Mariusz Urbanski
Department of Mathematics
University of North Texas
PAPERS
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1. "On a
capacity of a continuum with non-dense orbit under a hyperbolic toral automorphism," Studia Math. 81 (1985), 37-51.
2. "Hausdorff dimension of invariant sets for expanding maps of
a circle," Ergod. Th. and Dynam. Sys. 6 (1986), 295-309.
3. "Invariant
subsets of expanding mappings of the circle," Ergod.
Th. and Dynam. Sys. 7 (1987), 627-645.
4. (With F. Przytycki), "On Hausdorff
dimension of some fractal sets," Studia
Math. 93 (1989), 155-186.
5. (With F. Przytycki and A. Zdunik),
"Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps I," Ann. of Math.
130 (1989), 1-40.
6. "Hausdorff dimension of invariant subsets for endormorphisms of the circle with an indifferent fixed
point," J. London Math. Soc. (2) 40 (1989), 158-170.
7. (With T.
Bedford), "The box and Hausdorff dimension of
self-affine sets," Ergod. Th. and Dynam. Sys.,10 (1990),
627-644.
8. (With M. Denker and G. Keller), "On the uniqueness of
equilibrium states for piecewise monotone maps," Studia
Math. 97 (1990), 27-36.
9. "The
probability distribution and Hausdorff dimension of
self-affine functions," Probab. Th.
Rel. Fields 84 (1990), 377-391.
10. "The Hausdorff dimension of the graphs of continuous self-affine
functions," Proc. A.M.S. 108 (1990), 921-930.
11. (With M. Denker), "On the existence of conformal
measures," Trans. A.M.S. 328 (1991), 563-587.
12. (With M. Denker), "Ergodic theory of
Equilibrium states for rational maps," Nonlinearity 4 (1991),
103-134.
13. (With M. Denker), "Hausdorff and
conformal measures on Julia sets with a rationally indifferent periodic
point," J. London Math. Soc. 43 (1991), 107-118.
14. (With M. Denker), "On absolutely continuous invariant measures
for expansive rational maps with rationally indifferent periodic points," Forum
Math. 3 (1991), 561-579.
15. (With M. Denker), "On Sullivan's conformal measures for
rational maps of the Riemann sphere," Nonlinearity 4 (1991),
365-384.
16. (With M. Denker), "On Hausdorff
measures on Julia sets of subexpanding rational
maps," Israel J. of Math. 76 (1991) 193-214.
17. (With F. Przytycki and A. Zdunik),
"Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps II," Studia Math., 97 (1991), 189-225.
18. "On Hausdorff dimension of Julia set with a rationally
indifferent periodic point," Studia
Math. 97 (1991), 167-188.
19. "The Hausdorff dimension of the set of points with non-dense
orbit under a hyperbolic dynamical system," Nonlinearity 4 (1991),
385-397.
20. (With M. Denker), "Geometric measures for parabolic rational
maps," Ergod. Th. and Dynam. Sys. 12 (1992), 53-66.
21. (With M. Denker), "The dichotomy of Hausdorff
measures and equilibrium states for parabolic rational maps," in
Proceedings of the Conference on Ergodic Theory in Gustrow (1990), Lecture Notes in Mathematics, 1514
(1992), 90-110.
22. (With M. Denker), "The Capacity of parabolic Julia sets," Math.
Zeitsch 211, (1992), 73-86.
23. (With J. Aaronson and M. Denker), "Ergodic theory for
Markov fibered systems and parabolic rational maps," Transactions of
A.M.S. 337 (1993), 495-548.
24. (With L.
Zamboni), "On free actions on (lambda)-trees," Math. Proc.
Cambridge Phil. Soc., 113 (1993), 535-543.
25. (With M. Denker), "Relating Hausdorff
measures and harmonic measures on parabolic Jordan curves," Journal fur
die Reine und Angewandte Mathematik, 450 (1994), 181-201.
26. (With F. Hofbauer), "Fractal properties of invariant subsets
for piecewise monotonic maps on the interval," Transactions of A.M.S.,
343 (1994), 659-763.
