LIST OF PUBLICATIONS of Zoltán Buczolich
Papers submitted for publication are here.
Z. Buczolich, On universal functions and series, Acta Math. Hungar. {\bf 49} (1987), no.~3-4, 403--414; MR 88k:42011
Z. Buczolich, For every continuous $f$ there is an absolutely continuous $g$ such that $[f=g]$ is not bilaterally strongly porous, Proc. Amer. Math. Soc. {\bf 100} (1987), no.~3, 485--488; MR 88i:26025
Z. Buczolich, An existence theorem for higher Peano derivatives in ${\bf R}\sp m$, Real Anal. Exchange {\bf 13} (1987/88), no.~1, 245--252; MR 89c:26018
Z. Buczolich, Nearly upper semicontinuous gauge functions in ${\bf R}\sp m$, Real Anal. Exchange {\bf 13} (1987/88), no.~2, 436--440; MR 89f:26013
Z. Buczolich, Continuous functions with everywhere infinite variation with respect to sequences, Proc. Amer. Math. Soc. {\bf 103} (1988), no.~2, 497--502; MR 89j:26005
Z. Buczolich, Sets of convexity of continuous functions, Acta Math. Hungar. {\bf 52} (1988), no.~3-4, 291--303; MR 90c:26036
Z. Buczolich, Every set of positive measure has a porous subset with difference set containing an interval, Real Anal. Exchange {\bf 14} (1988/89), no.~2, 501--505; MR 90d:28002
Z. Buczolich and G. J. Sz\'ekely, A characterization of the uniform distribution via maximum likelihood estimation of its location parameter, in {\it Extreme value theory (Oberwolfach, 1987)}, 125--131, Lecture Notes in Statist., 51, Springer, New Y rk, 1989; MR 90g:62023
Z. Buczolich, Ramsey type theorems for real functions, Mathematika {\bf 36} (1989), no.~1, 131--141; MR 90h:26012
Z. Buczolich, Functions with finite intersections with analytic functions, Proc. Roy. Soc. Edinburgh Sect. A {\bf 112} (1989), no.~3-4, 271--275; MR 90i:26031
Z. Buczolich, Second Peano derivatives are not extendable, Real Anal. Exchange {\bf 14} (1988/89), no.~2, 423--428; MR 90j:26004 Preprint: dvi or ps
Z. Buczolich, Functions with all singular sets of Hausdorff dimension bigger than one, Real Anal. Exchange {\bf 15} (1989/90), no.~1, 299--306; MR 91c:26015
Z. Buczolich, Henstock integrable functions are Lebesgue integrable on a portion, Proc. Amer. Math. Soc. {\bf 111} (1991), no.~1, 127--129; MR 91d:26011
Z. Buczolich and G. J. Sz\'ekely, When is a weighted average of ordered sample elements a maximum likelihood estimator of the location parameter?, Adv. in Appl. Math. {\bf 10} (1989), no.~4, 439--456; MR 91e:62029
Z. Buczolich and K. Ostaszewski, The Hausdorff dimension of graphs of density continuous functions, Proc. Amer. Math. Soc. {\bf 112} (1991), no.~4, 1037--1043; MR 91j:28008
Z. Buczolich, Convexity and symmetric derivates of measurable functions, Real Anal. Exchange {\bf 16} (1990/91), no.~1, 187--196; MR 92a:26007
Z. Buczolich, Density points and bi-Lipschitz functions in ${\bf R}\sp m$, Proc. Amer. Math. Soc. {\bf 116} (1992), no.~1, 53--59; MR 92k:26027 Preprint: dvi or ps
Z. Buczolich and M. Laczkovich, Concentrated Borel measures, Acta Math. Hungar. {\bf 57} (1991), no.~3-4, 349--362; MR 92k:28002
Z. Buczolich, A general Riemann complete integral in the plane, Acta Math. Hungar. {\bf 57} (1991), no.~3-4, 315--323; MR 93a:26008
Z. Buczolich, Cantor type sets of positive measure and Lipschitz mappings, Real Anal. Exchange {\bf 17} (1991/92), no.~2, 702--705; MR 93d:28004
