吴昊
教授
单位: 清华丘成桐数学科学中心, 北京雁栖湖应用数学研究院
团队: 统计、概率和数据科学
邮箱: haowu@tsinghua.edu.cn
研究方向: 概率论
个人简介
Hao Wu obtained her bachelor’s degree from Tsinghua University in 2009 and obtained her PhD from University of Paris-sud in 2013. She was a C.L.E. Moore instructor at MIT from 2013 to 2015 and was a postdoc researcher at Geneva University from 2015 to 2017. In 2017, she came back to Tsinghua University as a professor.
Hao Wu works on statistical physical models such as stochastic process Schramm-Loewner Evolution, Gaussian free field and Ising model. Hao Wu’s series of works find the scaling limits of a general class of boundary-to-boundary connection probabilities and multiple interfaces in the 2-dimensional critical lattice models. They verified predictions from the physics literature and provided evidence of the expected conformal field theory of these models.
出版物
- [1] C Gu, J Jiang, Y Peres, Z Shi, H Wu, F Yang, Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes, arXiv preprint arXiv:2407.15162 (2024)
- [2] C Gu, J Jiang, Y Peres, Z Shi, H Wu, F Yang, Speed of random walk on dynamical percolation in nonamenable transitive graphs, arXiv preprint arXiv:2407.15079 (2024)
- [3] Y Han, M Liu, H Wu, Hypergeometric SLE with$κ=8$: Convergence of UST and LERW in topological rectangles, Annales de l'Institut Henri Poincare (B) Probabilites et statistiques, 61(2) (2025)
- [4] MINGCHANG LIU, EVELIINA PELTOLA, HAO WU, UNIFORM SPANNING TREE IN TOPOLOGICAL POLYGONS, PARTITION FUNCTIONS FOR SLE(8), AND CORRELATIONS IN c=−2 LOGARITHMIC CFT, The Annals of Probability, 53(1), 23-78 (2025)
- [5] M Liu, E Peltola, H Wu, Uniform spanning tree in topological polygons, partition functions for SLE(8), and correlations in$c=−2$logarithmic CFT, The Annals of Probability, 53(1), 23-78 (2025)
- [6] Y. Feng, M. Liu, E. Peltola, H. Wu, Multiple SLEs for κ ∈ (0, 8): Coulomb gas integrals and pure partition functions, arXiv:2406.06522 (2024)
- [7] Y Feng, M Liu, E Peltola, H Wu, Multiple SLEs for$\kappa\in (0,8)$: Coulomb gas integrals and pure partition functions, arXiv (2024)
- [8] Y Feng, H Wu, L Yang, Multiple Ising Interfaces in Annulus and 2-Sided Radial SLE, International Mathematics Research Notices, 2024(6), 5326-5372 (2024)
- [9] E. Krusell, Y. Wang, H. Wu, Commutation relations for two-sided radial SLE, arXiv:2405.07082 (2024)
- [10] Yu Feng, Hao Wu, Radial BPZ equations and partition functions of FK-Ising interfaces conditional on one-arm event, arXiv:2411.16051 (2024)
- [11] Yu Feng, Hao Wu∗, and Lu Yang, Multiple Ising Interfaces in Annulus and 2N-Sided Radial SLE, International Mathematics Research Notices, 2024(6), 5326-5372 (2024)
- [12] Yu Feng, Eveliina Peltola, Hao Wu, Connection probabilities of multiple FK-Ising interfaces, Probability Theory and Related Fields (2024) 189:281–367 (2024)
- [13] Titus Lupu, Hao Wu, A level line of the Gaussian free field with measure-valued boundary conditions, Sci. China Math., 67(2), 367-404 (2024)
- [14] H. Wu, L. Yang, Multiple SLEs and Dyson Brownian motion: transition density and Green’s function, arXiv:2311.06789. (2023)
- [15] Y. Feng, M. Liu, H. Wu, Decomposition of global 2-SLE for κ ∈ (4, 8) and an application for critical FK-Ising model, arXiv:2310.10234 (2023)
- [16] Eveliina Peltola, Hao Wu, CROSSING PROBABILITIES OF MULTIPLE ISING INTERFACES, The Annals of Applied Probability, 33(4), 3169-3206 (2023)