27. (With D.
Mauldin), "Jordan curves as repellors," Pacific
Journal of Math., 166 (1994), 85-97.
28. "Rational
functions with no recurrent critical points," Ergod.
Th. and Dynam. Sys., 14 (1994),
391-414.
29. (With L.
Zamboni), "Circle maps, measured laminations, and free group actions on
-trees, Mathematische Nachrichten,
170 (1994), 277-285.
30. (With M. Denker and Z. Nitecki),
"Conformal measures and S-Unimodal maps," Dynamical
Systems and Applications of WSSIA, 4 (1995), 169-215.
31. "A new
transfinite dimension for metrizable spaces, Bull.
Pol. Acad. Sci., Mathematics 43 (1995), 9-18.
32. (With A. Volberg), "A rigidity theorem in complex
dynamics," in Fractal Geometry and Stochastics,
Progress in Probability 37, Birkhauser Verlag (1995).
33. (With M. Denker and F. Przytycki),
"On the transfer operator for rational functions on the Riemann sphere, Ergod. Th. and Dynam.
Sys 16 (1996), 255-266 .
34. (With D.
Mauldin), "Dimensions and measures in infinite iterated function
systems," Proc. London Math. Soc. (3) 73 (1996), 105-154.
35. (With B. Stratmann), "The box-counting dimension for
geometrically finite Kleinian groups," Fundamenta Mathematica
149 (1996), 83-94.
36. "Parabolic
Cantor sets," Fund. Math. 151 (1996), 241-277.
37. "Geometry
and ergodic theory of conformal nonrecurrent
dynamics," Ergod. Th. and Dynam. Sys. 17 (1997), 1449-1476.
38. (With M. Denker, D. Mauldin, and Z. Nitecki),
"Conformal measures for rational functions revisited," Fundamenta Math. 157 (1998), 161-173.
39. (With P. Hanus), "Rigidity of
infinite iterated function systems," Real Anal. Exch., 24 (1998/9),
275-288.
40. (With P. Hanus), "Complex continued fractions with restricted
entries" Electronic J. Differential Equations, Vol. 8 (1998), No.
27, 1-9.
41. (With D.
Mauldin), "Dimension and measures for a curvilinear Sierpinski
gasket or Apollonian packings," Adv. Math.,
136 (1998), 26-38
42. (With D.
Mauldin), "On
the uniqueness of the density of the invariant measure in an infinite
hyperbolic iterated function system," Periodica
Math. Hung. ,37 (1998), 47-53.
43. "Hausdorff measures versus equilibrium states of conformal
infinite iterated function systems", Periodica
Math. Hung., 37 (1998), 153-205.
44. (With P. Hanus), "A new class
of positive recurrent functions", Contemporary Mathematics Series of
AMS, 246 (1999), 123-136.
45. (With D.
Mauldin), "Conformal
iterated function systems with applications to the geometry of continued
fractions," Trans. of A.M.S. 351 (1999), 4995-5025.
46. (with F. Przytycki) "Rigidity of
tame rational functions," Bull. Pol. Acad. Sci. Math., 47.2
(1999), 163-182.
47. (With D.
Mauldin), "Parabolic
iterated function systems," Ergod.
Th. & Dynam. Sys. 20 (2000), 1423-1447.
48. (With A.
Fisher), " On invariant line fields," Bull. London
Math. Soc. 32 (2000), 555-570.
49. (With B. Stratmann), "The geometry
of conformal measures for parabolic rational maps," Math. Proc.
Cambridge Phil. Soc. 128 (2000), 141-156.
50. (With B. Stratmann and M. Zinsmeister), "Well-approximable points for Julia sets with parabolic and
critical points," Comp. Meth. and Funct. Th. 1 (2001), 89-97.
51. (with F. Przytycki) "Porosity of
Julia sets of non-recurrent and parabolic Collet-Eckmann
rational functions," Ann. Acad. Fenn. 26
(2001), 125-154.
