David, Guy; Jeznach, Cole; Julia, Antoine Cantor sets with absolutely continuous harmonic measure. (Ensembles de Cantor avec une mesure harmonique absolument continue.) (English. French summary) Zbl 1527.31003 J. Éc. Polytech., Math. 10, 1277-1298 (2023). MSC: 31A15 35J15 PDFBibTeX XMLCite \textit{G. David} et al., J. Éc. Polytech., Math. 10, 1277--1298 (2023; Zbl 1527.31003) Full Text: DOI arXiv
Dobbs, Neil; Graczyk, Jacek; Mihalache, Nicolae Hausdorff dimension of Julia sets in the logistic family. (English) Zbl 1521.37043 Commun. Math. Phys. 399, No. 2, 673-716 (2023). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F46 37F40 PDFBibTeX XMLCite \textit{N. Dobbs} et al., Commun. Math. Phys. 399, No. 2, 673--716 (2023; Zbl 1521.37043) Full Text: DOI arXiv
Garnett, John Carleson measure estimates and \(\varepsilon\)-approximation for bounded harmonic functions, without Ahlfors regularity assumptions. (English) Zbl 1503.31006 Rev. Mat. Iberoam. 38, No. 1, 323-351 (2022). MSC: 31B05 28A75 PDFBibTeX XMLCite \textit{J. Garnett}, Rev. Mat. Iberoam. 38, No. 1, 323--351 (2022; Zbl 1503.31006) Full Text: DOI arXiv
David, Guy; Mayboroda, Svitlana Good elliptic operators on Cantor sets. (English) Zbl 1479.35284 Adv. Math. 383, Article ID 107687, 21 p. (2021). Reviewer: Stamatis Pouliasis (Thessaloniki) MSC: 35J15 35J08 31A15 35J25 PDFBibTeX XMLCite \textit{G. David} and \textit{S. Mayboroda}, Adv. Math. 383, Article ID 107687, 21 p. (2021; Zbl 1479.35284) Full Text: DOI arXiv
Azzam, Jonas Dimension drop for harmonic measure on Ahlfors regular boundaries. (English) Zbl 1452.31006 Potential Anal. 53, No. 3, 1025-1041 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 31A15 28A75 28A78 31B05 35J25 PDFBibTeX XMLCite \textit{J. Azzam}, Potential Anal. 53, No. 3, 1025--1041 (2020; Zbl 1452.31006) Full Text: DOI arXiv
Akman, Murat; Lewis, John; Vogel, Andrew \(\sigma\)-finiteness of elliptic measures for quasilinear elliptic PDE in space. (English) Zbl 1372.35090 Adv. Math. 309, 512-557 (2017). MSC: 35J25 35J70 37F35 28A78 35K59 PDFBibTeX XMLCite \textit{M. Akman} et al., Adv. Math. 309, 512--557 (2017; Zbl 1372.35090) Full Text: DOI arXiv
Serkh, Kirill; Rokhlin, Vladimir On the solution of elliptic partial differential equations on regions with corners. (English) Zbl 1349.35049 J. Comput. Phys. 305, 150-171 (2016). MSC: 35C05 35J25 31B35 35C10 PDFBibTeX XMLCite \textit{K. Serkh} and \textit{V. Rokhlin}, J. Comput. Phys. 305, 150--171 (2016; Zbl 1349.35049) Full Text: DOI
Akman, Murat; Lewis, John; Vogel, Andrew Hausdorff dimension and \(\sigma\) finiteness of \(p\) harmonic measures in space when \(p \geq n\). (English) Zbl 1326.28005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 198-216 (2015). MSC: 28A78 31C05 PDFBibTeX XMLCite \textit{M. Akman} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 198--216 (2015; Zbl 1326.28005) Full Text: DOI arXiv
Hansen, Wolfhard; Netuka, Ivan Unavoidable sets and harmonic measures living on small sets. (English) Zbl 1307.31012 Proc. Lond. Math. Soc. (3) 109, No. 6, 1601-1629 (2014). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 31D05 60J25 60J65 PDFBibTeX XMLCite \textit{W. Hansen} and \textit{I. Netuka}, Proc. Lond. Math. Soc. (3) 109, No. 6, 1601--1629 (2014; Zbl 1307.31012) Full Text: DOI arXiv
