Dong Chen, Ph.D.
Assistant Research Professor
Department of Mathematics, Eberly College of Science
Pennsylvania State University
231 McAllister Building, University Park, PA 16802
dxc360@psu.edu
Research Interests
My research interests are focused on geometry, dynamical systems, and inverse problems. My research is currently supported by the AMS-Simons Travel Grant. Here is my CV.
Publications and preprints
- “Riemannian Anosov extension and applications” (joint with A. Erchenko and A. Gogolev), manuscript available at arxiv.org/abs/2009.13665. Under review.
- “On the closing lemma for Hamiltonian flows on symplectic 4-manifolds”, manuscript available at arxiv.org/abs/1904.09900. Under review.
- “An example of entropy non-expansive nearly integrable system” (joint with Dmitri Burago and Sergei Ivanov), accepted by Communications in Contemporary Mathematics.
- “Finsler perturbation with non-dense geodesics with irrational directions” (joint with Dmitri Burago), accepted by Asian Journal of Mathematics.
- “Properties of equilibrium states for geodesic flows without focal points” (joint with Lien-Yung Kao and Kiho Park), Advances in Mathematics, 380 (2021), 107564.
- “Unique equilibrium states for geodesic flows over surfaces without focal points” (joint with Lien-Yung Kao and Kiho Park), Nonlinearity, 33 (2020), no. 3, 1118-1155.
- “On total flexibility of local structures of Finsler tori without conjugate points”, Journal of Topology and Analysis, Vol. 11 (2019), No. 02, pp. 349-355.
- “Positive metric entropy arises in some nondegenerate nearly integrable systems”, Journal of Modern Dynamics, Vol. 11 (2017), pp. 43-56.
Research note
- “The key ideas behind perturbing any completely integrable Hamiltonian system obtaining metric entropy non-expansiveness” (joint with Dmitri Burago and Sergei Ivanov), manuscript available at arxiv.org/abs/2009.10143.
Teaching Experience
Course Instructor, Department of Mathematics, The Pennsylvania State University
- MATH 231 – Calculus of Several Variables (SP21)
- MATH 230 – Calculus and Vector Analysis (FA14, SP15, SP17)
- MATH 141 – Calculus with Analytic Geometry II (FA20, FA21)
- MATH 021 – College Algebra I (FA12, SP13, FA15, SP16)
Course Instructor, Department of Mathematics, The Ohio State University
- MATH 5202 (Graduate) – Introduction to Real Analysis II (SP19, SP20)
- MATH 2174 – Linear Algebra and Differential Equations for Engineers (SP18)
- MATH 2173 – Calculus 3 (FA17, FA19)
- MATH 1151 – Calculus 1 (FA18)