Wenbo Sun

Contact Information

Address:  460 McBryde Hall, Virginia Tech

      225 Stanger Street

      Blacksburg, VA 24061-1026

Office:     McBryde Room 452

Email Address: swenbo@vt.edu

Research Interest

Ergodic theory and dynamical system; Combinatorics; Number theory

Publications

• Seminorm estimates and joint ergodicity for pairwise independent Hardy sequences. (Joint with S. Donoso, A. Koutsogiannis, B. Kuca, and K. Tsinas) submitted. 

• Joint transitivity for linear iterates.  (Joint with S. Donoso, and A. Koutsogiannis) submitted.

• Spherical higher order Fourier analysis over finite fields IV: an application to the geometric Ramsey conjecture. submitted.

• Spherical higher order Fourier analysis over finite fields III: a spherical Gowers inverse theorem. submitted. 

• Spherical higher order Fourier analysis over finite fields II: additive combinatorics for shifted ideals. submitted.

• Spherical higher order Fourier analysis over finite fields I: equidistribution for nilsequences. submitted. Note: the content of this paper has been seperated into two papers: (1) Equidistribution for nilsequences along spheres over finite fields; (2) Leibman dichotomy for nilsequences along spheres and beyond.

• Total joint ergodicity for totally ergodic systems. (Joint with  A. Koutsogiannis) submitted.

• Averages of completely multiplicative functions over the Gaussian integers -- a dynamical approach. (Joint with S. Donoso, A. Le and J. Moreira) Transactions of the American Mathematical Society. 377 (2024), no. 10: 7081--7115.

• Joint ergodicity for functions of polynomial growth. (Joint with S. Donoso, and A. Koutsogiannis) Israel Journal of Mathematics, to appear.

• Decomposition of multicorrelation sequences and joint ergodicity. (Joint with S. Donoso, A. Ferre and A. Koutsogiannis) Ergodic Theory and Dynamical Systems. 44 (2024), no. 2, 432--480.

• Additive averages of multiplicative correlation sequences and applications. (Joint with S. Donoso, A. Le and J. Moreira) Journal d'Analyse Mathematique. 149 (2023), no. 2, 719--761.

• Sarnak's Conjecture for nilsequences on arbitrary number fields and applications. Advances in Mathematics. 415 (2023), p108883.

• Seminorms for multiple averages along polynomials and applications to joint ergodicity. (Joint with S. Donoso and A. Koutsogiannis)  Journal d'Analyse Mathematique. 146 (2022), 1--64.

• Weak ergodic averages over dilated measures. Ergodic Theory and Dynamical Systems. 41 (2021), no. 2, 606--621.

• Optimal lower bounds for multiple recurrence.  (Joint with S. Donoso, A. Le and J. Moreira) Ergodic Theory and Dynamical Systems. 41 (2021), no. 2, 379--407.  

• Under- and over-independence in measure-preserving systems. ( Joint with T. Adams and V. Bergelson) Israel Journal of Mathematics. 235 (2020): 349--384.

• Pointwise multiple averages for sublinear functions. (Joint work with S. Donoso and A. Koutsogiannis) Ergodic Theory and Dynamical System, 40 (2020), no. 6, 1594--1618.

• Equidistribution of dilated curves on nilmanifolds. (Joint with B. Kra and N. Shah) Journal of the London Mathematical Society, 98 (2018), no. 3, 708--732.

• Quantitative multiple recurrence for two and three transformations. (Joint  with S. Donoso) Israel Journal of Mathematics, 226 (2018), 71--85.

• Pointwise convergence of some multiple ergodic averages. (Joint with S. Donoso) Advances in Mathematics, 330 (2018), 946--996.

• A structure theorem for multiplicative functions over the Gaussian integers and applications. Journal d'Analyse Mathematique, 134 (2018), no. 1,  55--105. 

• Pointwise multiple averages for systems two commuting transformations. (Joint with S. Donoso) Ergodic Theory and Dynamical Systems, 38 (2018), no. 6, 2132--2157. 

• A pointwise cubic average for two commuting transformations. (Joint with S. Donoso) Israel Journal of Mathematics, 216 (2016), no. 2, 657--678.

• Dynamical cubes and criteria for systems having product extensions. (Joint with S. Donoso) Journal of Modern Dynamics, 9 (2015), no. 1, 365--405.

• Multiple recurrence and convergence for certain averages along shifted primes. Ergodic Theory and Dynamical Systems, 35 (2015), no. 5, 1592--1609. 

More about me:

CV/Resume

VT/Department of Mathematics

Trails in Blacksburg