
- MAXIMIZING MEASURES ON METRIZABLE NONCOMPACT SPACES MARIUSZ URBA
- THE PARABOLIC MAP f 1=e (z) = 1 MARIUSZ URBA
- Hausdor Dimension Estimates In nite Conformal Iterated Function Systems
- Math. Nachr. 279, No. 1314, 1565 1584 (2006) / DOI 10.1002/mana.200410437 Geometry and dynamics of some meromorphic functions
- February 5, 2003 THERMODYNAMIC FORMALISM, TOPOLOGICAL PRESSURE,
- DISCRETE AND CONTINUOUS Website: http://AIMsciences.org DYNAMICAL SYSTEMS
- Estimates for the stable dimension for holomorphic maps Eugen Mihailescu and Mariusz Urba'nski
- ERGODIC THEORY OF PARABOLIC HORSESHOES MARIUSZ URBANSKI AND CHRISTIAN WOLF
- THE TRANSFINITE HAUSDORFF DIMENSION MARIUSZ URBANSKI
- June 28, 2002 FINER GEOMETRIC RIGIDITY OF LIMIT SETS OF CONFORMAL IFS
- VARIATIONS OF HAUSDORFF DIMENSION IN THE EXPONENTIAL FAMILY
- July 5, 2000 Porosity of Julia sets of nonrecurrent
- VIRTUAL CENTERS OF HYPERBOLIC COMPONENTS IN THE TANGENT FAMILY; HAUSDORFF DIMENSION OUTLOOK
- SRB MEASURES FOR AXIOM A ENDOMORPHISMS MARIUSZ URBANSKI AND CHRISTIAN WOLF
- FRACTAL MEASURES AND ERGODIC THEORY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS
- GEOMETRY OF HYPERBOLIC JULIA-LAVAURS SETS MARIUSZ URBA
- CHAPTER 4. THERMODYNAMICAL FORMALISM (version Nov.16, 2002)
- November 10, 1999 PARABOLIC ITERATED FUNCTION SYSTEMS
- GEOMETRIC RIGIDITY FOR THE CLASS S
- THE FINER GEOMETRY AND DYNAMICS OF THE HYPERBOLIC EXPONENTIAL FAMILY
- ON TRANSFER OPERATORS FOR CONTINUED FRACTIONS WITH RESTRICTED DIGITS
- CONFORMAL MEASURES x10.1. GENERAL NOTION OF CONFORMAL MEASURES.
- HIGHER-DIMENSIONAL MULTIFRACTAL VALUE SETS FOR CONFORMAL INFINITE GRAPH DIRECTED MARKOV SYSTEMS
- Inverse topological pressure with applications to holomorphic dynamics of several complex variables
- THE EQUILIBRIUM STATES SEMIGROUPS OF RATIONAL MAPS
- HAUSDORFF DIMENSION AND HAUSDORFF MEASURES OF JULIA SETS OF ELLIPTIC FUNCTIONS
- FRACTAL DIMENSIONS In the first section of this chapter we we provide a more complete treatment of outer
- MEASURES AND DIMENSIONS OF JULIA SETS OF SEMI-HYPERBOLIC RATIONAL SEMIGROUPS
- How points escape to infinity under exponential maps
- OPTIMAL PERIODIC ORBITS FOR NON RECURRENT RATIONAL FUNCTIONS
- Relations between stable dimension and the preimage counting function on basic sets with overlaps
- GEOMETRIC RIGIDITY OF TRANSCENDENTAL MEROMORPHIC JANINA KOTUS AND MARIUSZ URBA
- Some remarks on topological entropy of a semigroup of continuous maps
- REAL ANALYTICITY OF HAUSDORFF DIMENSION PARABOLIC POLYNOMIALS
- REAL ANALYTICITY OF TOPOLOGICAL PRESSURE FOR PARABOLICALLY SEMIHYPERBOLIC GENERALIZED
- Parabolic Cantor Sets Mariusz Urba' nski 1
- REAL ANALYTICITY OF HAUSDORFF DIMENSION FOR HIGHER DIMENSIONAL HYPERBOLIC
- INVARIANT MEASURES FOR PARABOLIC IFS WITH OVERLAPS AND RANDOM CONTINUED FRACTIONS
- DIOPHANTINE APPROXIMATION AND SELF-CONFORMAL MARIUSZ URBA
- RECURRENCE RATES FOR LOOSELY MARKOV DYNAMICAL SYSTEMS
- Dec, 11, 2000. Gibbs States On The Symbolic Space Over An In nite Alphabet
- GEOMETRY AND ERGODIC THEORY OF NON-RECURRENT ELLIPTIC FUNCTIONS
- Continuity of Hausdor dimension of Julia-Lavaurs sets as a function of the phase.
