Sudan Xing

Research Interests: 

•  Convex Geometry, Functional Analysis, Probability Theory, Information Theory

Publications:

1. On the s-Gaussian measure in $R^n$, (With Youjiang Lin), Advances in Applied Mathematics, 160 (2024), 102744.

2. On Multiple  Lp-Curvilinear-Brunn–Minkowski Inequalities, (With Michael Roysdon), Journal of Geometric Analysis, 7 (2024), 1-34.

3. On the Gaussian Projection Inequalities, (With Youjiang Lin), International Mathematics Research Notices, 6 (2024), 5166-5211.

4. On the framework of Lp summations for functions, (With Michael Roysdon), Journal of Functional Analysis, 12 (2023), 110150.

5. Geometry of log-concave functions: the  Asplund sum and the  Minkowski problem, (With Niufa Fang and Deping Ye ), Calculus of Variations and Partial Differential Equations, 2 (2022), 1-45.

6. The general dual-polar Orlicz–Minkowski problem, (With Baocheng Zhu and Deping Ye), Journal of Geometric Analysis, 32 (2022), 1-40.

7. On Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for measures, (With Michael Roysdon), Transactions of the American Mathematical Society, 7 (2021), 5003-5036.  

8. On the Musielak-Orlicz-Gauss image problem, (With Qingzhong Huang, Deping Ye and Baocheng Zhu), Indiana Univ. Math. J., 73 (2024), 537–580.

9. General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem II, (With Richard Gardner, Daniel Hug and Deping Ye), Calculus of Variations and Partial Differential Equations, 1 (2020), 1-34.

10. On the general dual Orlicz-Minkowski problem, (With Deping Ye), Indiana University Mathematics Journal, 69 (2020), 621-655.

11. General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem I, (With Richard Gardner, Daniel Hug, Wolfgang Weil and Deping Ye), Calculus of Variations and Partial Differential Equations, 58 (2019), 1-35.

12. The dual Orlicz–Minkowski problem, (With Baocheng Zhu and Deping Ye), Journal of Geometric Analysis, 28 (2018), 3829-3855.

13. New fiber and graph combinations of convex bodies, (With Steven Hoehner), arXiv:2503.05392.92 

Teaching:

1. 2025 Spring: University of Arkansas at Little Rock

• Math 3312, Linear Algebra

• Math 4304/5304, Advanced Calculus II

2. 2024 Fall: University of Arkansas at Little Rock

• Math 1452, Calculus II

• Math 4302/5302, Complex Functions

• Math 4303/5303, Advanced Calculus I

• Math 4399/5399/7399, Convex Geometry

3. 2024 Spring: University of Arkansas at Little Rock

• Math 1452, Calculus II

• Math 3310, Algebraic Structures I

• Math 4310, Algebraic Structures II

• Math 5304, Advanced Calculus II

4. 2023 Fall: University of Arkansas at Little Rock

• Math 1303, Trigonometry

• Math 4302/5302, Complex functions

• Math 4303/5303,  Advanced Calculus I

5. 2023 Spring: Syracuse University

• Math 295,  Calculus I

6. 2021 Fall, University of Alberta

• Math 100, Calculus I

7. 2020 Fall, University of Alberta

• Math 134, Calculus for the Life Sciences I

8. 2020 Spring, University of Alberta

• Math 102, Applied Linear Algebra

9. 2019 Summer, Memorial University of Newfoundland

• Math 2000, Calculus III, Memorial University of Newfoundland

10.  2019 Spring, Memorial University of Newfoundland

• Math 1090, Algebra and Trigonometry

11. 2018 Fall, Memorial University of Newfoundland

• Math 1000, Calculus I

Websites:

GoogleScholar, Arxiv, Mathscinet, Researchgate, Linkedin, etc

CV:  CV_Sudan_Xing.pdf