Papers
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"Phase transition for a family of complex-driven Loewner hulls,"
with J. Utley, Involve, to appear, arXiv:2106.14940.
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"Convergence of the probabilistic interpretation of modulus,"
with N. Albin and P. Poggi-Corradini, submitted, arXiv:2106.11418.
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"Minimizing the determinant of the graph Laplacian,"
with N. Albin and P. Poggi-Corradini, in preparation.
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"The scaling limit of fair Peano curves,"
with N. Albin and P. Poggi-Corradini, submitted, arXiv:2106.10376.
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"Tangential Loewner Hulls,"
Ann. Acad. Sci. Fenn. Math., to appear.
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"Effect of random time changes on Loewner hulls,"
with K. Kobayashi and A. Starnes, Rev. Mat. Iberoam., Rev. Mat. Iberoam. 36 (2020), no 3, 771--790.
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"Loewner deformations driven by the Weierstrass function,"
with J. Robins, Involve, 10 (2017), no 1, 151--164.
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"Regularity of Loewner Curves,"
with H. Tran, Indiana Univ. Math. J. 65 (2016), 1675--1712.
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"Loewner curvature,"
with S. Rohde, Math. Ann. 364 (2016), 1517--1534.
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"Spacefilling curves and phases of the Loewner equation,"
with S. Rohde,
Indiana Univ. Math. J. 61 (2012), no 6, 2231–2249.
- "Collisions and spirals of Loewner traces,"
with D. Marshall and S. Rohde,
Duke Math. J. 154 (2010), no. 3, 527–573.
- "Hölder regularity of the SLE trace,"
Trans. Amer. Math. Soc. 360 (2008), 3557–3578.
- "Two-sided SLE(8/3) and the infinite self-avoiding polygon,"
with G. Lawler, in Universality and
Renormalization: From Stochastic Evolution to Renormalization of Quantum Fields,
I. Binder, D. Kreimer, ed., Amer. Math. Soc. (2007), 249–280.
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"A sharp condition for the Loewner equation to generate slits,"
Ann. Acad. Sci. Fenn. Math. 30 (2005), no. 1, 143–158.
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