9 citations · 19 across the 10 of their papers we have counts for
10 papers
Zeno-Enhanced Probabilistic Error Cancellation with Quantum Error Detection Codes
Yi Yuan, Yuanchen Zhao, Dong E. Liu
Probabilistic error cancellation (PEC) is unbiased but suffers exponential sampling overhead set by noise-weighted circuit volume, whereas quantum error-detecting codes (QEDCs) rem…
The scaling limit of random walk and the intrinsic metric on planar critical percolation
Irina Đanković, Maarten Markering, Jason Miller +1
We consider critical site percolation () on the triangular lattice in two dimensions. We show that the simple random walk on the clusters of open vertices c…
Minkowski content construction of the CLE gasket measure
Jason Miller, Yizheng Yuan
We show that the canonical conformally covariant measure on the conformal loop ensemble (CLE) gasket/carpet, previously constructed indirectly by the first co-author and Schoug…
Regularity of the Schramm-Loewner evolution: Up-to-constant variation and modulus of continuity
Nina Holden, Yizheng Yuan
We find optimal (up to constant) bounds for the following measures for the regularity of the Schramm-Loewner evolution (SLE): variation regularity, modulus of continuity, and law o…
Law of the SLE tip
Oleg Butkovsky, Vlad Margarint, Yizheng Yuan
We analyze the law of the SLE tip at a fixed time in capacity parametrization. We describe it as the stationary law of a suitable diffusion process, and show that it has a density…
Refined regularity of SLE
Yizheng Yuan
We prove refined (variation and Hölder-type) regularity statements for the SLE trace (under capacity parametrisation). More precisely, we show that the trace has finite -variati…
On Loewner chains driven by semimartingales and complex Bessel-type SDEs
Vlad Margarint, Atul Shekhar, Yizheng Yuan
We prove existence (and simpleness) of the trace for both forward and backward Loewner chains under fairly general conditions on semimartingale drivers. As an application, we show…
Topological characterisations of Loewner traces
Yizheng Yuan
The (chordal) Loewner differential equation encodes certain curves in the half-plane (aka traces) by continuous real-valued driving functions. Not all curves are traces; the latter…
Regularity of SLE in and refined GRR estimates
Peter K. Friz, Huy Tran, Yizheng Yuan
Schramm-Loewner evolution (SLE) is classically studied via Loewner evolution with half-plane capacity parametrization, driven by times Brownian motion. This yields a (…
A support theorem for SLE curves
Huy Tran, Yizheng Yuan
For all , we show that the support of SLE curves is the closure in the sup-norm of the set of Loewner curves driven by nice (e.g. smooth) functions. It follows that the s…