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Ang M, Holden N, Sun X. The SLE loop via conformal welding of quantum disks. ELECTRON J PROBAB 2023. [DOI: 10.1214/23-ejp914] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/23/2023]
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Boundary Green’s functions and Minkowski content measure of multi-force-point SLE κ(ρ̲). Stoch Process Their Appl 2022. [DOI: 10.1016/j.spa.2022.06.016] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Gwynne E, Holden N, Sun X. Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense. ELECTRON J PROBAB 2021. [DOI: 10.1214/21-ejp659] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
| | | | - Xin Sun
- University of Pennsylvania, United States of America
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Affiliation(s)
- Dapeng Zhan
- Michigan State University, United States of America
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Gwynne E, Pfeffer J. Connectivity properties of the adjacency graph of $\mathrm{SLE}_{\kappa}$ bubbles for $\kappa\in(4,8)$. ANN PROBAB 2020. [DOI: 10.1214/19-aop1402] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Optimal Hölder continuity and dimension properties for SLE with Minkowski content parametrization. Probab Theory Relat Fields 2018. [DOI: 10.1007/s00440-018-0895-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Benoist S. Natural parametrization of SLE: the Gaussian free field point of view. ELECTRON J PROBAB 2018. [DOI: 10.1214/18-ejp232] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Sheffield S. Conformal weldings of random surfaces: SLE and the quantum gravity zipper. ANN PROBAB 2016. [DOI: 10.1214/15-aop1055] [Citation(s) in RCA: 79] [Impact Index Per Article: 9.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Beneš C, Lawler GF, Viklund F. Scaling limit of the loop-erased random walk Green’s function. Probab Theory Relat Fields 2015. [DOI: 10.1007/s00440-015-0655-3] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Kemppainen A, Werner W. The nested simple conformal loop ensembles in the Riemann sphere. Probab Theory Relat Fields 2015. [DOI: 10.1007/s00440-015-0647-3] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Lawler G, Rezaei M. Up-to-constants bounds on the two-point Green's function for SLE curves. ELECTRONIC COMMUNICATIONS IN PROBABILITY 2015. [DOI: 10.1214/ecp.v20-4246] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Lawler G. The probability that planar loop-erased random walk uses a given
edge. ELECTRONIC COMMUNICATIONS IN PROBABILITY 2014. [DOI: 10.1214/ecp.v19-2908] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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