Lewis, John L.; Nyström, Kaj; Vogel, Andrew On the dimension of \(p\)-harmonic measure in space. (English) Zbl 1282.35149 J. Eur. Math. Soc. (JEMS) 15, No. 6, 2197-2256 (2013). MSC: 35J25 35J70 28A78 PDFBibTeX XMLCite \textit{J. L. Lewis} et al., J. Eur. Math. Soc. (JEMS) 15, No. 6, 2197--2256 (2013; Zbl 1282.35149) Full Text: DOI
Lewis, J. Applications of boundary Harnack inequalities for \(p\) harmonic functions and related topics. (English) Zbl 1250.35002 Gianazza, Ugo (ed.) et al., Regularity estimates for nonlinear elliptic and parabolic problems. Notes of the CIME course, Cetraro, Italy, June 22–27, 2009. Berlin: Springer; Firenze: Fondazione CIME Roberto Conti (ISBN 978-3-642-27144-1/pbk; 978-3-642-27145-8/ebook). Lecture Notes in Mathematics 2045, 1-72 (2012). Reviewer: Vincenzo Vespri (Firenze) MSC: 35-02 35B65 35J67 35J92 PDFBibTeX XMLCite \textit{J. Lewis}, Lect. Notes Math. 2045, 1--72 (2012; Zbl 1250.35002) Full Text: DOI
Lewis, John L.; Nyström, Kaj; Poggi-Corradini, Pietro \(p\) harmonic measure in simply connected domains. (English. French summary) Zbl 1241.35071 Ann. Inst. Fourier 61, No. 2, 689-715 (2011). Reviewer: Stephen J. Gardiner (Dublin) MSC: 35J60 31A15 35Q92 35D30 35R06 PDFBibTeX XMLCite \textit{J. L. Lewis} et al., Ann. Inst. Fourier 61, No. 2, 689--715 (2011; Zbl 1241.35071) Full Text: DOI arXiv EuDML
Barral, Julien; Loiseau, Patrick Large deviations for the local fluctuations of random walks. (English) Zbl 1228.60034 Stochastic Processes Appl. 121, No. 10, 2272-2302 (2011). Reviewer: Josef Steinebach (Köln) MSC: 60F10 60F15 60G10 60G17 PDFBibTeX XMLCite \textit{J. Barral} and \textit{P. Loiseau}, Stochastic Processes Appl. 121, No. 10, 2272--2302 (2011; Zbl 1228.60034) Full Text: DOI arXiv HAL
Kenig, C.; Preiss, D.; Toro, T. Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. (English) Zbl 1206.28002 J. Am. Math. Soc. 22, No. 3, 771-796 (2009). MSC: 28A33 28A75 31A15 PDFBibTeX XMLCite \textit{C. Kenig} et al., J. Am. Math. Soc. 22, No. 3, 771--796 (2009; Zbl 1206.28002) Full Text: DOI arXiv
Batakis, Athanasios Dimension of the harmonic measure of non-homogeneous Cantor sets. (English) Zbl 1113.31001 Ann. Inst. Fourier 56, No. 6, 1617-1631 (2006). Reviewer: Uta Freiberg (Canberra) MSC: 31A15 28A80 PDFBibTeX XMLCite \textit{A. Batakis}, Ann. Inst. Fourier 56, No. 6, 1617--1631 (2006; Zbl 1113.31001) Full Text: DOI arXiv Numdam EuDML
Urbanski, Mariusz Measures and dimensions in conformal dynamics. (English) Zbl 1031.37041 Bull. Am. Math. Soc., New Ser. 40, No. 3, 281-321 (2003). Reviewer: Mike Hurley (Cleveland) MSC: 37F35 37F10 37F30 37F15 37-02 PDFBibTeX XMLCite \textit{M. Urbanski}, Bull. Am. Math. Soc., New Ser. 40, No. 3, 281--321 (2003; Zbl 1031.37041) Full Text: DOI
Urbański, Mariusz; Zdunik, Anna Hausdorff dimension of harmonic measure for self-conformal sets. (English) Zbl 1020.37008 Adv. Math. 171, No. 1, 1-58 (2002). Reviewer: Michael L.Blank (Nice) MSC: 37C45 37A50 PDFBibTeX XMLCite \textit{M. Urbański} and \textit{A. Zdunik}, Adv. Math. 171, No. 1, 1--58 (2002; Zbl 1020.37008) Full Text: DOI Link
Di Biase, Fausto; Fischer, Bert; Urbanke, Rüdiger L. Twist points of the von Koch snowflake. (English) Zbl 0892.31002 Proc. Am. Math. Soc. 126, No. 5, 1487-1490 (1998). Reviewer: Bo Kjellberg (Colonnella) MSC: 31A15 30C35 PDFBibTeX XMLCite \textit{F. Di Biase} et al., Proc. Am. Math. Soc. 126, No. 5, 1487--1490 (1998; Zbl 0892.31002) Full Text: DOI