- [17] Mingchang Liu, Hao Wu, Loop-erased random walk branch of uniform spanning tree in topological polygons, Bernoulli, 29(2), 1555-1577 (2023)
- [18] H Wu, L Yang, Multiple SLEs and Dyson Brownian motion: transition density and Green's function, arXiv (2023)
- [19] J. Ding, M. Wirth, H. Wu, Crossing estimates from metric graph and discrete GFF. , Ann. Inst. H. Poincar ́e Probab. Statist., 58(3), 1740-1774 (2022)
- [20] Mingchang Liu, Hao Wu, Scaling limits of crossing probabilities in metric graph GFF, Electron. J. Probab., 26(37), 1-46 (2021)
- [21] VINCENT BEFFARA, EVELIINA PELTOLA AND HAO WU, ON THE UNIQUENESS OF GLOBAL MULTIPLE SLES, The Annals of Probability, 49(1), 400-434 (2021)
- [22] J Ding, M Wirth, H Wu, Crossing estimates from metric graph and discrete GFF, arXiv (2020)
- [23] C Garban, H Wu, On the Convergence of FK–Ising Percolation to$\mathrm {SLE}(16/3, (16/3)-6)$SLE(16/3,(16/3)-6), Journal of Theoretical Probability, 33(2), 828-865 (2020)
- [24] Y. Han, M. Liu, H. Wu, Hypergeometric SLE with κ = 8: convergence of UST and LERW in topological rectangles, accepted by Ann. Inst. H. Poincar ́e Probab. Statist. (2020)
- [25] E Peltola, H Wu, Global and Local Multiple SLEs for${\kappa \leq 4}$and Connection Probabilities for Level Lines of GFF, Communications in Mathematical Physics, 366(2), 469-536 (2019)
- [26] H Wu, Alternating arm exponents for the critical planar Ising model, The Annals of Probability, 46(5), 2863-2907 (2018)
- [27] H Wu, Polychromatic arm exponents for the critical planar FK-Ising model, Journal of Statistical Physics, 170(6), 1177-1196 (2018)
- [28] H Wu, Hypergeometric SLE: Conformal Markov Characterization and Applications, arXiv (2017)
- [29] S Sheffield, SS Watson, H Wu, Simple CLE in doubly connected domains, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 53(2) (2017)
- [30] E Powell, H Wu, Level lines of the Gaussian Free Field with general boundary data, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 53(4) (2017)
- [31] M Wang, H Wu, Level lines of Gaussian free field I: zero-boundary GFF, Stochastic Processes and their Applications, 127(4), 1045-1124 (2017)
- [32] J Miller, H Wu, Intersections of SLE paths: the double and cut point dimension of SLE, Probability Theory and Related Fields, 167(1), 45-105 (2017)
- [33] H Wu, Convergence of the Critical Planar Ising Interfaces to Hypergeometric SLE, arXiv (2016)
- [34] G Pete, H Wu, A conformally invariant growth process of SLE excursions, arXiv (2016)
- [35] H Wu, Boundary arm exponents for SLE, arXiv (2015)
- [36] H Wu, Conformal restriction: the radial case, Stochastic Processes and their Applications, 125(2), 552-570 (2015)
- [37] H Wu, Conformal restriction and Brownian motion, Probability Surveys, 12, 55-103 (2015)
- [38] M Wang, H Wu, Level Lines of Gaussian Free Field II: Whole-Plane GFF, arXiv (2015)
- [39] W Werner, H Wu, On conformally invariant CLE explorations, Communications in Mathematical Physics, 320(3), 637-661 (2013)
- [40] W Werner, H Wu, From CLE (κ) to SLE (κ, ρ)’s, Electron. J. Probab, 18(36), 1-20 (2013)
- [41] H Wu, On the occupation times of Brownian excursions and Brownian loops, Séminaire de Probabilités XLIV, 149-166 (2012)
- [42] C Garban, H Wu, Dust Analysis in FK-Ising Percolation and Convergence to SLE (16/3, 16/3− 6), Unpublished manuscript
更新时间: 2025-07-23 17:53:00