Here is a list of my papers:



Conformal welding of dendrites (with P. Lin), preprint


The Loewner energy of loops and regularity of driving functions (with Y. Wang) , preprint


Loewner curvature (with J. Lind), Math. Ann. 364 (2016), no. 3-4, 15171534.


The Loewner equation and Lipschitz graphs (with H. Tran, M. Zinsmeister), Revista Mat. Iberoamericana, to appear


Backward SLE and the symmetry of the welding (with D. Zhan), Probab. Theory Related Fields 164 (2016), no. 3-4, 815863.


Chordal Komatu-Loewner equation and Brownian motion with darning in multiply connected domains (with Z. Chen, M. Fukushima) , Trans. Amer. Math. Soc. 368 (2016), no. 6, 40654114.


A note on quasiconformal maps with Hoelder continuous dilatation (with J. Gill), J. Math. Pures Appl. (9) 103 (2015), no. 1, 291302.


On the continuity of SLE(kappa) in kappa (with F. Johansson-Viklund, C. Wong), Probab. Theory Related Fields 159 (2014), no. 3-4, 413433.


Quasisymmetry and rectifiability of quasispheres (with M. Badger, J. Gill, T. Toro), Trans. Amer. Math. Soc. 366 (2014), no. 3, 14131431.


Half-plane capacity and conformal radius (with C. Wong), Proc. Amer. Math. Soc. 142 (2014), no. 3, 931938.


On the Riemann surface type of random planar maps (with J. Gill), Revista Mat. Iberoamericana, 29 (2013), 1071--1090


Spacefilling curves and phases of the Loewner equation (with J. Lind), Indiana Univ. Math. J. 61 (2012), no. 6, 22312249.


Oded Schramm: From Circle Packing to SLE , Ann. Prob., 39 (2011), 1621-1667, and in Selected works of Oded Schramm, Volume 1, Springer, New York, 2011, 3-45


Collisions and Spirals of Loewner Traces (with J. Lind, D. Marshall), Duke Math. J. 154 (2010), 527-573


Continuity of the SLE trace in simply connected domains (with C. Garban, O. Schramm), Israel J. Math. 187 (2012), 23--36

Quasisymmetric conjugacy between quadratic dynamics and iterated function systems (with I. Eroglu, B. Solomyak), Ergodic Th. Dyn. Syst. 30 (2010), 16651684

Optimal regularity for planar mappings of finite distortion (with K. Astala, J. Gill, E. Saksman), Ann. Inst. H. Poincar Anal. Non Linaire 27 (2010), 119

Schramm-Loewner equations driven by symmetric stable processes (with Z. Chen), Comm. Math. Phys. 285 (2009), 799--824

Convergence of a variant of the Zipper algorithm for conformal mapping
(with D. Marshall), SIAM Journal on Numerical Analysis 45 (2007), 2577--2609


Dimension distortion of hyperbolically convex maps,  Proc. Amer. Math. Soc. 135 (2007), 1169-1173


Some remarks on Laplacian growth (with M. Zinsmeister), Topology Appl. 152 (2005), 2643


The Loewner differential equation and slit mappings (with D. Marshall), J. Amer. Math. Soc. 18 (2005), 763--778


Basic properties of SLE (with O. Schramm), Ann. Math. 161 (2005), 883--924








Boundary Trace of Reflecting Brownian Motions (with I. Benjamini and Z. Chen) Probab. Theory Relat. Fields, 129 (2004), 1--17.


Variation of the conformal radius (with M. Zinsmeister), J. Anal. Math. 92 (2004), 105--115


On the Theorem of Hayman and Wu, Proc. Amer. Math. Soc. 130 (2002), no. 2, 387--394

Doubling Conformal Densities (with M. Bonk and J. Heinonen), J. Reine Angew. Math. 541 (2001), 117-141








Quasicircles modulo bilipschitz maps, Revista Mat. Iberoamericana 17 (2001), 643--659


On Hausdorff measures and SBR measures for parabolic rational maps (with M. Denker), Internat. J. Bifur. Chaos Appl. Sci. Engrg. 9 (1999), no. 9, 1763--1769


Rigidity of holomorphic Collet-Eckmann repellers (with F. Przytycki), Ark. Mat. 37 (1999), no. 2, 357--371


Conformal metrics on the unit ball in euclidean space (with M. Bonk and P. Koskela), Proc. London Math. Soc. 77 (1998), 635-664


Porosity of Collet-Eckmann Julia sets (with F. Przytycki), Fund. Math. 155 (1998), 189-199









Bilipschitz maps and the modulus of rings, Ann. Acad. Sci. Fenn. 22 (1997), 465-474


The Gehring-Hayman inequality in conformal mapping (with Chr. Pommerenke), Quasiconformal mappings and analysis (Ann Arbor, MI, 1995), 309--319

Hausdorff dimension and mean porosity (with P. Koskela), Math. Annalen 309 (1997), 593-609


Compositions of random rational functions,  Complex Variables 29 (1996), 1-7


Koenigsfunctions, BMO and quasicircles (with J. Heinonen),  Duke Math. J. 78 (1995), 301-313


Omitted values in domains of normality (with W. Bergweiler),  Proc. Amer. Math. Soc. 123 (1995), 1857-1858


The Gehring-Hayman inequality for quasihyperbolic geodesics (with J. Heinonen), Math. Proc. Cambridge Phil. Soc. 114
(1993), 393-405


The boundary behaviour of Bloch functions,  J. Lond. Math. Soc. 48 (1993), 488-499


Quasilines and the Hayman-Wu theorem (with K. Astala and J. Fernandez), Indiana Univ. Math. J. 42 (1993), 1077-1100


On conformal welding and quasicircles, Michigan Math. J. 38 (1991), 111-116


Hausdorffmass und Randverhalten analytischer Funktionen, 1989, Dissertation


On an estimate of Makarov in conformal mapping,  Complex Variables 10 (1988), 381-386