Preprints

  1. Commuting probabilities of quasigroups, preprint.
    Preprint     Associated data file
  2. Distributive algebras, isoclinism, and invariant probabilities, preprint.
    Preprint
  3. Degree sum deficiency in finite groups, preprint (with D. MacHale and Á. Ní Shé).
    Preprint
  4. Groups with commuting probability 1/3, preprint (with D. MacHale).
    Preprint
  5. Finite rings with many idempotents, preprint (with D. MacHale).
    Preprint
  6. Odd order rings with many idempotents, preprint (with D. MacHale).
    Preprint
  7. Finite rings with many commuting pairs of elements, preprint (with D. MacHale and Á. Ní Shé).
    Preprint
  8. Contrasting the commuting probabilities of groups and rings, preprint (with D. MacHale).
    Preprint
  9. Isoclinism and weak isoclinism invariants, preprint.
    Preprint
  10. Polynomial product semigroups and ring commutativity, preprint (with Yu. Zelenyuk).
    Preprint
  11. Wiring switches to lightbulbs, preprint (with A.G. O'Farrell).
    Preprint

Books and course notes

  1. Codaigh agus Córais Dhinimiciúla Réadacha, Logic Press, 2006.
    Publisher's book webpage     Contents/Introduction
  2. Fractals and Real Dynamical Systems, Logic Press, 2006.
    Publisher's book webpage     Contents/Introduction
  3. Sobolev spaces: a short course, presented in Universidad de La Laguna, May 2000.
    Preprint

Papers: Algebra

  1. Rings with ideal centres, Sci. Math. Jpn., to appear (with D. MacHale).
    Preprint
  2. A characterization of commutator-forcing polynomials, Math. Proc. R. Ir. Acad., to appear (with D. MacHale).
    Preprint
  3. Finite rings with large anticommuting probability, Appl. Math. Inf. Sci. 8 (2014), 13–25 (with D. MacHale and Yu. Zelenyuk).
    Preprint     Reprint: Journal site
  4. Minimal order semigroups with specified commuting probability, Semigroup Forum (2013).
    Preprint     Reprint: Journal site
  5. Conjugate deficiency in finite groups, Bull. Irish Math. Soc. 71 (2013), 13–19 (with D. MacHale).
    Reprint: Journal site
  6. Variations on a theme: rings satisfying \(x^3=x\) are commutative, Amer. Math. Monthly 120 (2013), 430–440 (with D. MacHale).
    Preprint
  7. Polynomials that force a unital ring to be commutative, Results Math. 64 (2013) 59–65 (with D. MacHale).
    Preprint     Reprint: Journal site
  8. Z-polynomials and ring commutativity, Math. Proc. R. Ir. Acad. 112 (2012), 51–57 (with D. MacHale).
    Preprint
  9. Small rings without ideal centres, Bull. Irish Math. Soc. 70 (2012), 41–49 (with D. MacHale).
    Reprint: Journal site
  10. Powers of commutators and anticommutators, ISRN Algebra, vol. 2012, Article ID 302524 (2012), 1–6 (with D. MacHale).
    Reprint: Journal site
  11. Centrifiers and ring commutativity, J. Math. Sci. Adv. Appl. 15 (2012),139–161 (with D. MacHale).
    Preprint
  12. Noncommutative anticommutative rings, Bull. Irish Math. Soc. 18 (1987), 55–57 (with D. MacHale).
    Reprint
  13. Dividing an angle into equal parts, Math. Gaz. 69 (1985), 9–12 (with D. MacHale).
    Preprint
  14. A note on the ring axioms, Math. Gaz. 68 (1984), 215–216.
    Preprint