A. M. Bruckner and Z. Buczolich, Attractive properties via generalized derivatives of continuous functions, Czechoslovak Math. J. {\bf 42(117)} (1992), no.~2, 271--278; MR 93h:26004 Preprint: dvi or ps
Z. Buczolich, A $v$-integrable function which is not Lebesgue integrable on any portion of the unit square, Acta Math. Hungar. {\bf 59} (1992), no.~3-4, 383--393; MR 93h:28016
Z. Buczolich, The $n$-dimensional gradient has the $1$-dimensional Denjoy-Clarkson property, Real Anal. Exchange {\bf 18} (1992/93), no.~1, 221--224; MR 94b:26012
Z. Buczolich, M. J. Evans and P. D. Humke, Approximate high order smoothness, Acta Math. Hungar. {\bf 61} (1993), no.~3-4, 369--388; MR 94e:26009
Z. Buczolich, The $g$-integral is not rotation invariant, Real Anal. Exchange {\bf 18} (1992/93), no.~2, 437--447; MR 94e:26023
Z. Buczolich, No $b$-concentrated measures with $b<1.01$, Real Anal. Exchange {\bf 19} (1993/94), no.~2, 612--615; MR 95g:28006
Z. Buczolich and K. Ostaszewski, The Hausdorff dimension of graphs of density continuous functions. II, Proc. Amer. Math. Soc. {\bf 123} (1995), no.~6, 1821--1825; MR 95g:28012
Z. Buczolich, Product sets in the plane, sets of the form $A+B$ on the real line and Hausdorff measures, Acta Math. Hungar. {\bf 65} (1994), no.~2, 107--113; MR 95g:28016
Z. Buczolich, Level sets of functions $f(x,y)$ with nonvanishing gradient, J. Math. Anal. Appl. {\bf 185} (1994), no.~1, 27--35; MR 95h:58013
Z. Buczolich, Approximate continuity points of derivatives of functions of several variables, Acta Math. Hungar. {\bf 67} (1995), no.~3, 229--235; MR 96b:26015
Z. Buczolich, Characterization of upper semicontinuously integrable functions, J. Austral. Math. Soc. Ser. A {\bf 59} (1995), no.~2, 244--254; MR 96f:26008
Z. Buczolich, Unions of products of independent sets, Mathematika {\bf 42} (1995), no.~1, 25--29; MR 96g:28007 Preprint: dvi or ps
M. Balcerzak, Z. Buczolich and M. Laczkovich, Lipschitz differences and Lipschitz functions, Colloq. Math. {\bf 72} (1997), no.~2, 319--324; MR 97k:26002 Preprint: dvi or ps
Z. Buczolich and C. E. Weil, Extending Peano differentiable functions, Atti Sem. Mat. Fis. Univ. Modena {\bf 44} (1996), no.~2, 323--330; MR 98b:26002
Z. Buczolich, Another note on the gradient problem of C. E. Weil, Real Anal. Exchange {\bf 22} (1996/97), no.~2, 775--784; MR 98g:26012
Z. Buczolich, Arithmetic averages of rotations of measurable functions, Ergodic Theory Dynam. Systems {\bf 16} (1996), no.~6, 1185--1196; MR 98g:28018
Z. Buczolich and W. F. Pfeffer, Variations of additive functions, Czechoslovak Math. J. {\bf 47(122)} (1997), no.~3, 525--555; MR 98h:26017 Preprint: dvi or ps
Z. Buczolich, U. B. Darji and R. J. O'Malley, Irrational rotations and differentiability, Acta Math. Hungar. {\bf 78} (1998), no.~4, 305--313; MR 99b:26005
Z. Buczolich, Functions of two variables with large tangent plane sets, J. Math. Anal. Appl. {\bf 220} (1998), no.~2, 562--570; MR 99b:26017 Preprint: dvi or ps
Z. Buczolich, Lipschitz images with fractal boundaries and their small surface wrapping, Proc. Amer. Math. Soc. {\bf 126} (1998), no.~12, 3589--3595; MR 99b:28007 Preprint: dvi or ps
Z. Buczolich and W. F. Pfeffer, On absolute continuity, J. Math. Anal. Appl. {\bf 222} (1998), no.~1, 64--78; CNO CMP 1 623 859 Preprint: dvi or ps
Z. Buczolich and W. F. Pfeffer, When absolutely continuous implies $\sigma$-finite, Acad. Roy. Belg. Bull. Cl. Sci. (6) {\bf 8} (1997), no.~1-6, 155--160; CNO CMP 1 625 113
