Research
My research focuses on nonstandard analysis and its applications to economics, Markov processes, and statistical decision theory. I am also interested in general equilibrium theory with potential applications to environmental regulatory schemes.
- Nonstandard representation of the Dirichlet form and applications to the comparison theorem. by Haosui Duanmu and Aaron Smith, Mathematische Nachrichten, 2025.
- Cap-and-trade and Carbon Tax Meet Arrow-Debreu. by Robert Anderson and Haosui Duanmu, Econometrica (Lead Article), 2025.
- Mixing times and hitting times for general Markov processes. by Robert Anderson, Haosui Duanmu and Aaron Smith, Israel Journal of Mathematics, 2024.
- On existence of Berk-Nash equilibria in misspecified Markov decision processes with infinite spaces. by Robert Anderson, Haosui Duanmu, M.Ali Khan and Ani Ghosh, Journal of Economic Theory, 2024.
- Existence of matching priors on compact spaces. by Haosui Duanmu, Daniel Roy and Aaron Smith, Biometrika, 2023.
- Loeb extension and Loeb equivalence II. by Haosui Duanmu, David Schrittesser and William Weiss, Fundamenta Mathematicae, 2023
- Walrasian equilibrium theory with and without free-disposal: theorems and counterexamples in an infinite-agent context. by Robert Anderson, Haosui Duanmu, M.Ali Khan and Metin Uyanik, Economic Theory (Lead Article), 2022.
- On abstract economies with an arbitrary set of players and action sets in locally-convex topological vector spaces. by Robert Anderson, Haosui Duanmu, M.Ali Khan and Metin Uyanik, Journal of Mathematical Economics, 2022.
- Ergodicity of Markov processes via nonstandard analysis. by Haosui Duanmu, Jeffrey Rosenthal and William Weiss, Memoirs of the American Mathematical Society, 2021.
- On extended admissible procedures and their nonstandard Bayes risk. by Haosui Duanmu and Daniel Roy, The Annals of Statistics, 2021.
- Mixing and average mixing times for general Markov processes. by Robert Anderson, Haosui Duanmu and Aaron Smith, Canadian Mathematical Bulletin, 2021.
- Mixing and hitting times for Gibbs samplers and other non-Feller processes. by Robert Anderson, Haosui Duanmu and Aaron Smith Illinois Journal of Mathematics, 2021.
- Loeb extension and Loeb equivalence. by Robert Anderson, Haosui Duanmu, David Schrittesser and William Weiss, Proceedings of the American Mathematical Society, Series B, 2021.
- Finitely-additive, countably-additive and internal probability measures. by Haosui Duanmu and William Weiss, Commentationes Mathematicae Universitatis Carolinae, 2018.
- Productively Lindelöf and indestructibly Lindelöf spaces. by Haosui Duanmu, Franklin Tall and Lyubomyr Zdomskyy, Topology and its Applications, 2013.