Inhyeok Choi

Harry Kesten Assistant Professor

Publications

  • Confine subgroups in groups with contracting elements. With Ilya Gekhtman, Wenyuan Yang and Tianyi Zheng. Preprint, arXiv:2405.09070
  • Random walks and contracting elements I: Deviation inequality and limit laws. Preprint, arXiv:2207.06587
  • Pseudo-Anosovs are exponentially generic in mapping class groups. To appear in Geometry & Topology, arXiv:2110.06678
  • Central limit theorem and geodesic tracking on hyperbolic spaces and Teichmüller spaces. Advances in Mathematics, Vol. 431 (2023), 109236
  • Linear growth of translation lengths of random isometries on Gromov hyperbolic spaces and Teichmüller spaces. With Hyungryul Baik and Dongryul M. Kim. JIMJ.

Christopher Deng

Ph.D. Student

Shi Feng

Ph.D. Student

Sungwoo Jeong

H.C. Wang Assistant Professor

Publications

  • A. Edelman and S. Jeong, "The conditional DPP approach to random matrix distributions." arXiv:2304.09139 (2023).
  • A. Edelman and S. Jeong, "Fifty three matrix factorizations: A systematic approach." SIAM Journal on Matrix Analysis and Applications (2023).
  • A. Edelman and S. Jeong, "On the structure of the solutions to the matrix equation G*JG= J." Linear Algebra and its Applications (2022).
  • A. Edelman and S. Jeong, "On the Cartan decomposition for classical random matrix ensembles." Journal of Mathematical Physics 63.6 (2022): 061705. 

Kihoon Seong

H.C. Wang Assistant Professor

Publications

  • Phase transition of singular Gibbs measures for three-dimensional Schrödinger-wave system, arXiv:2306.17013
  • Focusing Gibbs measures with harmonic potential (with T. Robert, L. Tolomeo, Y. Wang), arXiv:2212.11386
  • Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations (with J. Forlano), Comm. Partial Differential Equations, 47 (2022), no. 6, 1296-1337.
  • Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system, arXiv:2111.11195
  • A remark on Gibbs measures with log-correlated Gaussian fields (with T. Oh, L. Tolomeo), arXiv:2012.06729
  • Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces (with T. Oh), J. Funct. Anal. 281 (2021), no. 9, 109150, 49 pp.

     

Christopher Wang

Ph.D. Student

Anna Skripka

Michler Scholar

Publications

  • MSE bounds for estimators of matrix functions, Linear Algebra and its Applications,  609 (2021), 231-252

  • Multilinear Operator Integrals: Theory and Applications (with A. Tomskova), Lecture Notes in Mathematics,  2250, Springer, 2019, XI+192 pp

  • Multilinear Schur multipliers and applications to operator Taylor remainders (with D. Potapov, F. Sukochev, A. Tomskova),  Advances in Mathematics,  320 (2017), 1063-1098

  • Estimates and trace formulas for unitary and resolvent comparable perturbations,  Advances in Mathematics,  311 (2017), 481-509

  • Spectral shift function of higher order (with D. Potapov, F. Sukochev), Inventiones Mathematicae,  193 (2013), no. 3, 501-538

Brian Chao

Ph.D. Candidate

Ruoqi Zhang

Ph.D. Candidate

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