Z. Buczolich, BV-Sets, Functions and Integrals, Acta Univ. Carolinae, {\bf 39} (1998), (1-2), 99-104.
Z. Buczolich, J-P. Kahane, R. D. Mauldin, Sur les s\'eries de translat\'ees de fonctions positives, C. R. Acad. Sci. Paris, t. 329, S\'erie I, p. 261-264, 1999. Preprint: dvi or ps
Z. Buczolich, Ergodic averages and free {\bf Z}$_2$ actions, Fund. Math. 160 (1999) 247-254. Preprint: dvi or ps
Z. Buczolich and C. E. Weil, The Non-coincidence of Ordinary and Peano Derivatives, Math. Boh. 124 (1999) No. 4, 381-399. Preprint: dvi or ps
Z. Buczolich, T. De Pauw, and W. F. Pfeffer, Multipliers for generalized Riemann Integrals, C. R. Math. Acad. Sci. Soc. R. Can., Vol. 21 (4), (1999) 139-145. Preprint: dvi or ps
Z. Buczolich, T. De Pauw-val and W. Pfeffer, Charges, BV Functions, and Multipliers for Generalized Riemann Integrals, Indiana Univ. Math. J. Vol. 48, No. 4 (1999), 1471-1511. Preprint: dvi or ps
Z. Buczolich, Lipeomorphisms, sets of bounded variation and integrals, Acta Math. Hung., 87(3), (2000), 243-265. Preprint (new version since 10.10/99): dvi or ps
K. M. Brucks and Z. Buczolich, Trajectory of the turning point is dense for a co-$sigma$-porous set of tent maps, Fund. Math. 165 (2000), 95-123. Preprint : dvi or ps
K. M. Brucks and Z. Buczolich, Universality in inverse limit spaces of the logistic famliy occurs with positive measure, Atti. Sem. Univ. Modena, {\bf 48} (2000), no. 2, 335-353. Preprint: dvi or ps
Z. Buczolich and A. Olevskii, Spectral boundary of complemented invariant subspaces in $L^{p}({\bf R})$, Proc. Roy. Soc. Edinburgh, Sect. A, {\bf 131} (2001), no. 4, 785-798. Preprint server of Max Planck Institute, Bonn.
Z. Buczolich and D. Mauldin, On the convergence of $\sum_{n=1}^{\infty}f(nx)$ for measurable functions, Mathematika, {\bf 46} (1999), no. 2, 337-341. Preprint: dvi or ps
Z. Buczolich and J. Nagy, H\"older spectrum of typical monotone continuous functions, Real Anal. Exchange, {\bf 26} (2000/01), no. 1, 133-156. Preprint: dvi or ps
Z. Buczolich, J-P. Kahane and D. Mauldin, On series of translates of positive functions, Acta Math. Hungar., {\bf 93(3)} (2001), 171-188. Preprint: ps
Z. Buczolich, Tensor products of AC* charges and AC Radon measures are not always AC* charges, J. Math. Anal. Appl. {\bf 259} (2001), no. 2, 377-385. Preprint: dvi or ps
Z. Buczolich, When tensor products of AC* charges and Radon measures are AC* charges, Atti Sem. Mat. Fis. Univ. Modena., IL, (2001) 411-454. Preprint: ps
Z. Buczolich and D. Mauldin, On series of translates of positive functions II., Indag. Mathem., N. S., {\bf 12} (3), (2001), 317-327. Preprint: ps
Z. Buczolich, Micro Tangent Sets of Continuous Functions, Math. Bohem. 128 (2003), no. 2, 147--167. Preprint: pdf or ps
Z. Buczolich, Category of density points of fat Cantor sets, Real Anal. Exchange 29 (2003/04), no. 1, 497--502.Preprint: pdf or ps
Z. Buczolich and C. E. Weil, Infinite Peano Derivatives, extensions, and the Baire one property, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 52 (2004), no. 1, 117--149 (2005): pdf or ps .
I. Assani, Z. Buczolich and D. Mauldin, An L^1 Counting problem in Ergodic Theory, J. Anal. Math. 95 (2005), 221--241. Preprint : pdf or ps
I. Assani, Z. Buczolich and D. Mauldin, Counting and convergence in Ergodic Theory, 32nd Winter School on Abstract Analysis. Acta Univ. Carolin. Math. Phys. 45 (2004), no. 2, 5--21.. Preprint: pdf or ps
Z. Buczolich and U. B. Darji, Pseudoarcs, Pseudocircles, Lakes of Wada and Generic Maps on S^2, Topology Appl. 150 (2005), no. 1-3, 223--254.. Preprint: pdf or ps
Z. Buczolich, Solution to the gradient problem of C. E. Weil, Rev. Mat. Iberoamericana, 21 (2005) No. 3., 889-910. Preprint: pdf or ps
Z. Buczolich and A. Máthé, Where are typical C^1 functions one-to-one?, Math. Bohem. 131 (2006), no. 3, 291--303. pdf or ps.
