Si Tang's home page

I am an Assistant Professor in the Department of Mathematics at Lehigh University. Before joining Lehigh, I worked as an Assistant Research Professor in the Department of Mathematics at Duke University from 2017 to 2018. I received my PhD in Statistics in 2017 and PhD in Ecology and Evolution in 2013, both from University of Chicago.

I am co-organizing an online probability seminar for Spring 2024.
See also: an in-person Prob/Stat seminar series.
(All ongoing and Past activities)

Contact

• Email: sit218_at_lehigh_dot_edu
• Office: Chandler-Ullmann Hall (map), Room 246
• Phone: (610)758-3734
• Address: 17 Memorial Drive East, Bethlehem, PA 18015

Publications and preprints

  Probability

• with W.-K. Chen. On the TAP equations via the cavity approach in the generic mixed p-spin models. Commun. Math. Phys. 405 (87), 2024. [Journal]
• with C. Guo and N. Wei. On the minimal drift for recurrence in the frog model on d-ary trees.
  Ann. Appl. Probab. 32 (4): 3004-3026, 2022. [Journal]
• with W.-K. Chen. On convergence of the cavity and Bolthausen's TAP iterations to the local magnetization. Commun. Math. Phys. 386 (2): 1209-1242, 2021. [Journal]
• with S. P. Lalley. Occupation densities of ensembles of branching random walks.
  Electron. Commun. Probab. 25 (12): 1-13, 2020. [Journal]
• with R. Durrett and M. Junge Coexistence in chase-escape.
  Electron. Commun. Probab. 25(22): 1-14, 2020. [Jounal]
• with E. Beckman, N. Frank, Y. Jiang, M. Junge. The frog model on tree with drift.
  Electron. Commun. Probab. 24 (26): 1-10, 2019. [Journal]
• with A. Auffinger. On the time constant of high dimensional first passage percolation.
  Electron. J. Probab. 21 (24): 1-13, 2016. [Journal]
• with A. Auffinger. Extreme eigenvalues of sparse, heavy-tailed random matrices.
  Stoch. Proc. Appl. 126 (11): 3310-3330, 2016. [Journal]

  Mathematical Biology

• S. Tang, G. Kordzakhia, and S. P. Lalley.
  Phase transition for the Chase-Escape model on 2D lattices. [arXiv]
• S. Allesina, E. Sander, M. Smith and S. Tang.
  Superelliptical laws for complex networks. [arXiv]
• S. Allesina, J. Grilli, G. Barabás, S. Tang, J. Aljadeff, and A. Maritan.
  Predicting the stability of large structured food webs.
  Nat. Commun.. 6 (7482), 2015. [Journal]
• S. Allesina and S. Tang.
  The stability-complexity relationship at age 40: a random matrix perspective.
  Popul. Ecol.. 57 (1):63-75, 2015. [Journal]
• S. Tang, S. Pawar, and S. Allesina.
  Correlation between interaction strengths drives stability in large ecological networks.
  Ecol. Lett.. 17(9):1094-1100, 2014. [Journal]
• S. Tang and S. Allesina.
  Reactivity and stability of large ecosystems.
  Front. Ecol. Evol.. 2:21-28, 2014. [Journal]
• A. Eklöf, S. Tang, and S. Allesina.
  Secondary extinctions in food webs: a Bayesian network approach.
  Methods Ecol. Evol..4 (8):760-770, 2013. [Journal]
• S. Allesina and S. Tang.
  Stability criteria for complex ecosystems.
  Nature. 483 (7388):205-208, 2012. [Journal]

Teaching

	At Lehigh	Probability and Statistics. Fall 2018, 2019, 2021.
		Random Processes and Applications. Spring 2019, 2020, 2023. Fall 2021, 2023.
		Advanced Probability. Spring 2022.
	At Northwestern	Probability and Statistics for Econometrics. Fall 2020.
		Linear Algebra. Spring 2021.
	At Duke	Probability. Fall 2017. Spring 2018.
		Introduction to Stochastic Calculus. Spring 2018.
	At UChicago	Elementary Statistics. Winter 2016.