경력사항
국가수리과학 연구소(NIMS) 산업수학 전문위원(2019~)
대한수학회 정회원(2008~ )
충청수학회 정회원(2006~ )
Mathematical Reviewer of the American Mathematical Society (2011~ )
Zentralblatt Math(2012~ )
Editor in Journal of the Chungcheong Mathematical Society(2017~ )
Editor in Journal of Applied Mathematics and Statistical Applications (2016~ )
- 교외연구비 수주 :
2009.05.01.-2010.04.30. (한국연구재단-기본연구)
2011.05.01.-2014.04.30. (한국연구재단-신진연구)
2014.05.01.-2017.04.30. (한국연구재단-신진연구 후속)
2017.03.01.-2020.02.28. (한국연구재단-중견연구)
2020.06.01.-2023.02.28.(한국연구재단-기본연구)
-논문 157편-SCI(81편), Scopus(47편), KCI(한국연구재단 등재)(29편)
Main Publications(주요 논문)
■ M. Lee, Robustly eventual shadowing diffeomorphisms, to appear in Journal of the Korean Mathematical Society.
■ M. Lee and J. Oh, Hyperbolic structure of generalized expansive systems, to appear in Topoloy and Its Applications.
■ M. Lee, The pseudo-orbit tracing property for $C^1$ generic dynamical systems, J. Korean Math. Soc. 63(2026), 313-324.
■ M. Lee and J. Oh, Weak measure expansive symplectic systems, Reviews in Mathematical Physics. 38, No. 02, 2550014 (2026).
■ W. Jung, M. Lee and C. A. Morales, Shadowing of the induced map for contracting homeomorphisms, Journal of Mathematical Analysis and Applications, 543(2025), 128983.
■ M. Lee, C. A. Morales and J. Park, An approximate fixed pointproperty, Topology and Its Appl. 344 (2024), 108820.
■ M. Lee, Singular hyperbolicity of C^1 generic three dimensional vector fields, J. Korean Math. Soc. 61 (2024), 495-513
■ M. Lee, Continuum-wise expansiveness for C^1 generic vector fields, J. Korean Math. Soc., 60(2023), 987-998
■ M. Lee, Local topological stability for diffeomorphisms, 22 Article number: 51 (2023). Qual. Th. Dynam. Syst.
■ M. Lee and J. Oh, Asymptotic measure expansive flows, J. Dynam. Cont. Syst., 29 (2023), 293-318.
■ H. Bo and M. Lee, A generalized Lipschitz shadowing property for flows, Acta Math. Sci. 43(2023), 259 – 288.
■ M. Lee, Inverse pseudo orbit tracing property for robust diffeomorphisms, Chaos, Solitons and Fractals. 160 (2022), 112150.
■ M. Lee, J. Oh and J. Park, Kinematic N expansive continuous dynamical systems, Reviews in Math. Physics. 34 (2022), Article No. 2250012.
■ M. Lee and J. Ahn, Partial hyperbolicity and pseudo orbit tracing properties, Topology Its Appl. 314 (2022), 108095.
■ M. Lee, Flows with ergodic pseudo orbit tracing property, Electronic Research Archive, 30 (2022), 2406-2416.
■ M. Lee, Eventual shadowing for chain transitive sets of C^1 generic dyanmical systems, J. Korean Math. Soc. 58 (2021), 1059-1079.
■ M. Lee, Continuum-wise expansiveness for discrete dynamical systems, Rev. Real Acad. Cien. Exact. Fis. Nat. Ser. A. Math. 115 (2021), Article Number 113.
■ M. Lee, Asymptotic measure expansiveness for generic diffeomorphisms, Open Math. 19(2021), 470-476
■ M. Lee and L. H. Tien, Chain components with the stable shadowing property for C^1 vector fields, J. Aust. Math. Soc. 110 (2021), 243 – 259.
■ M. Lee J. Oh and X. Wen, Diffeomorphisms with a generalized Lipschitz shadowing property, Disc. Contin. Dynam. Syst. 41 (2021), 1913-1927.
■ M. Lee, Robustly measure expansiveness for C1 vector fields, Quaestiones Mathematicae, 43(2020), 569-582.
■ M. Lee and J. Park, Vector fields with the asymptotic orbital pseudo orbit tracing property, Qual. Th. Dynam. Syst. 19(2020), paper No.52.16page.
■ M. Lee, Continuum-wise expansiveness for generic diffeomorphisms, Nonlinearity, 31 (2018), 2982-2988.
■ M. Lee and J. Park, Expansive transitive sets for robust and generic diffeomorphisms, Dynam. Syst. 33(2018), 228-238.
■ M. Lee, Zero topological entropy for C1 generic vector fields, Chaos Solitons &Fractals 108(2018), 104-106.