52. "Porosity in
conformal infinite iterated function systems" J. Number Th. 88 No. 2
(2001), 283-312
53. (With K.
Simon and B. Solomyak), "Hausdorff dimension of limit sets for parabolic IFS with
overlaps," Pacific J. Math. 201 (2001), 441-478.
54. (With K.
Simon and B. Solomyak), " Invariant measures for parabolic IFS with overlaps
and random continued fractions", Trans. Amer. Math. Soc. 353 (2001),
5145-5164.
55. (With M. Zinsmeister) "
Continuity of Hausdorff dimension of Julia-Lavaurs sets as a function of the phase" J. of
Conformal Geometry and Dynamics, 5 (2001), 140-152..
56. (With D.
Mauldin), "Gibbs
states on the symbolic space over an infinite alphabet," Israel J. of
Math. 125 (2001), 93-130.
57. (With D.
Mauldin and F. Przytycki), "Rigidity of
conformal iterated function systems", Compositio
Math. 129 (2001), 273-299.
58. "Rigidity of
multidimensional conformal iterated function systems" Nonlinearity 14
(2001), 1593-1610.
59. (With D.
Mauldin and V. Mayer), "Rigidity of
connected limit sets of conformal IFS," Michigan Math. J. 49 (2001),
451-458.
60. (With M. Zinsmeister) "Geometry of
hyperbolic Julia-Lavaurs sets" Indagationes Math. 12 (2001), 273-292
61. (With B. Solomyak), "$L^q$ densities for measures associated with parabolic IFS
with overlaps", Indiana J. Math. 50 (2001), 1845-1866.
62. (With P. Hanus and D. Mauldin), "
Thermodynamic formalism and multifractal
analysis of conformal infinite iterated function systems ", Acta Math. Hungarica, 96 (2002),
27-98.
63. (With S.
Heinemann) " Hausdorff dimension
estimates for infinite conformal iterated function systems ", Nonlinearity
15 (2002), 727-734.
64. (With D.
Mauldin), "Fractal
measures for parabolic IFS," Advances in Math. 168 (2002), 225-253.
65. (With B. Stratmann), "Jarnik and Julia; a Diophantine analysis for parabolic
rational maps," Math. Scan. 91 (2002), 27-54.
66. (With A. Zdunik) "Hausdorff dimensionf of harmonic
measure for self-conformal sets, " Advances
in Math. 171 (2002), 1-58.
67. "The
Diophantine analysis of conformal iterated function systems" Monatshefte fur Math. 137 (2002), 325-340.
68. (With J. Kotus) "
Conformal, geometric and invariant measures for transcendental expanding
functions; Math. Annalen 324 (2002), 619-656.
69. (With T.
Bedford and A. Fisher), "The scenery
flow for hyperbolic Julia sets," Proc. London Math. Soc. 85 (2002),
467-492.
70. (With J. Kotus) "Existence of
invariant measures for transcendental subexpanding
functions"; Math. Zeitschrift 243 (2003),
25-36.
71. (With J. Kotus) "
Hausdorff dimension and Hausdorff
measures of Julia sets of elliptic functions, Bull. London Math. Soc. 35
(2003), 269-275,
72. (With E. Mihailescu) "
Holomorphic maps for which unstable manifolds depend on prehistories, Discrete
& Continuous Dynam. Sys. 9 (2003), 443-450.
73. (With F.
Gonzales and O. Jenkinson) "
On transfer operator of continued fractions with restricted entries, Proc.
London Math. Soc. 86 (2003), 755-778.
74. "
Thermodynamic formalism, topological pressure and escape rates for
non-recurrent conformal dynamics" Fund. Math. 176 (2003), 97-125.
75. "
Measures and dimensions in conformal dynamics" Bull. Amer.
Math. Soc. 40 (2003), 281-321.
76. (With A. Zdunik) "
The finer geometry and dynamics of exponential family" Michigan
Math. J. 51 (2003), 227-250.
77. (With D.