Z. Buczolich and D. Mauldin, Concepts behind divergent ergodic averages along the squares, Ergodic Theory and Related Fields, American Mathematical Society, Contemporary Mathematics Vol. 430, (2007) 41-56. pdf.
Z. Buczolich and Cs.
Ráti, Micro Tangent sets of typical continuous
functions, Atti. Semin. Mat. Fis. Univ. Modena Reggio Emilia,
54 (2006), 135-136, Preprint: pdf.
I. Assani and Z. Buczolich, The $(L^{1},L^{1})$ bilinear Hardy-Littlewood function and F\"urstenberg averages, Rev. Mat. Iberoamericana Volume 26, Number 3 (2010), 861-890, Preprint: pdf.
Z. Buczolich and D.
Mauldin, Divergent Square Averages, Ann. of Math. (2) 171 (2010),
pp.
1479-1530 Preprint: pdf.
I. Assani and Z.
Buczolich, The (Lp, Lq) bilinear Hardy-Littlewood function for
the tail.
ISRAEL JOURNAL OF MATHEMATICS 179:(1) pp. 173-187. (2010), Preprint: pdf.
Buczolich Zoltán, Seuret Stéphane
Typical Borel measures on [0, 1]d satisfy a multifractal formalism.
NONLINEARITY
23:(11) pp. 2905-2911. (2010),
Dokumentum a kiadónál
Preprint: pdf.
Z. Buczolich,
Non-$L^{1}$ functions with rotation sets of Hausdorff dimension one, ACTA MATHEMATICA HUNGARICA 126:(1-2) pp. 23-50. (2010)
DOI 10.1007/s10474-009-8204-0, 2009, to appear, Preprint: pdf.
Official link:
http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s10474-009-8204-0
Z. Buczolich, Occupation measure and level sets of the Weierstrass-Cellerier function. Recent developments in fractals and related fields, 3–18, Appl. Numer. Harmon. Anal., Birkhäuser Boston, Inc., Boston, MA, 2010. Preprint: pdf.
Z. Buczolich and S. Seuret, Singularity spectrum of generic $\alpha$-H\"older regular functions after time subordination, Journal of Fourier Analysis and Applications, 2011, Volume 17, Number 3, Pages 457-485. Preprint: pdf.
Buczolich, Zoltán; Seuret, Stéphane Multifractal spectrum and generic properties of functions monotone in several variables. J. Math. Anal. Appl. 382 (2011), no. 1, 110–126. Preprint: pdf
Balka, Richárd; Buczolich, Zoltán; Elekes, Márton Topological Hausdorff dimension and level sets of generic continuous functions on fractals. Chaos Solitons Fractals 45 (2012), no. 12, 1579–1589. Preprint: pdf arXiv
Brémont, Julien; Buczolich, Zoltán Maximizing points and coboundaries for an irrational rotation on a circle. Ergodic Theory Dynam. Systems 33 (2013), no. 1, 24–48. Preprint: pdf
Z. Buczolich, Averages along the squares on the torus. Ergodic theory and dynamical systems, 67–79, De Gruyter Proc. Math., De Gruyter, Berlin, 2014. Preprint: pdf.
R. Balka, Z. Buczolich and M.
Elekes, A new fractal dimension: The topological Hausdorff dimension.
Adv. Math. 274 (2015), 881–927.
Preprint: pdf,
arXiv
Z. Buczolich and S. Seuret, Measures
and functions with prescribed homogeneous multifractal spectrum, J.
Fractal Geom. 1 (2014), no. 3, 295–333.
Preprint: pdf.