Papers: Analysis

  1. Iterated log-scale Orlicz-Hardy inequalities, Ann. Acad. Sci. Fenn. Math. 38 (2013), 757–770 (with R. Hurri-Syrjänen).
    Reprint: Journal site    
  2. Best constants for metric space inversion inequalities, Cent. Eur. J. Math. 11 (2013), 865–875 (with S. Hamza).
    Preprint      Reprint: Journal site
  3. Distinguishing properties of weak slice conditions II, Int. J. Pure Appl. Math. 71 (2011), 83–98 (with A. Diatta and A. Stanoyevitch).
    Reprint: Journal site
  4. Nonpositive curvature and complex analysis, Contemporary Math. 525 (2010), 43–83.
    Preprint     Review: MR 2683219 (2012j:53043)
  5. Univalent interpolation in Besov spaces and superposition into Bergman spaces, Potential Anal. 29 (2008), 1–16 (with D. Vukotic).
    Preprint     Review: MR 2421491 (2009k:47218)
  6. Metric space inversions, quasihyperbolic distance, and uniform spaces, Indiana U. Math. J. 57 (2008), 837–890 (with D. Herron and X. Xie).
    Preprint     Review: MR 2414336 (2009c:30112)
  7. Uniform domains and weak slice spaces, Conform. Geom. Dyn. 11 (2007), 191–206 (with D. Herron).
    Preprint     Review: MR 2346216 (2008j:30027)
  8. Uniform domains and capacity, Israel J. Math., 158 (2007), 129–157 (with D. Herron).
    Preprint     Review: MR 2342461 (2008j:31003)
  9. Ends of metric measure spaces and Sobolev inequalities, Math. Z. 252 (2006), 275–285 (with P. Koskela).
    Preprint     Review: MR 2207797 (2006m:53058)
  10. Superposition operators and the order and type of entire functions, Contemp. Math. 393 (2006), 51–58 (with D. Vukotic).
    Preprint     Review: MR 2198371 (2006m:47112)
  11. Admissable measures in one dimension, Proc. Amer. Math. Soc. 134 (2006), 703–705 (with J. Björn and S. Keith).
    Reprint: Journal site     Review: MR 2180887 (2006k:26021)
  12. Sphericalization and flattening, Conform. Geom. Dyn. 9 (2005), 76–101 (with Z. Balogh).
    Reprint: Journal site     Review: MR 2179368 (2006k:30046)
  13. Relative solidity for spaces of holomorphic functions, Math. Proc. R. Ir. Acad. 104A (2004), 83–97.
    Preprint     Review: MR 2139513 (2005m:30053)
  14. Orlicz-Hardy inequalities, Illinois J. Math. 48 (2004), 787–802 (with P. Koskela).
    Reprint: Project Euclid     Review: MR 2114252 (2005k:26050)
  15. Quasiconformal images of Hölder domains, Ann. Acad. Sci. Fenn. Math. 29 (2004), 21–42.
    Reprint: Journal site     Review: MR 2041697 (2004m:30030)
  16. Slice conditions and their applications, Rep. Univ. Jyväskylä Dept. Math. Stat. 92 (2003), 63–76.
    Preprint     Review: MR 2058111 (2005c:30048)
  17. Distinguishing properties of weak slice conditions, Conform. Geom. Dyn. 7 (2003), 49–75 (with A. Stanoyevitch).
    Reprint: Journal site     Review: MR 1992037 (2004f:30014)
  18. Superposition operators on Dirichlet type spaces, Report. Univ. Jyväskylä Dept. Math. Stat. 83 (2001), 41–61 (with J.L. Fernández and D. Vukotic).
    Reprint: Journal site     Review: MR 1886612 (2002m:30066)
  19. Weak slice conditions and Hölder imbeddings, J. London Math. Soc., 66 (2001), 690–706 (with A. Stanoyevitch).
    Preprint     Review: MR 1865557 (2002h:46051)
  20. Weak slice conditions, product domains, and quasiconformal mappings, Rev. Mat. Iberoam., 17 (2001), 1–37 (with A. Stanoyevitch).
    Preprint     Reprint: http://dx.doi.org/10.4171/RMI/306     Review: MR 1900897 (2003b:30025)
  21. Doubling for general sets, Math. Scand. 88 (2001), 229–245 (with P. MacManus and B. Hanson).
    Reprint: Journal site      Review: MR 1839574 (2002k:26004)
  22. Mixed norms and analytic function spaces, Proc. R. Ir. Acad. 100A (2000), 1–9.
    Preprint     Review: MR 1882194 (2002m:46040)
  23. Singular measures and the key of G, Publ. Mat. 44 (2000), 483–489 (with P. MacManus).
    Reprint: Journal site     Review: MR 1800819 (2001h:60069)
  24. Inequalities of John-Nirenberg type in doubling spaces, J. Analyse Math. 79 (1999), 215–240.
    Preprint     Review: MR 1749313 (2001f:46059)
  25. Is the maximal function of a Lipschitz function continuous?, Ann. Acad. Sci. Fenn. 24 (1999), 519–528.
    Reprint: Journal site     Review: MR 1724375 (2001e:42025)
  26. Weighted Trudinger-type inequalities, Indiana Univ. Math. J. 48 (1999), 85–114 (with J. O'Shea).
    Reprint: http://dx.doi.org/10.1512/iumj.1999.48.1592     Review: MR 1722194 (2001a:46031)
  27. On the fusion problem for degenerate elliptic equations II, Comment. Math. Univ. Carolin. 40 (1999), 1–6 (with P. Koskela).
    Reprint: Journal site     Review: MR 1715198 (2000j:435078)
  28. Bounded and compact multipliers between Bergman and Hardy spaces, Integr. Equ. Oper. Theory 35 (1999), 1–19 (with M.S. Ramanujan and D. Vukotic).
    Preprint     Review: MR 1707927 (2000h:46025)
  29. Fractional integration, differentiation, and weighted Bergman spaces, Math. Proc. Cambridge Phil. Soc. 126 (1999), 369-385 (with P. Koskela and D. Vukotic).
    Preprint     Review: MR 1670257 (2000m:46050)
  30. Strong doubling conditions, Math. Ineq. Appl. 1 (1998), 533–542.
    Preprint     Review: MR 1646682 (99g:28007)
  31. New Poincaré inequalities from old, Ann. Acad. Sci. Fenn. 23 (1998), 251–260 (with P. Koskela).
    Reprint: Journal site     Review: MR 1601883 (99a:46057)
  32. Sequences of reverse Minkowski type, Proc. R. Ir. Acad. 96A (1996), 147–157.
    Preprint     Review: MR 1641190 (2000f:40005)
  33. Boman equals John, Proc. XVI Rolf Nevanlinna Colloquium (1996), 91–99 (with P. Koskela and G. Lu).
    Preprint     Review: MR 1427074 (98m:43013)
  34. Criteria for imbeddings of Sobolev-Poincaré type , Internat. Math. Res. Not. 18 (1996), 881–902 (with P. Koskela).
    Reprint: http://dx.doi.org/10.1155/S1073792896000542     Review: MR 1420554 (98g:46041)
  35. Space-filling curves and related functions, Bull. Irish Math. Soc. 36 (1996), 9–18.
    Preprint     Review: MR 1387032 (97b:26004)
  36. Pointwise multipliers for reverse Hölder spaces II, Proc. R. Ir. Acad. 95A (1995), 193–204.
    Preprint     Review: MR 1660378 (99k:42039)
  37. Subelliptic Poincaré inequalities: the case \(p<1\), Publ. Mat. 39 (1995), 313–334 (with P. Koskela and G. Lu).
    Reprint: Journal site     Review: MR 1370889 (97d:35028)
  38. Sobolev-Poincaré implies John, Math. Research Letters 2 (1995), 577–594 (with P. Koskela).
    PDF preprint     Review: MR 1359964 (96i:46035)
  39. Sobolev-Poincaré inequalities for \(p<1\), Indiana Univ. Math. J. 43 (1994), 221–240 (with P. Koskela).
    Preprint     Review: MR 1275460 (95c:46044)
  40. Pointwise multipliers for reverse Hölder spaces, Studia Math. 109 (1994), 23–39.
    Reprint: Polish Virtual Mathematical Library     Review: MR 1267709 (95d:42023)
  41. Summation conditions on weights, Michigan Math. J. 40 (1993), 153–170.
    Reprint: http://dx.doi.org/10.1307/mmj/1029004679 (Project Euclid)     Review: MR 1214060 (94d:42021)
  42. Estimates for operator norms on weighted spaces and reverse Jensen inequalities, Trans. Amer. Math. Soc. 340 (1993), 253–272.
    Reprint: http://dx.doi.org/10.2307/2154555     Review: MR 1124164 (94a:42011)

