Research

Research Interests

       Probability, Analysis and Mathematical Physics in a broad sense

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• Researchgate

Papers 

• 14. (Eunghyun Lee) Integrability of the multi-species symmetric simple exclusion process with long-range jumps on Z, Symmetry, 16, 1164. (2024).

• 13. (Eunghyun Lee, Zhanibek Tokebayev) Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration, Journal of Statistical Physics, 190, 76, (2023).

• 12. (Eunghyun Lee, Temirlan Raimbekov) Simplified forms of the transition probabilities of the two-species ASEP with some initial orders of particles, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 18, 008, (2022).

• 11. (Eunghyun Lee) Integrability of the multi-species TASEP with species-dependent rates,  Symmetry, 13 (9), 1578, (2021).

• 10. (Eunghyun Lee) Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 16, 139, (2020). 

• 9. (Eunghyun Lee, Dong Wang) Distributions of a particle's position and their asymptotics in the q-deformed totally asymmetric zero range process with site dependent jumping rates, Stochastic Processes and their Applications 129, 1795 ~ 1828, (2019).

• 8. (John Harnad, Eunghyun Lee) Symmetric polynomials, generalized Jacobi-Trudi identities and tau-functions,  Journal of Mathematical Physics 59, 091411, (2018). 

• 7. (Eunghyun Lee) On the TASEP with the second class particles, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 14, 006, (2018).

• 6. (Eunghyun Lee) Some conditional probabilities in the TASEP with second class particles, Journal of Mathematical Physics 58, 123301, (2017).

• 5. (Marko Korhonen, Eunghyun Lee, ) The transition probability and the probability for the left-most particle's position of the q-totally asymmetric zero range process,  Journal of Mathematical Physics 55,  013301, (2014).

• 4. (Eunghyun Lee) The current distribution of the multiparticle hopping asymmetric diffusion model, Journal of Statistical Physics 149, 50 ~ 72, (2012).

• 3. (Eunghyun Lee) Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems, Journal of Statistical Physics 142, 643 ~ 656, (2011).

• 2. (Eunghyun Lee) Distribution of a particle’s position in the ASEP with the alternating initial condition, Journal of Statistical Physics 140, 635 ~ 647, (2010).

• 1. (Yoonmi Hong, Jong Min Kim, Kil Hyun Kwon, Eung Hyun Lee) Channeled sampling in shift invariant spaces,  International Journal of Wavelets, Multiresolution and Information Processes 05, 753, (2007). 

Unpublished Articles

•  Fredholm determinants in the multi-particle hopping asymmetric diffusion model, arXiv:1410.1447.

• Asymmetric multi-channel sampling and its aliasing error (with J.M. Kim and K.H. Kwon), (2004).