dr hab. Roman Urban

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