Mauldin) " The doubling property of conformal measures of
infinite iterated function systems" J. Number Th. 102 (2003), 23-40.
78. "
Optimal periodic orbits for non-recurrent rational functions, Math.
Bull. Pol. Acad. Sci. 51 (2003), 175-184.
79. (With V.
Mayer), "Finer
Geometric Rigidity of limit sets of conformal IFS," Proc. Amer. Math.
Soc. 131 (2003), 3605-3702.
80. (With B. Stratmann), "
Real Analyticity of Topological Pressure for parabolically
semihyperbolic generalized polynomial-like maps, Indag. Mathem. 14 (2003), 119-134.,".
81. (With V. Maume Deschamp, B. Schmitt and A.
Zdunik) "
Pressure and recurrence, Fund. Math. 178 (2003), 129-141.
82. (With M.
Roy), " Conformal families of measures for fibred systems,
" Monatshefte fur Mathematik
140 (2003), 135-145.
83. (With A. Zdunik), "Real
analyticity of Hausdorff dimension of finer Julia
sets of exponential family", Ergod Th. and Dynam. Sys. 24 (2004), 279-315.
84. (With B. Stratmann), "Multifractal analysis for parabolically
semihyperbolic generalized polynomial-like
maps", IP New Studies in Advanced Mathematics, 5 (2004), 393-347.
85. (With E. Mihailescu) "
Inverse topological pressure with applications to holomorphic dynamics
of several complex variables ", Comm. in Contemporary Math. 6 (2004),
653-681.
86. (With A. Zdunik) " The
parabolic map ${1\over e}e^z$ ", Indagationes
Math. 15 (2004), 419-433.
87. (With B. Stratmann), "Metrical
Diophantine analysis for tame parabolic iterated function systems," Pacific
J. Math. 216 (2004), 361-392.
88. (With J. Kotus) "
Geometry and ergodic theory of non-recurrent
elliptic functions; " J. d'Analyse Math. 93
(2004), 35-102.
89. (With C.
Wolf), " SRB measures for Axiom A endomorphisms
", Math. Research Letters, 11 (2004), 785-797.
90. "
Finer diophantine and regularity properties of
$1$-dimensional parabolic IFS, " Preprint 2005, to appear Real
Analysis Exch.
91. "
Thermodynamic Formalism and Multifractal
Analysis of Finer Julia Sets of Exponential Family ", , Preprint 2005.
92. "
Diophantine approximation of self-conformal measures, J. Number Th.
110 (2005), 219-235.
93. (With J. Kotus) "The dynamics
and geometry of the Fatou functions", Discrete
and Continuous Dynam. Sys., 13 (2005), 291-338
94. (With V.
Mayer), " Gibbs and equilibrium measures for elliptic
functions", Math. Zeit. 250 (2005), 657-683.
95. (With E. Mihailescu) "
Estimates for the stable dimension for holomorphic maps", Houston
J. Math. 31 (2005), 367-389.
96. (With O. Jenkinson and D. Mauldin) "
Zero temperature limits of Gibbs-equilibrium states for countable
alphabet subshifts of finite type", J.
Statistical Physics 119 (2005), 765-776.
97. (With V.
Mayer), " Exponential elliptics give
dimension two", Illinois J. Math. 49 (2005), 291-294.
98. "
Diophantine approximation of conformal measures of one-dimensional
iterated function systems, Compositio Math. 141
(2005) 869-886.
99. (With M.
Roy), " Regularity properties of Hausdorff
dimension in infinite IFS, Ergod. Th. and Dynam. Sys. 25 (2005), 1961-1983.
100.
(With B. Stratmann), "
Diophantine extremality of the Patterson
measure", Math. Proc. Cambridge Phil. Soc. 140 (2006), 297-304.
101.
(With B. Karpinska), "
How points escape to infinity under exponential maps, " Journal
London Math. Soc. 73 (2006), 141-156.
102.
(With J. Kotus) "
Geometric rigidity of transcendental meromorphic
functions ", Math. Zeit. 253 (2006),
227-233.
