{"id":246,"date":"2023-01-14T17:09:00","date_gmt":"2023-01-15T01:09:00","guid":{"rendered":"https:\/\/dornsife.usc.edu\/mathematics\/?page_id=246"},"modified":"2026-03-03T09:06:03","modified_gmt":"2026-03-03T17:06:03","slug":"probability","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/mathematics\/probability\/","title":{"rendered":"Probability"},"content":{"rendered":"\n\n \n \n\n\n\n\n\n\n\n
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The research of the faculty covers a broad area of probability theory, mathematical statistics, and their applications.<\/p>\n

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FACULTY<\/h4>\n
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  1. Alexander, Kenneth<\/a>: Probability models in statistical mechanics: lattice models (Ising model, Potts model, percolation, etc.), phase transitions, disordered models.<\/li>\n
  2. Arratia, Richard<\/a>: Probability, especially as related to combinatorics and number theory, coupling, and approximation.<\/li>\n
  3. Chen, Xiaohui<\/a>: High-dimensional statistics, machine learning, and optimal transport.<\/li>\n
  4. Dimitrov, Evgeni<\/a>: Integrable probability.<\/li>\n
  5. Fulman, Jason<\/a>: Markov chains, probability on algebraic structures, random matrix theory, Stein’s method.<\/li>\n
  6. Goldstein, Larry<\/a>: Distributional approximation and Stein’s method, high dimensional statistics, concentration inequalities, sampling schemes in epidemiology, statistical efficiency, optimal stopping.<\/li>\n
  7. Lototsky, Sergey<\/a>: Stochastic partial differential equations, optimal nonlinear filtering of diffusion processes, statistical inference for continuous-time processes.<\/li>\n
  8. Lv, Jinchi<\/a> (Marshall School of Business): statistics, data science, artificial intelligence, machine learning, and business applications as well as blockchain and large language models<\/span>.<\/li>\n
  9. Ma, Jin<\/a>: Stochastic analysis, stochastic differential equations, stochastic control theory, mathematical finance and insurance.<\/li>\n
  10. Minsker, Stanislav (Stas)<\/a>: Statistical learning theory, non-parametric statistics, concentration inequalities, mathematical finance.<\/li>\n
  11. Panova, Greta<\/a>: Algebraic combinatorics, computational complexity, statistical mechanics and probability.<\/li>\n
  12. Sun, Fengzhu<\/a> (Department of Quantitative and Computational Biology): Quantitative and computational biology, probability, statistics.<\/li>\n
  13. Zhang, Jianfeng<\/a>: Stochastic Analysis, Backward Stochastic Differential Equations, Stochastic Controls and Games, Stochastic Numerics, and Mathematical Finance<\/span>.<\/li>\n
  14. Zhu, Yizhe<\/a>: high-dimensional probability and mathematical data science, with emphasis on random matrix theory, network analysis, community detection, and differential privacy.<\/li>\n<\/ol>\n

    EMERITUS FACULTY<\/h4>\n
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    1. Baxendale, Peter<\/a>: Stochastic dynamical systems; equilibrium, stability, and bifurcation for solutions of stochastic differential equations; applications to stochastic neuronal models.<\/li>\n
    2. Mikulevicius, Remigijus (Remi)<\/a>: Stochastic differential equations, stochastic analysis.<\/li>\n
    3. Waterman, Michael<\/a> (Department of Quantitative and Computational Biology): Molecular and computational biology, probability, statistics.<\/li>\n<\/ol>\n

      ASSISTANT PROFESSORS (RTPC)<\/span><\/h4>\n