Papers: Geometry

  1. The boundary at infinity of a rough CAT(0) space, Anal. Geom. Metric Spaces, to appear (with K. Falk).
    Preprint
  2. Natural maps between CAT(0) boundaries, New York J. Math. 19 (2013), 13–22 (with K. Falk).
    Reprint: Journal site
  3. The \(n\)-point condition and rough CAT(0), Anal. Geom. Metric Spaces 1 (2012), 58-68 (with B. Hanson).
    Reprint: Journal site
  4. Rough CAT(0) spaces, Bull. Math. Soc. Sci. Math. Roumanie 55 (103) (2012), 3–33 (with K. Falk).
    Reprint: Journal site
  5. The spherical boundary and volume growth, ISRN Geometry, vol. 2012, Art. ID 484312 (2012), 1–13 (with S. Kokkendorff).
    Reprint: Journal site
  6. On Ptolemaic metric simplicial complexes, Math. Proc. Cambridge Phil. Soc. 149 (2010), 93–104 (with J. McDougall and D.J. Wraith).
    Preprint     Review: MR 2651579 (2011j:53066)
  7. Ptolemaic spaces and CAT(0), Glasgow Math. J. 51 (2009), 301–314 (with K. Falk and D.J. Wraith).
    Preprint     Review: MR 2500753 (2010e:53070)
  8. Comparing the Floyd and ideal boundaries of a metric space, Trans. Amer. Math. Soc. 361 (2009), 715–734 (with S.L. Kokkendorff).
    Preprint     Review: MR 2452822 (2009j:54036)
  9. Detours and Gromov hyperbolicity, Int. J. Pure Appl. Math. 47 (2008), 313–323 (with S.L. Kokkendorff).
    Reprint: Journal site
  10. Warped products and conformal boundaries of CAT(0) spaces J. Geom. Anal. 18 (2008), 704–719 (with S.L. Kokkendorff).
    Preprint     Review: MR 2420760 (2009h:53083)
  11. Geometric characterizations of Gromov hyperbolicity, Invent. Math. 153 (2003), 261–301 (with Z. Balogh).
    Preprint     Review: MR 1992014 (2004i:30042)