List of Publications

  1. Quasisymmetric Embedding of Self Similar Surfaces and Origami with Rational Maps [pdf]

    Ann. Acad. Sci. Fenn. Math. 27 (2002), no. 2, 461 – 484.

  2. Melting Snowballs.

    PhD thesis, University of Washington, 2004.

  3. Dimension of elliptic harmonic measure of snowballs [arXiv]

    Illinois J. Math. 53 (2009), no. 2, 691 – 721.

  4. Snowballs are Quasiballs [arXiv]

    Trans. Amer. Math. Soc. 362 (2010), no. 3, 1247 – 1300.

  5. Eine Fields-Medaille für Stas Smirnov

    with D. Schleicher,
    Mitt. Dtsch. Math.-Ver. 18 (2010), no. 4, 209 – 213.

  6. Bounded turning circles are weak-quasicircles [arXiv]

    Proc. Amer. Math. Soc. Vol. 139, No 5, (2011), 1751 – 1761.

  7. Ein neues Standbein für die statistische Physik

    with D. Schleicher,
    Spektrum der Wissenschaft, September 2011, 58 – 65.

  8. On the notions of mating [arXiv]

    with C. L. Petersen,
    Ann. Fac. Sci. Toulouse Math. (6) 21 (2012), no. 5, 839 – 876.

  9. Quasicircles and bounded turning circles modulo bi-Lipschitz maps [arXiv]

    with D. Herron,
    Rev. Mat. Iberoam. 28 (2012), no. 3, 603 – 630.

  10. Ein Physiker besucht einen Mathematiker

    with Tadashi Tokieda,
    Mitt. Dtsch. Math.-Ver. 20 (2012) 229 – 233.

  11. Matings questions

    with X. Buff, A. L. Epstein, S. Koch, K. Pilgrim, M. Rees, and Tan Lei,
    Ann. Fac. Sci. Toulouse Math. (6) 21 (2012), no. 5, 1149 – 1176.

  12. Un nuevo pilar para la física estadística

    with D. Schleicher,
    Investigacion y Ciencia, March 2012.

  13. Invariant Peano curves of expanding Thurston maps [arXiv]

    Acta Math. 210 (1), 2013, 95 – 171.

  14. Unmating of rational maps, sufficient criteria and examples, in Frontiers in Complex Dynamics: In Celebration of John Milnor’s 80th Birthday [arXiv]

    ed. by A. Bonifant, M. Lyubich and S. Sutherland,
    Princeton University Press, 2014, 197 – 234.

  15. Expanding Thurston maps [arXiv]
    Draft of the latest version.

    with M. Bonk,
    to appear in AMS, Mathematical Surveys and Monographs
    (research monograph).

  16. Expanding Thurston maps as quotients [arXiv]

    preprint.