■ M. Lee, Weak measure expansiveness for partially hyperbolic diffeomorphisms, Chaos Solitons & Fractals 103(2017), 381-385.
■ K. Lee and M. Lee, Measure-expansive homoclinic classes, Osaka Journal of Mathematics, 53(2016), 873-887.
■ M. Lee, The barycenter property for robust and generic diffeomorphisms, Acta Math. Sin. Engl. Ser. 32(2016), 975-981.
■ K. Lee, and M. Lee, Shadowable chain recurrence classes for generic diffeomorphisms Taiwan J. Math. 20(2016), 399-409.
■ K. Lee, M. Lee, K. Moriyasu and K. Sakai, On positively measure-expansive differentiable maps, Journal of Math. Anal. Appl.435(2016), 492-507.
■ K. Lee, M. Lee and S. Lee, Hyperbolicity of homoclinic classes of C1 vector fields, J. Aust. Math. Soc. 98(2015), 375-389.
■ M. Bessa, M. Lee, X. Wen, Shadowing, expansivenss and specification for C1-conservative systems, Acta Math. Sci.36(2015), 583-600.
■ M. Lee, Volume-preserving diffeomorphisms with various limit shadowing, International Journal of Bifurcation and Chaos. 25, 1550018 (2015) [8 pages]
■ M. Lee, Generic expansive Hamiltonian systems, Chaos Solitons & Fractals, 61(2014), 24-26.
■ T. Das, K. Lee and M. Lee, C1-persistently continuum-wise expansive homoclinic classes and recurrent sets, Topol. Appl, 160(2013), 350-359.
■ M. Lee, Robustly chain transitive sets with orbital shadowing diffeomorphisms, Dynam. Syst., 27(2012), 507-514.
■ K. Lee and M. Lee, Stably inverse shadowable transitive sets with dominated splittings , Proc. Amer. Math. Soc., 140(2012), 217-226.
■ M. Lee, C2-stably inverse shadowing diffeomorphisms, Dynam. Syst., 26(2011), 161-1168.
■ M. Lee, Stably average shadowable homoclinic classes, Nonliear Anal., 74(2011), 689-694.
■ K. Lee and M. Lee, Hyperbolicity C1-stably expansive homoclinic classes, Discerete Cont.Dynam. Syst., 27(2010), 1133-1145.
-학술대회발표(47회): 국제학술대회 발표(17회), 국내 학술대회 발표(30회)
Main International Conference Presentations(국제 학술 발표)
■ Korea-Vietnam Joint Conference on Differential Equations and Dynamical Systems, Jeju. July 7 - 9, 2025.
Title : On the topological stability of dynamical systems
■ 2024 International Conference on Dynamical Systems and Related Topics, The University of Danang - University of Science (UD-UED) and Education. January 29 to February 2, 2024.
Title : Hyperbolicity and weak shadowing diffeomorphisms
■ 2023 VIASM Workshop on Dynamical Systems and Related Topics, VIASM, Hanoi. January 3 - 6, 2023.
Title : Hyperbolic structure of smooth dynamical systems with various shadowing properties
■ Differential Dynamical Systems, Changchun China 4-10 August 2019.
Title: Weak Measure Expansiveness for Local Diffeomorphisms.
■ The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan. 5-9 July 2018.
Title: Various shadowing properties for partial hyperbolicity.
■ The 2nd Pan-Pacific International Conference on Topology and Applications, Novotel, Busan, Korea. 13-17 November 2017.
Title : Hyperbolicity of the eventual shadowing diffeomorphisms.
■ Vietnam - Korea workshop on selected topics in Mathematics, Da Nang, 20-24 February 2017.
Title: Lyapunov stable homoclinic classes with shadowing for flows.
■ International Conference for the 70th Anniversary of Korean Mathematical Society, Seoul National University, 20-23 October
Title: Hyperbolic structure of closed invariant sets for differentiable dynamical systems.
■ The Asian Mathematical Conference 2013, BEXCO, Busan, Korea. Jun 30-July 4, 2013.
Title : Measure expansive homoclinic classes.
■ The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA 1-5 July 2012(Special session 23)
Title : Shadowable chain transitive sets of C1-vector fields.
■ ICM2010 Satellite Conference on various aspcets of dynamical systems, University of Baroda, India. August 29-Sept. 01, 2010.
Title : Stably weak inverse shadowing property with dominated splitting.
■ 2015 KMS Annual Meeting, Oct. 23-25, 2015, Yeonsei University.
Title: Dynamical systems and related topics-Organizer of Special section.
■ ICM 2014 Satellite Conference on Dynamical Systems and Related Topics, 8-12 Aug. 2014, Chungnam National University. Organizer.
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