103.
(With J. Kotus) "
Virtual Centers of Hyperbolic Components in the Tangent Family; Hausdorff Dimension Outlook ", Ergod.
Th. and Dynam. Sys. 26 (2006), 769-782.
104.
(With A. Bis) "
Some remarks on topological entropy of a semigroup
of continuous maps, Cubo J. 8 (2006), 63-71.
105.
(With J. Kotus) "
Geometry and dynamics of some meromorphic
functions, Mathem. Nachr.
279 (2006), 1565-1584.
106.
(With O. Jenkinson and D. Mauldin)
" Ergodic optimization for
countable alphabet subshifts of finite type, Ergod. Th. and Dynam. Sys. 26
(2006), 1791-1803.
107.
(With M. Zinsmeister) "Parabolic
implosion and Julia-Lavaurs sets in the exponential
family", Monatsh. Math. 149 (2006), 129-140.
108.
(With A. M. Davie and A. Zdunik), "
Maximizing measures on Metrizable Non-Compact
Spaces ", Proc. Edinburgh Math. Soc. 50 (2007), 123-151.
109.
(With A. Zdunik) "
Geometry and ergodic theory of non-hyperbolic
exponential maps ", Trans. AMS 359 (2007), 3973-3997.
110.
"
Recurrence rates for loosely Markov dynamical systems, J. Australian
Math. Soc. 82 (2007), 39-57.
111.
(With V. Mayer), "
Fractal measures for meromorphic functions of
finite order ", Dyn. Sys. 22 (2007),
169-178.
112.
(With J. Kotus) " The class of pseudo non-recurrent elliptic functions;
geometry and dynamics, " Preprint 2007. ,
113.
(With B. Stratmann), "
Pseudo-Markov systems and infinitely generated Schottky
groups", Amer. J. Math. 129 (2007), 1019-1062
114.
(With M. Kesseboehmer) " Higher-Dimensional Multifractal
Value Sets for Conformal Infinite Graph Directed Markov Systems, " Nonlinearity
20 (2007), 1969-1985.
115.
(With O. Jenkinson and D. Mauldin)
" Ergodic optimization for
non-compact dynamical systems", Dynamical Systems 22 (2007), 379-388.
116.
(With A. Zdunik) "
Instability of exponential Collet - Eckmann
maps", Israel J. Math. 161 (2007), 347 - 371.
117.
(With E. Mihailescu) "
Inverse pressure estimates and the independence of stable dimension for
non-invertible maps ", Canadian. J. Math. 60 (2008), 658-684.
118.
(With E. Mihailescu) " Transversal
Families of Skew-Product Axiom A Endomorphisms
", Discrete and Continuous Dynamical Systems 21 (2008), 907-928.
119.
(With M. Roy), " Real
Analyticity of Hausdorff Dimension for Higher
Dimensional Graph Directed Markov Systems ", Mathematische
Zeitschrift 260 (2008), 153-175
120.
(With A. Bis) "
Geometry of Markov Systems and Codimension-One
Foliations, ", Ann. Polon. Math. 94 (2008),
187-196.
121.
(With J. Kotus) "
Fractal measures and ergodic theory of
transcendental meromorphic functions (research
expository article) ", London Math. Soc. Lect. Notes. 348 (2008),
Volume: Transcendental Dynamics and Complex Analysis.
122.
(With V. Mayer), "
Geometric thermodynamical formalism and real
analyticity for meromorphic functions of finite order
", Ergod. Theory & Dynam.
Sys., 28 (2008), 915 - 946.
123.
(With M. Roy and H. Sumi), " Analytic
Families of Holomorphic IFS ", Nonlinearity, 21 (2008), 2255-2279.
124.
(With C. Wolf), "
Ergodic Theory of Parabolic Horseshoes", Comm.
Math. Phys. 281 (2008), 711-751.
125.
(With J. Kotus) " Hausdorff dimension of
radial and escaping points for transcendental meromorphic
functions, " Illinois J. Math. 52 (2008),1035-1044.
