Roman Urban's papers

2024

1. with P. Lisowski
   On some dynamics in conceptual spaces
   J. Log. Lang. Inf. (2024) link to the article.

2. Feynman formulas for qp- and pq-quantization of some Vladimirov type time-dependent Hamiltonians on finite adeles
   Anal. Math. Phys. 14 No. 5, Paper No. 105, (2024) 38 pp.

3. The Vladimirov operator with variable coefficients on finite adeles and the Feynman formulas for the Schrödinger equation
   J. Math. Phys. 65 No. 4, Paper No. 042103, (2024) 20 pp.

   2023

4. Matrix-valued Schrödinger operators over finite adeles
   Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26 No. 3, Paper No. 2250031, (2023) 21 pp.

   2022

5. On a diffusion on finite adeles and the Feynman-Kac integral
   J. Math. Phys. 63 No. 12, Paper No. 122101, (2022) 18 pp.

6. 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.

7. A note on Lévy subordinators in cones of fuzzy sets in Banach spaces
   Math. Slovaca 72 No. 3 (2022), 787-796.

8. 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

9. 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.

10. Donsker's fuzzy invariance principle under Lindeberg condition
    Math. Slovaca 71 No. 2 (2021), 439-454.

    2020

11. Andriej Nikolajewicz Kołmogorow - Humanista
    Wiadomości Matematyczne 56 No. 1 (2020), 89-102.

    2019

12. with J. Schneider
    Lévy subordinators in cones of fuzzy sets
    J. Theoret. Probab. 32 No. 4 (2019), 1909-1924.

13. with H. Anisimowicz
    A note on the Durda, Caron, and Buchanan word ambiguity detection algorithm
    Fund. Inform. 168 No. 1 (2019), 79-88.

14. 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

15. Cybernetyka i nauki humanistyczne w ZSRR
    Conversatoria Linguistica 12 (2018), 257-270.

16. Dlaczego Andriej N. Kołmogorow zajął się humanistyką?
    Acta Universitatis Lodziensis. Folia Linguistica Rossica 16 No. 2 (2018), 101-112.

17. Wnioski z lektury ,,Semiotycznych posłań'' Andrieja N. Kołmogorowa
    Socjolingwistyka 32, (2018), 287-295.

18. Kilka uwag o niektórych teoriach Witolda Mańczaka
    Kwartalnik Językoznawczy 2016/1 (25) [wyd. 2018], 35-45.

19. with W. W. Koczkodaj
    Axiomatization of inconsistency indicators for pairwise comparison
    Internat. J. Approx. Reason. 94, (2018), 18-29.

20. 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

21. with M. Grzelińska
    A potential theory approach to an algorithm of conceptual space partitioning
    Cognitive Studies | Études cognitives 17, (2017).

    2016

22. with R. Penney
    Poisson kernels on semi-direct products of abelian groups
    Math. Slovaca 66 No. 6 (2016), 1375-1386.

23. with R. Penney
    Gaussian type upper bound for the evolution kernels on nilpotent meta-abelian groups
    Positivity 20 No. 2 (2016), 257-281.

24. Szkic historii lingwistyki matematycznej w Rosji i ZSRR, ze szczególnym uwzględnieniem tłumaczenia maszynowego
    LingVaria 21 No. 1 (2016), 249-267.

25. with R. Penney
    Poisson kernels on nilpotent 3-meta-abelia groups
    Ann. Mat. Pura Appl. 195 No. 2 (2016), 293-307.

    2014

26. Equidistribution in the dual group of S-adic integers
    Czechoslovak Math. J. 64 No. 4 (2014), 911-931.

27. with R. Penney
    Estimates for the derivatives of the Poisson kernel on nilpotent meta-abelian groups
    Potential Analysis 41 No. 1 (2014), 187-214.

28. 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

29. with R. Penney
    The evolution and Poisson kernels on nilpotent meta-abelian groups
    Studia Math. 219 No. 1 (2013), 69-96.

30. with R. Penney
    Upper bound for the heat kernel on higher-rank NA groups
    J. Lie Theory 23 No.3 (2013), 655-668.

    2012

31. Markov processes on the adeles and Dedekind's zeta function
    Statist. Probab. Lett. 82, No. 8 (2012), 1583-1589.

32. 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

33. with R. Penney
    An upper bound for the Poisson kernel on higher rank NA groups
    Potential Analysis 35, No.4 (2011), 373-386.

34. On the factorization of the Haar measure on finite Coxeter groups
    Probab. Math. Statist. 32, No.1 (2011), 141-148.

35. Equidistribution in the d-dimensional a-adic solenoids
    Unif. Distrib. Theory 6, No.1 (2011), 21-31.

    2010

36. Algebraic numbers and density modulo 1, II
    Unif. Distrib. Theory 5, No.1 (2010), 111-132

37. A note on density modulo 1 of certain sets of sums
    Funct. Approx. Comment. Math. 42, No.1 (2010), 29-35.

38. with R. Penney
    Estimates for the Poisson kernel on higher rank NA groups
    Colloq. Math. 118, No.1 (2010), 259-281.

    2009

39. with J. Zienkiewicz
    Dimension free estimates for Riesz transforms of some SchrĂśdinger operators
    Israel J. Math. 173 (2009), 157-176.

40. 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.

41. Multiplicatively independent integers and dense modulo 1 sets of sums
    Unif. Distrib. Theory 4, No.1 (2009), 27-33.

    2008

42. with J. Zienkiewicz
    Fractional time-dependent SchrĂśdinger equation on the Heisenberg group
    Math. Z. 260, No.4 (2008), 931-948.

43. A survey of results on density modulo 1 of double sequences containing algebraic numbers
    Acta Math. Univ. Ostrav. 16, (2008), 31-43.

44. 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.

45. Sequences of algebraic numbers and density modulo 1
    Publ. Math. Debrecen 72, No.1-2 (2008), 141-154.

    2007

46. Sequences of algebraic integers and density modulo 1
    J. Theor. Nombres Bordeaux 19, No. 3 (2007), 755-762

47. 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.

48. 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

49. 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

50. 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

51. Note on the factorization of the Haar measure on finite Coxeter groups
    Probab. Math. Statist. 24, No.1 (2004), 173-180.

52. 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.

53. 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

54. 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.

55. 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

56. A remark on the Poisson kernels on homogeneous manifolds of negative curvature
    Probab. Math. Statist. 22, No.2 (2002), 289-291

57. Estimates for the derivatives of the Poisson kernels on homogeneous manifolds of negative curvature
    Math. Z. 240 No.4 (2002), 745-766.

58. with R. Penney
    Unbounded harmonic functions on homogeneous manifolds of negative curvature
    Colloq. Math. 91 No.1 (2002), 99-121.

    2001

59. 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.

60. 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.

61. Noncoercive differential operators on homogeneous manifolds of negative curvature and their Green functions
    Colloq. Math. 88 No.1 (2001), 121-134.

    1997

62. Some remarks on the random walk on finite groups
    Colloq. Math. 74 No.2 (1997), 287-298.