- GEOMETRY AND ERGODIC THEORY OF NON-HYPERBOLIC EXPONENTIAL MAPS
- THE DYNAMICS AND GEOMETRY OF THE FATOU FUNCTIONS JANINA KOTUS AND MARIUSZ URBA
- HAUSDORFF DIMENSION OF RADIAL AND ESCAPING POINTS FOR TRANSCENDENTAL MEROMORPHIC FUNCTIONS
- Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of finite order
- FINER DIOPHANTINE AND REGULARITY PROPERTIES OF 1-DIMENSIONAL PARABOLIC IFS
- Jan. 08, 2003 Measures and Dimensions in Conformal Dynamics
- RIGIDITY OF MULTIDIMENSIONAL CONFORMAL ITERATED FUNCTION SYSTEMS
- Dec 31, 1998 Hausdor measures versus equilibrium states
- CHAPTER 5. EXPANDING REPELLERS IN MANIFOLDS AND RIEMANN SPHERE, PRELIMINARIES
- Feb. 03, 1998. Examples of positive recurrent functions
- THERMODYNAMIC FORMALISM AND MULTIFRACTAL ANALYSIS OF FINER JULIA SETS OF EXPONENTIAL FAMILY
- POROSITY IN CONFORMAL INFINITE ITERATED FUNCTION MARIUSZ URBA '
- THE DOUBLING PROPERTY OF CONFORMAL MEASURES OF INFINITE ITERATED FUNCTION SYSTEMS
- Diophantine Extremality of the Patterson Measure B. O. Stratmann, M. Urbanski #
- CHAPTER 7. SULLIVAN'S CLASSIFICATION OF CONFORMAL EXPANDING REPELLERS.
- November 09, 1999 On invariant line fields
- Conformal, Geometric and Invariant Measures for Transcendental Expanding Functions
- THE DIOPHANTINE ANALYSIS OF CONFORMAL ITERATED FUNCTION SYSTEMS
- REGULARITY PROPERTIES OF HAUSDORFF DIMENSION IN INFINITE CONFORMAL IFS
- Existence of Invariant Measures for Transcendental Subexpanding Functions
- DISTANCE EXPANDING MAPS version Feb.1, 2000
- REAL ANALYTICITY OF HAUSDORFF DIMENSION FOR EXPANDING RATIONAL SEMIGROUPS
- ON STABILITY OF VELOCITY VECTORS FOR SOME PASSIVE TRACER MODELS
- L q DENSITIES FOR MEASURES ASSOCIATED WITH PARABOLIC IFS WITH OVERLAPS
- December 19, 2001 RIGIDITY OF CONNECTED LIMIT SETS OF CONFORMAL IFS
- Chapters already renumbered, 2b=3 etc CONFORMAL FRACTALS, DIMENSIONS AND ERGODIC THEORY
- Geometry of Markov Systems and Codimension-One Andrzej Bis
- DISTANCE EXPANDING RANDOM MAPPINGS, THERMODYNAMIC FORMALISM,
- ERGODIC OPTIMIZATION FOR NON-COMPACT DYNAMICAL O. JENKINSON, R. D. MAULDIN & M. URBANSKI
- PSEUDO-MARKOV SYSTEMS AND INFINITELY GENERATED SCHOTTKY GROUPS
- GEOMETRIC THERMODYNAMICAL FORMALISM AND REAL ANALYTICITY FOR MEROMORPHIC FUNCTIONS OF
- ANALYTIC FAMILIES OF HOLOMORPHIC IFS MARIO ROY, HIROKI SUMI, AND MARIUSZ URBANSKI
- THE GEOMETRY OF BAIRE SPACES TUSHAR DAS AND MARIUSZ URBANSKI
- LAMBDA-TOPOLOGY VS. POINTWISE TOPOLOGY MARIO ROY, HIROKI SUMI, AND MARIUSZ URBANSKI
- MULTIFRACTAL ANALYSIS FOR CONFORMAL GRAPH DIRECTED MARKOV SYSTEMS
- BOWEN PARAMETER AND HAUSDORFF DIMENSION FOR EXPANDING RATIONAL SEMIGROUPS
- ANALYTIC FAMILIES OF SEMIHYPERBOLIC GENERALIZED POLYNOMIAL-LIKE MAPPINGS
- RANDOM GRAPH DIRECTED MARKOV SYSTEMS MARIO ROY AND MARIUSZ URBANSKI
- HAUSDORFF DIMENSION THE LIMIT SET
- July 17, 2001 Thermodynamic Formalism and Multifractal Analysis
- ERGODIC THEORY HOLOMORPHIC ENDOMORPHISMS