126.
(with M. Roy and H. Sumi), " $\lambda$
topology vs. pointwise topology, ", Ergod. Th. & Dynam. Sys. 29
(2009), 685-713.
127.
(with H. Sumi)
" The
Equilibrium States for Semigroups of Rational
Functions, ", Monatshefte fur Math. 156
(2009), 371-390.
128.
(with R. D. Mauldin and T. Szarek) "
Graph Directed Markov Systems on Hilbert Spaces ", Math. Proc.
Cambridge Phil. Soc. 147 (2009), 455-488.
129.
(with M. Roy) " Mulitifractal Analysis for Conformal Graph Directed Markov
Systems ", Discrete & Continuous Dynam.
Sys. 25 (2009), 627-650.
130.
"
Geometric Rigidity for Class S of Transcendental Meromorphic
Functions whose Julia Sets are Jordan Curves, ", Proc. Amer. Math.
Soc. 137 (2009) 3733-3739.
131.
" Transfinite Hausdorff
Dimension ", Topology and its Applications. 156 (2009) 2762-2771.
132.
"
Analytic Families of Semihyperbolic
Generalized Polynomial-Like Mappings, ", Monatshefte
fur Math. 159 (2010) 133-162
133.
(with V. Mayer), " Thermodynamical Formalism and Multifractal
Analysis for Meromorphic Functions of Finite Order
", Memoirs of AMS 203 (2010), no. 954
134.(With H. Sumi)
"
Real analyticity of Hausdorff dimension for
expanding rational semigroups, " Ergod. Th. & Dynam. Sys. 30
(2010) 601-633.
135.(With V. Mayer), "
Ergodic properties of sub-hyperbolic functions
with polynomial Schwarzian derivative ", Edinburgh
Math. Soc. 53 (2010), 471-502.
136.(With G. Havard
and M. Zinsmeister) " Variation in Hausdorff
Dimension in the exponential family, ", Annales
Academi? Scientiarum Fennic? 35 (2010), 351-378.
137.(with
T. Szarek and M. Sleczka) " On Stability of
Velocity Vectors for Some Passive Tracer Models ", Bull. London Math.
Soc. 42 (2010), 923-936.
138.(With E. Mihailescu)
" Relations between Stable Dimension and the Preimage Counting Function on Basic Sets with Overlaps
", Bull. London Math. Soc. 42 (2010), 15-27.
139.(With H. Sumi)
" Measures and Dimensions of Julia sets of
Semi-hyperbolic Rational Semigroups ", Discrete
& Continuous Dynamical Systems 30 (2011), 313-363.
140.(with
M. Roy) "
Random Graph Directed Markov Systems;, Discrete & Continuous Dynamical
Systems 30 (2011), 261-298.
141.(with
E. Mihailescu) " Hausdorff Dimension of the Limit Set of Conformal Iterated
Function Systems with Overlaps;, Proc. AMS. 139 (2011), 2767-2776.
142.(With V. Mayer and B. Skorulski), " Random Distance Expanding Mappings, Thermodynamic
Formalism, Gibbs Measures, and Fractal Geometry ", Lecture Notes in
Math. 2036, Springer (2011).
143.(With T. Das) " The Geometry of Baire
Spaces ", Dynamical Systems 26 (2011), 537-567.
144.(with
H. Akter) " Real
Analyticity of Hausdorff Dimension of Julia Sets of
Parabolic Polynomials f_\lambda(z)=z(1-z-\lamda
z^{2})}", Illinois Journal of Mathematics. 55 (2011), 157-184.
145.(with
B. Skorulski), " Finer
Fractal Geometry for Analytic Families of Conformal Dynamical Systems ", Preprint
2011, to appear in Dynamical Systems..
146.(with
M. Szostakiewicz and A. Zdunik
"
Fine Inducing and Equilibrium Measures for Rational Functions of the Riemann
Sphere ", Preprint 2011.