Z. Buczolich and S. Seuret,
Homogeneous multifractal measures with disjoint
spectrum and monoh\"older monotone functions, Real Anal. Exchange
40 (2014/15), no. 2, 277–289. Preprint: pdf
Z. Buczolich and G. Keszthelyi, Convergence of ergodic averages for many group rotations, Ergodic Theory Dynam. Systems 36 (2016), no. 7, 2107–2120. Preprint: pdf
Z. Buczolich, Upper Minkowski dimension estimates for convex restrictions, Acta Math. Hungar., 152 (1) (2017), 84–108 Preprint: pdf
Z. Buczolich, Monotone and convex restrictions of continuous functions, J. Math. Anal. Appl. 452 (2017), no. 1, 552–567. Preprint: pdf
Buczolich, Zoltán ; Keszthelyi, Gabriella . Equi-topological entropy curves for skew tent maps in the square. Math. Slovaca 67 (2017), no. 6, 1577--1594. Preprint: pdf
Buczolich, Zoltán . Multifractal properties of convex hulls of typical continuous functions. Recent developments in fractals and related fields, 71--86, Trends Math., Birkhäuser/Springer, Cham, 2017. Preprint: pdf
Buczolich, Z. ; Maga, B. ; Vértesy, G. On series of translates of positive functions. III. Anal. Math. 44 (2018), no. 2, 185--205. Preprint: pdf
Buczolich, Zoltán ; Seuret, Stéphane . Multifractal properties of typical convex functions. Monatsh. Math. 187 (2018), no. 1, 59--78. Preprint: pdf
Buczolich, Zoltán ; Hanson, Bruce ; Maga, Balázs ; Vértesy, Gáspár . Random constructions for translates of non-negative functions. J. Math. Anal. Appl. 468 (2018), no. 1, 491--505. Preprint: pdf
Buczolich, Zoltán . Ergodic averages with prime divisor weights in L1. Ergodic Theory Dynam. Systems 39 (2019), no. 4, 889--897. Preprint: pdf
Buczolich, Z. ; Hanson, B. ; Maga, B. ; Vértesy, G. Type 1 and 2 sets for series of translates of functions. Acta Math. Hungar. 158 (2019), no. 2, 271--293. Preprint: pdf
Buczolich, Zoltán ; Hanson, Bruce ; Rmoutil, Martin ; Zürcher, Thomas . On sets where lipf is finite. Studia Math. 249 (2019), no. 1, 33--58. Preprint: pdf
Buczolich, Zoltán ; Hanson, Bruce ; Maga, Balázs ; Vértesy, Gáspár . Characterization of lip sets. J. Math. Anal. Appl. 489 (2020), no. 2, 124175, 11 pp. Preprint: pdf
Buczolich, Zoltán ; Hanson, Bruce ; Maga, Balázs ; Vértesy, Gáspár . Lipschitz one sets modulo sets of measure zero. Math. Slovaca 70 (2020), no. 3, 567--584. Preprint: pdf
Buczolich, Zoltán ; Keszthelyi, Gabriella . Isentropes and Lyapunov exponents. Discrete Contin. Dyn. Syst. 40 (2020), no. 4, 1989--2009. Preprint: pdf
Buczolich, Zoltán ; Maga, Balázs ; Moore, Ryo . Generic Birkhoff spectra. Discrete Contin. Dyn. Syst. 40 (2020), no. 12, 6649--6679. Preprint: pdf
Bayart, Frédéric ; Buczolich, Zoltán ; Heurteaux, Yanick . Fast and slow points of Birkhoff sums. Ergodic Theory Dynam. Systems 40 (2020), no. 12, 3236--3256. Preprint: pdf
Buczolich, Zoltán ; Eisner, Tanja . Divergence of weighted square averages in L1. Adv. Math. 384 (2021), Paper No. 107727, 19 pp. Preprint: pdf
Buczolich, Zoltán ; Hanson, Bruce ; Maga, Balázs ; Vértesy, Gáspár . Big and little Lipschitz one sets. Eur. J. Math. 7 (2021), no. 2, 464--488. Preprint: pdf
Buczolich, Zoltán ; Järvenpää, Esa ; Järvenpää, Maarit ; Keleti, Tamás ; Pöyhtäri, Tuomas . Fractal percolation is unrectifiable. Adv. Math. 390 (2021), Paper No. 107906, 61 pp. Preprint: pdf
OTHER PUBLICATIONS, TALKS PUBLISHED, ETC.
Restriction and Intersection Theorems in Real Analysis, Real Anal. Exchange, Vol. 15 No. 1, 1989-90, 26-29. (This is an English abstract of my Ph. D. Thesis.) Preprint: dvi or ps
Generalized integrals and related topics, Real Anal. Exchange, Vol. 23 No. 1, 1997-98, 27-36. (This is an English Abstract of my Habilitation Thesis.) Preprint: dvi or ps
$\sum f(nx)$ konvergenciájáról, (In Hungarian. Talk given at the Hungarian Academy of Sciences on the occasion of the 75th birthday of Á. Császár.) Preprint: dvi or ps
On the gradient problem of C. E. Weil, to appear in conference reports of the Real Anal. Exchange. Preprint: pdf or ps
Tíz éve halt meg Benoît Mandelbrot, a fraktálgeometria atyja dokumentum