- FRACTAL MEASURES FOR MEROMORPHIC FUNCTIONS OF FINITE ORDER
- July 23, 2001 FRACTAL MEASURES FOR PARABOLIC IFS
- MULTIFRACTAL ANALYSIS FOR PARABOLICALLY SEMIHYPERBOLIC GENERALIZED
- ERGODIC OPTIMIZATION FOR NONCOMPACT DYNAMICAL SYSTEMS
- version Dec.7, 1999 last revised Feb. 23, 2002
- The Geometry of Conformal Measures for Parabolic Rational Maps
- THE SCENERY FLOW FOR HYPERBOLIC JULIA SETS Tim Bedford 1 , Albert M. Fisher 2 and Mariusz Urba nski 3
- CHAPTER 7. CONFORMAL EXPANDING REPELLERS Nov. 23, 2002
- September 24, 1998 Rigidity of Tame Rational Functions
- Conformal families of measures for bred systems Mario Roy and Mariusz Urbanski y
- version of Nov.25, 2002 CONFORMAL MAPS WITH INVARIANT
- Rigidity of Infinite onedimensional Iterated Function Systems Pawel Hanus and Mariusz Urba' nski 1
- METRICAL DIOPHANTINE ANALYSIS FOR TAME PARABOLIC ITERATED FUNCTION SYSTEMS
- Manuscript submitted to Website: http://AIMsciences.org AIMS' Journals
- Conformal Fractals Ergodic Theory Methods Feliks Przytycki Mariusz Urbanski
- DIOPHANTINE APPROXIMATION FOR CONFORMAL MEASURES OF ONE-DIMENSIONAL ITERATED FUNCTION SYSTEMS
- ERGODIC THEORY ON COMPACT METRIC SPACES Dec.5, 1999
- June 03, 1999 Rigidity of Conformal Iterated Function Systems
- WELL-APPROXIMABLE POINTS FOR JULIA SETS WITH PARABOLIC AND CRITICAL POINTS
- Jarn'ik and Julia; a Diophantine analysis for parabolic rational maps
- ZERO TEMPERATURE LIMITS OF GIBBSEQUILIBRIUM STATES FOR COUNTABLE
- HAUSDORFF DIMENSION OF LIMIT SETS FOR PARABOLIC IFS WITH OVERLAPS
- CONFORMAL ITERATED FUNCTION SYSTEMS WITH APPLICATIONS TO THE GEOMETRY OF CONTINUED FRACTIONS
- 1991, last revised October 30, 2006 CHAPTER 5A. CANTOR REPELLERS IN THE LINE, SULLIVAN'S
- INSTABILITY OF EXPONENTIAL COLLET -ECKMANN MAPS MARIUSZ URBANSKI AND ANNA ZDUNIK
- Inverse pressure estimates and the independence of stable dimension for non-invertible maps
- ERGODIC PROPERTIES OF SUBHYPERBOLIC FUNCTIONS WITH POLYNOMIAL SCHWARZIAN DERIVATIVE
- November 14, 1999 chapters renumbered, 2b=3 etc
- REAL ANALYTICITY OF HAUSDORFF DIMENSION OF FINER JULIA SETS OF EXPONENTIAL FAMILY
- HAUSDORFF DIMENSION OF HARMONIC MEASURE FOR SELF-CONFORMAL SETS
- On the uniqueness of the density for the invariant measure in an infinite hyperbolic iterated function system
- The class of pseudo non-recurrent elliptic functions; geometry and
- FINER FRACTAL GEOMETRY OF RADIAL JULIA SETS OF MEROMORPHIC
- TRANSVERSALITY FAMILY OF EXPANDING RATIONAL HIROKI SUMI AND MARIUSZ URBANSKI
- DYNAMICAL RIGIDITY TRANSCENDENTAL
- STOCHASTICS AND THERMODYNAMICS EQUILIBRIUM MEASURES
- THE LAW OF ITERATED LOGARITHM EQUILIBRIUM MEASURES
- FINE INDUCING EQUILIBRIUM MEASURES
- QUANTIZATION DIMENSION FOR INFINITE CONFORMAL ITERATED FUNCTION SYSTEMS
- arXiv:submit/0416750[math.DS]14Feb2012 REGULARITY AND IRREGULARITY OF FIBER DIMENSIONS OF
- THERMODYNAMICAL FORMALISM A MODIFIED SHIFT MAP