Mihailescu, Eugen; Urbański, Mariusz Geometry of measures in random systems with complete connections. (English) Zbl 1502.28008 J. Geom. Anal. 32, No. 5, Paper No. 162, 18 p. (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 28A80 30C35 37A05 37C45 37D35 37H15 PDFBibTeX XMLCite \textit{E. Mihailescu} and \textit{M. Urbański}, J. Geom. Anal. 32, No. 5, Paper No. 162, 18 p. (2022; Zbl 1502.28008) Full Text: DOI arXiv
Chousionis, Vasileios; Urbański, Mariusz Porosity in conformal dynamical systems. (English) Zbl 1506.37055 Math. Proc. Camb. Philos. Soc. 172, No. 2, 303-371 (2022). MSC: 37E25 37A44 37F10 37C45 28A78 28A80 28C10 PDFBibTeX XMLCite \textit{V. Chousionis} and \textit{M. Urbański}, Math. Proc. Camb. Philos. Soc. 172, No. 2, 303--371 (2022; Zbl 1506.37055) Full Text: DOI arXiv
Urbański, Mariusz; Roy, Mario; Munday, Sara Non-invertible dynamical systems. Volume 2. Finer thermodynamic formalism – distance expanding maps and countable state subshifts of finite type, conformal GDMSs, Lasota-Yorke maps and fractal geometry. (English) Zbl 1505.37003 De Gruyter Expositions in Mathematics 69, 2. Berlin: De Gruyter (ISBN 978-3-11-070061-9/hbk; 978-3-11-070269-9/ebook; 978-3-11-070679-6/set). xxix, 431-921 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37-02 37B05 37D20 37D25 37D30 37D35 37E05 37E15 37E25 37C45 37C30 28A78 28A80 PDFBibTeX XMLCite \textit{M. Urbański} et al., Non-invertible dynamical systems. Volume 2. Finer thermodynamic formalism -- distance expanding maps and countable state subshifts of finite type, conformal GDMSs, Lasota-Yorke maps and fractal geometry. Berlin: De Gruyter (2022; Zbl 1505.37003) Full Text: DOI
Mihailescu, Eugen; Urbański, Mariusz Smale endomorphisms over graph-directed Markov systems. (English) Zbl 1479.37031 Ergodic Theory Dyn. Syst. 41, No. 8, 2508-2541 (2021). MSC: 37D35 37A35 37C45 37A44 11K55 46G10 60B05 PDFBibTeX XMLCite \textit{E. Mihailescu} and \textit{M. Urbański}, Ergodic Theory Dyn. Syst. 41, No. 8, 2508--2541 (2021; Zbl 1479.37031) Full Text: DOI arXiv
Mihailescu, Eugen; Urbański, Mariusz Skew product Smale endomorphisms over countable shifts of finite type. (English) Zbl 1452.37041 Ergodic Theory Dyn. Syst. 40, No. 11, 3105-3149 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37D35 37A35 37A44 37B10 37B51 37C45 46G10 60B05 PDFBibTeX XMLCite \textit{E. Mihailescu} and \textit{M. Urbański}, Ergodic Theory Dyn. Syst. 40, No. 11, 3105--3149 (2020; Zbl 1452.37041) Full Text: DOI arXiv
Mayer, Volker; Urbański, Mariusz; Zdunik, Anna Real analyticity for random dynamics of transcendental functions. (English) Zbl 1436.37063 Ergodic Theory Dyn. Syst. 40, No. 2, 490-520 (2020). MSC: 37H12 37F35 37D35 37C40 PDFBibTeX XMLCite \textit{V. Mayer} et al., Ergodic Theory Dyn. Syst. 40, No. 2, 490--520 (2020; Zbl 1436.37063) Full Text: DOI arXiv
Chousionis, Vasileios; Leykekhman, Dmitriy; Urbański, Mariusz The dimension spectrum of conformal graph directed Markov systems. (English) Zbl 1421.37013 Sel. Math., New Ser. 25, No. 3, Paper No. 40, 74 p. (2019). MSC: 37C45 37D35 28A80 11K50 11J70 37B10 37C30 37C40 PDFBibTeX XMLCite \textit{V. Chousionis} et al., Sel. Math., New Ser. 25, No. 3, Paper No. 40, 74 p. (2019; Zbl 1421.37013) Full Text: DOI arXiv
Pollicott, Mark; Urbański, Mariusz Open conformal systems and perturbations of transfer operators. (English) Zbl 1397.37001 Lecture Notes in Mathematics 2206. Cham: Springer (ISBN 978-3-319-72178-1/pbk; 978-3-319-72179-8/ebook). xii, 201 p. (2017). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37-02 37Cxx 37D35 37Bxx 37C30 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{M. Urbański}, Open conformal systems and perturbations of transfer operators. Cham: Springer (2017; Zbl 1397.37001) Full Text: DOI
