
independent integers and dense modulo 1 sets of sums
Unif.
Distrib. Theory 4, No.1 (2009), 27-33.
2008
with J.
Zienkiewicz
Fractional time-dependent Schrödinger
equation on the Heisenberg group
Math. Z.
260, No.4 (2008), 931-948.
A survey of results on
density modulo 1 of double sequences containing algebraic
numbers
Acta Math. Univ. Ostrav. 16,
(2008), 31-43.
Algebraic numbers and
density modulo 1
J. Number Theory 128,
No.3 (2008), 645-661
Corrigendum: J. Number Theory
129, No.11 (2009), 2879-2881.
Sequences of algebraic
numbers and density modulo 1
Publ. Math.
Debrecen 72, No.1-2 (2008), 141-154.
2007
Sequences of algebraic
integers and density modulo 1
J. Theor. Nombres
Bordeaux 19, No. 3 (2007), 755-762
On density modulo 1 of
some expressions containing algebraic integers
Acta
Arith. 127, No.3 (2007), 217-229.
Corrigendum: Acta
Arith. 141, No.2 (2010), 209-210.
with J. Zienkiewicz
Weak
type (1,1) estimates for a class of discrete rough maximal
functions
Math. Res. Lett. 14, No.2
(2007), 227-237.
2006
with D. Buraczewski, T.
Martinez and J.L. Torrea
On the Riesz transform and
weighted inequalities associated with the ultraspherical
polynomials
J. Anal. Math. 98 (2006),
113-143
2005
with Y. Guivarc'h
Semigroup
actions on tori and stationary measures on projective
spaces
Studia Math. 171, No.1 (2005),
33-66
Corrigendum: Studia Math. 183, No.2
(2007), 195-196.
2004
Note on the
factorization of the Haar measure on finite Coxeter
groups
Probab. Math. Statist. 24, No.1
(2004), 173-180.
Estimates for the mixed
derivatives of the Green functions on homogeneous manifolds of
negative curvature
Electron. J. Differential
Equations Vol. 2004, No.145 (2004), 1-10.
Estimates for
derivatives of the Green functions on homogeneous manifolds of
negative curvature
Acta Math. Univ. Comen.
New Ser. 73, No.1 (2004), 43-53
2003
Estimates for
derivatives of the Green functions for the noncoercive
differential operators on homogeneous manifolds of negative
curvature, II
Electron. J. Differential
Equations Vol. 2003, No.86 (2003), 1-8.
Estimates for
derivatives of the Green functions for the noncoercive
differential operators on homogeneous manifolds of negative
curvature
Potential Analysis 19 No.4
(2003), 317-339.
2002
A remark on the Poisson
kernels on homogeneous manifolds of negative curvature
Probab.
Math. Statist. 22, No.2 (2002), 289-291
Estimates for the
derivatives of the Poisson kernels on homogeneous manifolds of
negative curvature
Math. Z. 240 No.4
(2002), 745-766.
with R. Penney
Unbounded
harmonic functions on homogeneous manifolds of negative
curvature
Colloq. Math. 91 No.1 (2002),
99-121.
2001
with E. Damek and A.
Hulanicki
Martin boundary for homogeneous riemannian
manifolds of negative curvature at the bottom of the
spectrum
Rev. Mat. Iberoamericana. 17
No.2 (2001), 257-293.
Estimates for the
Poisson kernels on homogeneous manifolds of negative curvature
and the boundary Harnack inequality in the noncoercive
case
Probab. Math. Statist. 21, No.1
(2001), 213-229.
Noncoercive differential
operators on homogeneous manifolds of negative curvature and
their Green functions
Colloq. Math. 88
No.1 (2001), 121-134.
1997
Some remarks on the random walk on finite
groups
Colloq. Math. 74 No.2 (1997),
287-298.
.