University Assistant (postdoctoral) at University of Vienna
Previously I was Research Associate at University of Cambridge. I obtained my Ph.D. at TU Berlin.
Research area: probability and complex analysis, random conformal geometry. Interests: Schramm-Löwner evolution and conformal loop ensembles, Löwner chains, planar percolation, random planar maps, diffusions on random fractals.
I. Đanković, M. Markering, J. Miller, Y. Yuan (2026+): The scaling limit of random walk and the intrinsic metric on planar critical percolation. ArXiv e-prints, arXiv:2604.14122 [math.PR].
J. Miller and Y. Yuan (2026+): Minkowski content construction of the CLE gasket measure. ArXiv e-prints, arXiv:2604.13845 [math.PR].
J. Miller and Y. Yuan (2025+): Existence and uniqueness of the canonical Brownian motion in non-simple conformal loop ensemble gaskets. ArXiv e-prints, arXiv:2512.04807 [math.PR].
J. Miller and Y. Yuan (2025+): Existence and uniqueness of the conformally covariant geodesic metric on non-simple conformal loop ensemble gaskets. ArXiv e-prints, arXiv:2508.10470 [math.PR].
V. Ambrosio, J. Miller, and Y. Yuan (2025+): Tightness of approximations to metrics on non-simple conformal loop ensemble gaskets. ArXiv e-prints, arXiv:2507.15589 [math.PR].
V. Ambrosio, J. Miller, and Y. Yuan (2025+): Multiple SLE_\kappa from CLE_\kappa. ArXiv e-prints, arXiv:2503.08958 [math.PR].
N. Holden and Y. Yuan (2026): Regularity of the Schramm-Loewner evolution: Up-to-constant variation and modulus of continuity. Ann. Probab. 54 (1) 367–420.
V. Margarint, A. Shekhar, and Y. Yuan (2024): On Loewner chains driven by semimartingales and complex Bessel-type SDEs. Ann. Appl. Probab. 34(6): 5258–5286.
O. Butkovsky, V. Margarint, and Y. Yuan (2023): Law of the SLE tip. Electron. J. Probab. 28: 1–25.
Y. Yuan (2025): Refined regularity of SLE. Ann. Inst. Henri Poincaré Probab. Stat. 61(1): 599–628.
Y. Yuan (2022): Topological characterisations of Loewner traces. Indiana Univ. Math. J. 71 No. 3, 1027–1046.
P. K. Friz, H. Tran, and Y. Yuan (2021): Regularity of SLE in $(t,\kappa)$ and refined GRR estimates. Probab. Theory Related Fields, 180(1-2):71–112.
H. Tran and Y. Yuan (2020): A support theorem for SLE curves. Electron. J. Probab., 25:1–18.
Summer 2026: Advanced Probability Theory
Lent 2024: Schramm-Loewner Evolutions
Summer 2021: Wahrscheinlichkeitstheorie III (TA + 4 lecture classes)
Winter 2020/21: Analysis III (TA)
Summer 2020: Rough Stochastic Analysis I (TA)
Summer 2020: Analysis III (TA)
Winter 2019/20: Analysis II (TA)
Summer 2019: Maß- und Integrationstheorie (TA)
Winter 2018/19: Analysis I und Lineare Algebra (TA)
Statistical Physics and Random Surfaces, Oberwolfach, 12–17 May 2024.
Talk: The chemical distance metric for non-simple CLE.
Random Conformal Geometry and Related Fields in Jeju, Jeju Island, Korea, 05–09 June 2023.
Talk: Regularity of SLE trace.
Schramm-Loewner evolution and related topics, University of Pennsylvania, Philadelphia, 18–19 Feb. 2023.
Talk: Regularity of SLE: Up-to-constant variation and modulus of continuity.
14th Oxford-Berlin Meeting, 10–12 Feb. 2021.
Talk: SLE with random time-dependent parameter.
Rainwater Seminar, University of Washington, Seattle, 10 Mar. 2020.
Talk: Topological characterisations of Loewner traces.
10th Oxford-Berlin Meeting, Oxford, 29 Nov.–01 Dec. 2018.
Talk: A multiparameter Garsia-Rodemich-Rumsey inequality and application to SLE.
Contact:
Fakultät für Mathematik
Universität Wien
Oskar-Morgenstern-Platz 1
1090 Wien
AUSTRIA
Tel.: +43 1 4277-50794
yizheng.yuan ät univie döt ac döt at
Last updated 19 Aug 2026