Mihailescu, Eugen; Urbański, Mariusz Random countable iterated function systems with overlaps and applications. (English) Zbl 1353.37111 Adv. Math. 298, 726-758 (2016). Reviewer: George Stoica (Saint John) MSC: 37H15 37F40 28A80 28D05 37C45 37A35 PDFBibTeX XMLCite \textit{E. Mihailescu} and \textit{M. Urbański}, Adv. Math. 298, 726--758 (2016; Zbl 1353.37111) Full Text: DOI
Mihailescu, Eugen; Urbański, Mariusz Overlap functions for measures in conformal iterated function systems. (English) Zbl 1339.28011 J. Stat. Phys. 162, No. 1, 43-62 (2016). MSC: 28A80 28D05 37C45 37A35 PDFBibTeX XMLCite \textit{E. Mihailescu} and \textit{M. Urbański}, J. Stat. Phys. 162, No. 1, 43--62 (2016; Zbl 1339.28011) Full Text: DOI arXiv
Szostakiewicz, Michał; Urbański, Mariusz; Zdunik, Anna Stochastics and thermodynamics for equilibrium measures of holomorphic endomorphisms on complex projective spaces. (English) Zbl 1343.37037 Monatsh. Math. 174, No. 1, 141-162 (2014). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F50 32H50 37D35 37C40 28D05 37A25 PDFBibTeX XMLCite \textit{M. Szostakiewicz} et al., Monatsh. Math. 174, No. 1, 141--162 (2014; Zbl 1343.37037) Full Text: DOI
Simmons, David; Urbański, Mariusz Relative equilibrium states and dimensions of fiberwise invariant measures for random distance expanding maps. (English) Zbl 1293.37027 Stoch. Dyn. 14, No. 1, Article ID 1350015, 25 p. (2014). Reviewer: Mohamed Hmissi (Tunis) MSC: 37H99 37D35 37D20 37B25 37C40 PDFBibTeX XMLCite \textit{D. Simmons} and \textit{M. Urbański}, Stoch. Dyn. 14, No. 1, Article ID 1350015, 25 p. (2014; Zbl 1293.37027) Full Text: DOI
Urbański, Mariusz; Zdunik, Anna Equilibrium measures for holomorphic endomorphisms of complex projective spaces. (English) Zbl 1276.37026 Fundam. Math. 220, No. 1, 23-69 (2013). Reviewer: Lorena López Hernanz (Belo Horizonte) MSC: 37D35 32H50 37C40 28D05 37C30 37F50 PDFBibTeX XMLCite \textit{M. Urbański} and \textit{A. Zdunik}, Fundam. Math. 220, No. 1, 23--69 (2013; Zbl 1276.37026) Full Text: DOI
Urbański, Mariusz; Wolf, Christian Ergodic theory of parabolic horseshoes. (English) Zbl 1161.37030 Commun. Math. Phys. 281, No. 3, 711-751 (2008). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D35 28A78 37A99 37C40 37C45 37F35 PDFBibTeX XMLCite \textit{M. Urbański} and \textit{C. Wolf}, Commun. Math. Phys. 281, No. 3, 711--751 (2008; Zbl 1161.37030) Full Text: DOI
Mihailescu, Eugen; Urbański, Mariusz Transversal families of hyperbolic skew-products. (English) Zbl 1148.37018 Discrete Contin. Dyn. Syst. 21, No. 3, 907-928 (2008). MSC: 37D20 37D35 37A35 37C45 PDFBibTeX XMLCite \textit{E. Mihailescu} and \textit{M. Urbański}, Discrete Contin. Dyn. Syst. 21, No. 3, 907--928 (2008; Zbl 1148.37018) Full Text: DOI Link
Stratmann, Bernd O.; Urbański, Mariusz Pseudo-Markov systems and infinitely generated Schottky groups. (English) Zbl 1121.37014 Am. J. Math. 129, No. 4, 1019-1062 (2007). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 37B10 37D35 37A30 37E25 28A80 37C45 37F40 20H10 PDFBibTeX XMLCite \textit{B. O. Stratmann} and \textit{M. Urbański}, Am. J. Math. 129, No. 4, 1019--1062 (2007; Zbl 1121.37014) Full Text: DOI Backlinks: MO
Davie, Alexander M.; Urbański, Mariusz; Zdunik, Anna Maximizing measures on metrizable noncompact spaces. (English) Zbl 1125.37034 Proc. Edinb. Math. Soc., II. Ser. 50, No. 1, 123-151 (2007). MSC: 37F10 37D35 37C40 PDFBibTeX XMLCite \textit{A. M. Davie} et al., Proc. Edinb. Math. Soc., II. Ser. 50, No. 1, 123--151 (2007; Zbl 1125.37034) Full Text: DOI
Urbański, Mariusz Recurrence rates for loosely Markov dynamical systems. (English) Zbl 1122.37019 J. Aust. Math. Soc. 82, No. 1, 39-57 (2007). Reviewer: Akihiko Morimoto (Nagoya) MSC: 37C45 37C40 37F35 37A25 37B20 PDFBibTeX XMLCite \textit{M. Urbański}, J. Aust. Math. Soc. 82, No. 1, 39--57 (2007; Zbl 1122.37019) Full Text: DOI Link