147.(with
M. Szostakiewicz and A. Zdunik
" Stochastics and Thermodynamics for Equilibrium Measures of
Holomorphic Endomorphisms on Complex Projective
Spaces ", Preprint 2011.
148.(with
M. K. Roychowdhury) "
Quantization dimension for infinite conformal iterated function systems,
", Preprint 2011.
149.(with
S. Muir) "
Thermodynamical formalism for a modified shift map,
", Preprint 2011, , to appear in Stochastics
and Dynamics.
150.(with
H. Sumi) " Bowen
Parameter and Hausdorff Dimension for Expanding
Rational Semigroups ", Discrete &
Continuous Dynamical Systems. 32 (2012), 2591-2603.
151.(with
B. Skorulski), " Dynamical
Rigidity of Transcendental Meromorphic Functions
", Nonlinearity 25 (8) (2012), 2337--2348.
152.(with
L. Fishman and D. Simmons), " Diophantine
properties of measures invariant with respect to the Gauss map ", Preprint
2012, to appear Journal d'Analyse.
153.(with
D. Simmons), "
Relative Equilibrium States and Dimensions of Fiberwise
Invariant Measures for Distance Expanding Random Maps " Preprint 2012,
to appear Stochastics and Dynamics,.
154.(with E. Mihailescu),
" Asymptotic
degrees and measures on folded fractals ", Preprint 2012,
155.(with L. Rempe),
"
Non-autonomous conformal iterated function systems and Moran-set constructions,
Asymptotic degrees and measures on folded fractals ", Preprint 2012,
156.(with
H. Sumi) " Transversality family of Expanding Rational Semigroups, ", Advances in Math. 234 (2013),
697--734.
157.(with B. Skorulski),
"
The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures for Dynamically semi-Regular Meromorphic Functions ", Proc. Conf. "Further
Developments in Fractals and Related Fields", in "Trends in
Mathematics" of Birkhauser (2013) p. 213--234.
158.(with
T. Szarek and A. Zdunik), "
Continuity of Hausdorff Measure for Conformal
Dynamical Systems ", Discrete and Continuous Dynamical Systems, Series
A. 33 (2013), 4647--4692.
159.(With A. Zdunik)
" Equilibrium Measures for Holomorphic Endomorphisms of Complex Projective spaces ", Fundamenta Math. 220 (2013), 23--69.
160.(with
V. Mayer and B. Skorulski), "
Regularity and Irregularity of Fiber Dimensions of Non-Autonomous Dynamical Systems
", Annales Academiae
Scientiarum Fennicae Mathematica 38 (2013), 489--514.
161.(with
E. Mihailescu), " Hausdorff Dimension of the Limit Set of Countable Conformal
Iterated Function Systems with Overlaps ", Contemporary Mathematics
600 (2013), 273-290.
162.(with
E. Mihailescu), " Entropy
production for a class of inverse SRB measures ", Journal of Stat. Phys. 150 (2013),
881-888.
163.(with
L. Fishman and D. Simmons), "
Diophantine Approximation and the Geometry of Limit Sets in Gromov
Hyperbolic Metric Spaces ", Preprint 2013.
164.(with
L. Fishman and D. Simmons), "
Diophantine Approximation in Banach Spaces ", Preprint
2013, to appear Journal de Th\'eorie
des Nombres de Bordeaux.
165.(with
V. Chousionis), " A note on
weak convergence of singular integrals in metric spaces ", Preprint
2013.
166.(with
A. Zdunik), "
Continuity of the Hausdorff Measure of Continued
Fractions and Countable Alphabet Iterated Function Systems ", Preprint
2013.
167.(with
V. Chousionis),
“Homogeneous
Kernels and Self Similar Sets”, Preprint 2013, to appear Indiana J. of
Math..
168.“Countable Alphabet Non-Autnomous
Self-Affine Sets”, Preprint 2013.
169.(with A. Zdunik) “Regularity
of Hausdorff measure function for conformal dynamical
systems”, Preprint 2014.
Mariusz Urbanski
Revised 02/09/2013