Louis Fan - Mathematics
TENURE AND PROMOTION GUIDELINES
Mathematics Department Tenure and Promotion Guidelines
College of Arts and Sciences Tenure Guidelines
PAPERS AND ANNOTATED BIBLIOGRAPHY
Amarjit Budhiraja and Wai-Tong Fan. Uniform in time interacting particle approximations for nonlinear equations of Patlak-Keller-Segel type. Electron. J. Probab., 22:Paper No. 8, 37, 2017.
Amarjit Budhiraja, Wai-Tong Fan, and Ruoyu Wu. Large deviations for Brownian particle systems with killing. J. Theoret. Probab., 31(3):1779– 1818, 2018.
Kin Hang Chan, Wai-Tong Fan, and Ka Ho Law. Pui Ching invitational mathematics competition 2007-2008 questions and answers. Pui Ching Education Center, 2008.
Zhen-Qing Chen and Wai-Tong Fan. Scaling limits of interacting diffusions in domains. Front. Math. China, 9(4):717–736, 2014.
Zhen-Qing Chen and Wai-Tong Fan. Functional central limit theorem for Brownian particles in domains with Robin boundary condition. J. Funct. Anal., 269(12):3765–3811, 2015.
Zhen-Qing Chen and Wai-Tong Fan. Hydrodynamic limits and propagation of chaos for interacting random walks in domains. Ann. Appl. Probab., 27(3):1299–1371, 2017.
Zhen-Qing Chen and Wai-Tong Fan. Systems of interacting diffusions with partial annihilation through membranes. Ann. Probab., 45(1):100– 146, 2017.
Zhen-Qing Chen and Wai-Tong Louis Fan. Fluctuation limit for interacting diffusions with partial annihilations through membranes. J. Stat. Phys., 164(4):890–936, 2016.
Rick Durrett and Wai-Tong Fan. Genealogies in expanding populations. Ann. Appl. Probab., 26(6):3456–3490, 2016.
Wai Tong Fan. Interacting particle systems with partial annihilation through membranes. ProQuest LLC, Ann Arbor, MI, 2014. Thesis (Ph.D.)–University of Washington.
Wai-Tong Fan. Discrete approximations to local times for reflected diffusions. Electron. Commun. Probab., 21:Paper No. 16, 12, 2016.
Wai-Tong Fan, Chanh Kieu, Dimitrios Sakellariou, and Mahashweta Patra. Hitting time of rapid intensification onset in hurricane-like vortices. Physics of Fluids, 33(9):096603, 2021.
Wai-Tong Fan, On Shun Pak, and Mario Sandoval. Ellipsoidal brownian self-driven particles in a magnetic field. Physical Review E, 95(3):1–6, 2017.
Wai-Tong Fan and Sebastien Roch. Necessary and sufficient conditions for consistent root reconstruction in Markov models on trees. Electron. J. Probab., 23:Paper No. 47, 24, 2018.
Wai-Tong Fan and Sebastien Roch. Statistically consistent and computationally efficient inference of ancestral DNA sequences in the TKF91 model under dense taxon sampling. Bull. Math. Biol., 82(2):Paper No. 21, 32, 2020.
Wai-Tong Louis Fan. Stochastic PDEs on graphs as scaling limits of discrete interacting systems. Bernoulli, 27(3):1899–1941, 2021.
Wai-Tong Louis Fan, Wenqing Hu, and Grigory Terlov. Wave propagation for reaction-diffusion equations on infinite random trees. Communications in Mathematical Physics, 384(1):109–163, 2021.
Wai-Tong Louis Fan, Michael Jolly, and Ali Pakzad. Three-dimensional shear driven turbulence with noise at the boundary. Nonlinearity, 34(7):4764–4786, jun 2021.
Wai-Tong Louis Fan, Brandon Legried, and Sebastien Roch. Impossibility of consistent distance estimation from sequence lengths under the TKF91 model. Bull. Math. Biol., 82(9):Paper No. 123, 12, 2020.
Wai-Tong Louis Fan, Brandon Legried, and Sebastien Roch. Impossibility of phylogeny reconstruction from k-mer counts. Annals of Applied Probability, to appear.
Wai-Tong (Louis) Fan and Timo Sepp¨al¨ainen. Joint distribution of Busemann functions in the exactly solvable corner growth model. Probab. Math. Phys., 1(1):55–100, 2020.
Chanh Kieu, Weiran Cai, and Wai-Tong Louis Fan. On the existence of low-dimensional chaos of tropical cyclone intensity. arXiv preprint arXiv:2110.05190, 2021.
Wang-Chun Kwok, Ka-Chun Wong, Ting-Fung Ma, Ka-Wai Ho, Louis Wai-Tong Fan, King-Pui Florence Chan, Samuel Shung-Kay Chan, Terence Chi-Chun Tam, and Pak-Leung Ho. Modelling the impact of travel restrictions on covid-19 cases in hong kong in early 2020. BMC public health, 21(1):1–8, 2021.
Brian McLoone, Wai-Tong Fan, Adam Pham, Smead Rory, and Laurence Loewe. Stochasticity, selection, and the evolution of cooperation in a two-level moran model of the snowdrift game. Complexity, 2018:1– 14, 2018.
Mahashweta Patra, Wai-Tong Louis Louis, and Chanh Kieu. Sensitivity of tropical cyclone intensity variability to different stochastic parameterization methods. Frontiers in Earth Science, page 820.
Javier Rubio-Herrero, Carlos Ortiz Marrero, and Wai-Tong Louis Fan. Modeling atmospheric data and identifying dynamics temporal datadriven modeling of air pollutants. Journal of Cleaner Production, 333:129863, 2022.
Krishn SR Kaur S, Smith LM, Johansson SL, Jain M, Patel A, Gautam SK, Hollingsworth MA, Mandel U, Clausen H, Lo WC, Fan WT, Manne U, and Batra SK. Mucins and associated glycan signatures in colon 14 adenomacarcinoma sequence: prospective pathological implications for early diagnosis of colon cancer. Cancer Letters, 374(2):304–314, 2017.