Kotus, Janina; Urbański, Mariusz Geometry and ergodic theory on non-recurrent elliptic functions. (English) Zbl 1092.37025 J. Anal. Math. 93, 35-102 (2004). Reviewer: M. Denker (Göttingen) MSC: 37F10 37A25 37C40 37F50 PDFBibTeX XMLCite \textit{J. Kotus} and \textit{M. Urbański}, J. Anal. Math. 93, 35--102 (2004; Zbl 1092.37025) Full Text: DOI
Urbański, Mariusz Optimal periodic orbits for non-recurrent rational functions. (English) Zbl 1056.37062 Bull. Pol. Acad. Sci., Math. 51, No. 2, 175-184 (2003). Reviewer: Chung-Chun Yang (Kowloon) MSC: 37F10 37D20 37C27 37C50 37A35 PDFBibTeX XMLCite \textit{M. Urbański}, Bull. Pol. Acad. Sci., Math. 51, No. 2, 175--184 (2003; Zbl 1056.37062)
Simon, K.; Solomyak, B.; Urbański, M. Hausdorff dimension of limit sets for parabolic IFS with overlaps. (English) Zbl 1046.37014 Pac. J. Math. 201, No. 2, 441-478 (2001). MSC: 37C45 37A99 28A78 11K50 37D20 37E05 60G30 PDFBibTeX XMLCite \textit{K. Simon} et al., Pac. J. Math. 201, No. 2, 441--478 (2001; Zbl 1046.37014) Full Text: DOI
Simon, K.; Solomyak, B.; Urbański, M. Invariant measures for parabolic IFS with overlaps and random continued fractions. (English) Zbl 0987.37075 Trans. Am. Math. Soc. 353, No. 12, 5145-5164 (2001). Reviewer: Roland Girgensohn (Neuherberg) MSC: 37C45 11K50 28A78 37A99 37D20 37E05 37L30 60G30 PDFBibTeX XMLCite \textit{K. Simon} et al., Trans. Am. Math. Soc. 353, No. 12, 5145--5164 (2001; Zbl 0987.37075) Full Text: DOI
Mauldin, R. D.; Urbański, M. Parabolic iterated function systems. (English) Zbl 0982.37045 Ergodic Theory Dyn. Syst. 20, No. 5, 1423-1447 (2000). Reviewer: Thomas Ward (Norwich) MSC: 37F35 37C45 37A99 28A78 30D05 PDFBibTeX XMLCite \textit{R. D. Mauldin} and \textit{M. Urbański}, Ergodic Theory Dyn. Syst. 20, No. 5, 1423--1447 (2000; Zbl 0982.37045) Full Text: DOI
Urbański, Mariusz Hausdorff measures versus equilibrium states of conformal infinite iterated function systems. (English) Zbl 0932.28005 Period. Math. Hung. 37, No. 1-3, 153-205 (1998). MSC: 28A80 37C40 28A78 37A99 PDFBibTeX XMLCite \textit{M. Urbański}, Period. Math. Hung. 37, No. 1--3, 153--205 (1998; Zbl 0932.28005) Full Text: DOI
Urbański, Mariusz Parabolic Cantor sets. (English) Zbl 0895.58036 Fundam. Math. 151, No. 3, 241-277 (1996). Reviewer: G.Swiatek (University Park) MSC: 37C70 37E99 37A99 28A80 28A78 PDFBibTeX XMLCite \textit{M. Urbański}, Fundam. Math. 151, No. 3, 241--277 (1996; Zbl 0895.58036) Full Text: EuDML
Hofbauer, Franz; Urbański, Mariusz Fractal properties of invariant subsets for piecewise monotonic maps on the interval. (English) Zbl 0827.58036 Trans. Am. Math. Soc. 343, No. 2, 659-673 (1994). Reviewer: M.Denker (Göttingen) MSC: 37C70 37A99 54C70 28D05 PDFBibTeX XMLCite \textit{F. Hofbauer} and \textit{M. Urbański}, Trans. Am. Math. Soc. 343, No. 2, 659--673 (1994; Zbl 0827.58036) Full Text: DOI
Aaronson, Jon; Denker, Manfred; Urbański, Mariusz Ergodic theory for Markov fibred systems and parabolic rational maps. (English) Zbl 0789.28010 Trans. Am. Math. Soc. 337, No. 2, 495-548 (1993). Reviewer: U.Krengel (Göttingen) MSC: 28D05 30C99 37A99 37C70 60F05 PDFBibTeX XMLCite \textit{J. Aaronson} et al., Trans. Am. Math. Soc. 337, No. 2, 495--548 (1993; Zbl 0789.28010) Full Text: DOI
Denker, M.; Urbański, M. On Sullivan’s conformal measures for rational maps of the Riemann sphere. (English) Zbl 0722.58028 Nonlinearity 4, No. 2, 365-384 (1991). MSC: 37A99 37C70 28D05 28D20 30C99 28A75 PDFBibTeX XMLCite \textit{M. Denker} and \textit{M. Urbański}, Nonlinearity 4, No. 2, 365--384 (1991; Zbl 0722.58028) Full Text: DOI