ICTS:30044

Video URL

The boundary-driven q-Hahn process

The boundary-driven q-Hahn process

(2024). The boundary-driven q-Hahn process. SciVideos. https://youtube.com/live/vXBtzFioN5A

The boundary-driven q-Hahn process. SciVideos, Oct. 29, 2024, https://youtube.com/live/vXBtzFioN5A 

          @misc{ scivideos_ICTS:30044,
            doi = {},
            url = {https://youtube.com/live/vXBtzFioN5A},
            author = {},
            keywords = {},
            language = {en},
            title = {The boundary-driven q-Hahn process},
            publisher = {},
            year = {2024},
            month = {oct},
            note = {ICTS:30044 see, \url{https://scivideos.org/icts-tifr/30044}}
          }
Rouven Frassek
Talk numberICTS:30044
Source RepositoryICTS-TIFR
Source EventDiscrete integrable systems: difference equations, cluster algebras and probabi…
Collection

Abstract

I will discuss the relation between non-compact spin chains and the zero-range processes introduced by Sasamoto-Wadati, Povolotsky and Barraquand-Corwin. The main difference compared to the prime examples of integrable particle processes, namely the SSEP and the ASEP, is that for the models discussed in this talk several particles can occupy one and the same site. Guided by the desire to maintain the integrable structure, I will introduce boundary conditions for these models that are obtained from the boundary Yang-Baxter equation. This allows to define analogues of the open SSEP and ASEP with boundary reservoirs. Some recent exact results concerning these types of integrable non-equilibrium zero-range processes will be discussed.