Benjamini, Itai On the support of harmonic measure for the random walk. (English) Zbl 0882.60068 Isr. J. Math. 100, 1-6 (1997). Reviewer: W.König (Berlin) MSC: 60G50 PDFBibTeX XMLCite \textit{I. Benjamini}, Isr. J. Math. 100, 1--6 (1997; Zbl 0882.60068) Full Text: DOI
Bishop, Christoper J.; Jones, Peter W. Harmonic measure, \(L^ 2\) estimates and the Schwarzian derivative. (English) Zbl 0801.30024 J. Anal. Math. 62, 77-113 (1994). Reviewer: C.Pommerenke (Berlin) MSC: 30C85 PDFBibTeX XMLCite \textit{C. J. Bishop} and \textit{P. W. Jones}, J. Anal. Math. 62, 77--113 (1994; Zbl 0801.30024) Full Text: DOI
Lawler, Gregory F. A discrete analogue of a theorem of Makarov. (English) Zbl 0799.60062 Comb. Probab. Comput. 2, No. 2, 181-199 (1993). Reviewer: A.Yu.Rashkovsky (Khar’kov) MSC: 60G50 31A15 60J65 PDFBibTeX XMLCite \textit{G. F. Lawler}, Comb. Probab. Comput. 2, No. 2, 181--199 (1993; Zbl 0799.60062) Full Text: DOI
Wolff, Thomas H. Plane harmonic measures live on sets of \(\sigma\)-finite length. (English) Zbl 0809.30007 Ark. Mat. 31, No. 1, 137-172 (1993). Reviewer: D.A.Brannan (Milton Keynes) MSC: 30C35 31A15 PDFBibTeX XMLCite \textit{T. H. Wolff}, Ark. Mat. 31, No. 1, 137--172 (1993; Zbl 0809.30007) Full Text: DOI
Carleson, Lennart; Jones, Peter W. On coefficient problems for univalent functions and conformal dimension. (English) Zbl 0765.30005 Duke Math. J. 66, No. 2, 169-206 (1992). Reviewer: W.Koepf (Berlin) MSC: 30C55 PDFBibTeX XMLCite \textit{L. Carleson} and \textit{P. W. Jones}, Duke Math. J. 66, No. 2, 169--206 (1992; Zbl 0765.30005) Full Text: DOI
Picardello, Massimo A.; Taibleson, Mitchell H.; Woess, Wolfgang Harmonic measure of the planar Cantor set from the viewpoint of graph theory. (English) Zbl 0782.05085 Discrete Math. 109, No. 1-3, 193-202 (1992). MSC: 05C99 03E05 31A15 28A78 60G50 PDFBibTeX XMLCite \textit{M. A. Picardello} et al., Discrete Math. 109, No. 1--3, 193--202 (1992; Zbl 0782.05085) Full Text: DOI
Jones, Peter W.; Wolff, Thomas H. Hausdorff dimension of harmonic measures in the plane. (English) Zbl 0667.30020 Acta Math. 161, No. 1-2, 131-144 (1988). Reviewer: B.Øksendal MSC: 30C85 31A15 PDFBibTeX XMLCite \textit{P. W. Jones} and \textit{T. H. Wolff}, Acta Math. 161, No. 1--2, 131--144 (1988; Zbl 0667.30020) Full Text: DOI
Øksendal, Bernt Dirichlet forms, quasiregular functions and Brownian motion. (English) Zbl 0639.30017 Invent. Math. 91, No. 2, 273-297 (1988). Reviewer: B.Øksendal MSC: 30C62 60J45 60J60 60J65 PDFBibTeX XMLCite \textit{B. Øksendal}, Invent. Math. 91, No. 2, 273--297 (1988; Zbl 0639.30017) Full Text: DOI EuDML
Przytycki, Feliks Riemann map and holomorphic dynamics. (English) Zbl 0616.58029 Invent. Math. 85, 439-455 (1986). Reviewer: M.Lyubich MSC: 37C70 58C35 PDFBibTeX XMLCite \textit{F. Przytycki}, Invent. Math. 85, 439--455 (1986; Zbl 0616.58029) Full Text: DOI EuDML
Pommerenke, Ch. On conformal mapping and linear measure. (English) Zbl 0604.30029 J. Anal. Math. 46, 231-238 (1986). Reviewer: B.Øksendal MSC: 30C85 30E25 31A15 PDFBibTeX XMLCite \textit{Ch. Pommerenke}, J. Anal. Math. 46, 231--238 (1986; Zbl 0604.30029) Full Text: DOI