Prof. Dr. Zoltán Balogh

Published papers

•  Functional inequalities and Hamilton-Jacobi Equations in Geodesic Spaces. With Alexandre Engoulatov, Lars Hunziker, Outi Elina Maasalo. Potential Analysis, 36 (2012), 317--337. http://link.springer.com/article/10.1007%2Fs11118-011-9232-2     



• Uniformly quasiregular maps on the compactified Heisenberg group. With Katrin Fässler, Kirsi Peltonen. Journal of Geometric Analysis, 22, (2012), 633-665. http://www.springerlink.com/content/85122744m457424h/

• Modulus of Curve Families and Extremality of Spiral-Stretch Maps. With Katrin Fässler and Ioannis D. Platis.  Journal d'Analyse Mathématique, 113 (2011), 265--291. http://www.springerlink.com/content/f23n3330449440v3/

• Exceptional Sets for Self-similar Fractals in Carnot Groups. With Reto Berger, Roberto Monti and Jeremy T. Tyson. Mathematical Proceedings of the Cambridge Philosophical Society (2010), 149: 147-172. http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7791501

• Rectifiability and Lipschitz extensions into the Heisenberg group. With Katrin S. Fässler. Mathematische Zeitschrift, 263 (2009), no. 3, 673-683. http://www.springerlink.com/content/t47p054260626667/

• Sub-Riemannian vs. Euclidean dimension
  comparison and fractal geometry on Carnot groups. With Jeremy T. Tyson, Ben Warhurst. Adv. Math. 220 (2009), no. 2, 560-619. http://www.sciencedirect.com/science/article/pii/S0001870808002740

• Gromov's dimension comparison problem on Carnot groups. With Jeremy T. Tyson, Ben Warhurst. C. R. Math. Acad. Sci. Paris 346 (2008), no. 3-4, 135-138.

•  Self-similar sets in doubling spaces. With Heiner Rohner. Illinois J. Math. 51 (2007), no. 4, 1275-1297

• Absolute continuity of quasiconformal mappings on curves. With P. Koskela and S. Rogovin. Geom. Funct. Anal. 17 (2007), no. 3, 645-664

• Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group. With Regula Hoefer-Isenegger, Jeremy T. Tyson. Ergodic Theory Dynam. Systems 26 (2006), no. 3, 621 - 651.

• Scaled-oscillation and regularity. With Marianna Csörnyei. Proc. Amer. Math. Soc. 134 (2006), no. 9, 2667 - 2675.

• Sphericalization and flattening. With S. Buckley. Conform. Geom. Dyn. 9 (2005), 76 - 101 (electronic).

• Hausdorff dimension of self-similar and self-affine fractals in the Heisenberg group. With J. Tyson. Proc. London Math. Soc. (3) 91 (2005), no. 1, 153 - 183.

• The Stepanov differentiability theorem in metric measure spaces. With Kevin Rogovin and Thomas Zuercher. Journal of Geometric Analysis, 2004, 405 - 422.

• Regularity of convex functions on Heisenberg groups. With M. Rickly. Ann. Scuola Norm. Sup. Pisa Cl. Sci (5), Vol. II (2003), 847 - 868.

• Transversal R^d-actions on CR-manifolds and embeddability. With Ch. Leuenberger. Tohoku Math. J. (2) 55 (2003), no. 4, 507 - 527.

• Accessible domains in the Heisenberg group. With R. Monti. Proc. Amer. Math. Soc. 132 (2004), no. 1, 97 - 106.

• Fundamental solution for the Q-Laplacian and sharp Moser-Trudinger inequality in Carnot groups. With J. Manfredi and J. Tyson. J. Funct. Anal. 204 (2003), 35 - 49.

• Size of characteristic sets and functions with prescribed gradients. J. für die Reine und Angewandte Mathematik 564 (2003), 63 - 83.

• Geometric charaterizations of Gromov hyperbolicity. With S.M. Buckley. Inventiones Math. 153 (2003), 261 - 301.

• Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric. With M. Rickly and F. Serra Cassano. Publicacions Math. 47 (2003), 237 - 259.

• Potential theory in Carnot groups. With J. Tyson. Amer. Math. Soc. Contemp. Math. 320 (2003), 15 - 27.

• Singular solutions, homogeneous norms and quasiconformal mappings in Carnot groups. With I. Holopainen and J. Tyson. Math. Ann. 324 (2002), no. 1, 159 - 186.

• Polar coordinates on Carnot groups. With J. Tyson. Math. Z. 241 (2002), no. 4, 697 - 730.

• Hausdorff dimension distribution of quasiconformal mappings on the Heisenberg group. J. Anal. Math. 83 (2001), 289 - 312.

• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains. With M. Bonk. Comment. Math. Helv. 75 (2000), no. 3, 504 - 533.

• Lempert mappings and holomorphic motions in C^n. With K. Astala and H. M. Reimann. Géométrie complexe et systèmes dynamiques (Orsay, 1995). Astérisque No. 261 (2000), xi, 1 - 12.

• Quasiconformality, quasisymmetry, and removability in Loewner spaces. With P. Koskela. With an appendix by Jussi Väisälä. Duke Math. J. 101 (2000), no. 3, 554 - 577.

• Quasiconformal contactomorphisms and polynomial hulls with convex fibers. With Ch. Leuenberger. Canad. J. Math. 51 (1999), no. 5, 915 - 935.

• Equivariant contactomorphisms of circular surfaces. Houston J. Math. 25 (1999), no. 2, 259 - 266.

• Pseudoconvexity and Gromov hyperbolicity. With M. Bonk. C. R. Acad. Sci. Paris Sér. I, Math. 328 (1999), no. 7, 597 - 602.

• Lengths of radii under conformal maps of the unit disc. With M. Bonk. Proc. Amer. Math. Soc. 127 (1999), no. 3, 801 - 804.

• Higher-dimensional Riemann maps. With Ch. Leuenberger. Internat. J. Math. 9 (1998), no. 4, 421 - 442.

• Conformally maximal polynomial-like dynamics and invariant harmonic measure. With I. Popovici and A. Volberg. Ergodic Theory Dynam. Systems 17 (1997), no. 1, 1 - 27.

• Lempert mappings and symplectic forms. With Ch. Leuenberger. Proc. Amer. Math. Soc. 125 (1997), no. 11, 3289 - 3292.

• Boundary Harnack principle for separated semihyperbolic repellers, harmonic measure applications. With A. Volberg. Rev. Mat. Iberoamericana 12 (1996), no. 2, 299 - 336.

• Geometric localization, uniformly John property and separated semihyperbolic dynamics. With A. Volberg. Ark. Mat. 34 (1996), no. 1, 21 - 49.

Current PhD Students

Name / Titel

Dr. Kinga Sipos

Funktion

Assistentin / Postdoc

Mail

kinga.sipos@math.unibe.ch

Telefon

+41 31 684 38 17

Current PhD Students