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Universität Augsburg
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Universität Augsburg
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Dr. Nimisha Pahuja
Amsterdam
spricht am
Mittwoch, 15. Oktober 2025
um
14:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| Multispecies asymmetric exclusion processes (ASEPs) are fundamental interacting particle systems where particles of different species move asymmetrically on one-dimensional lattices, interacting only with their neighbours under simple exchange rules. I will discuss recent progress on understanding correlations and structural properties in these systems. Using combinatorial tools such as Ferrari–Martin multiline queues, projection techniques, and bijective arguments, we derive exact formulas for two-point correlations in multispecies ASEPs on finite rings and in their continuous-space limit, resolving a conjecture of Aas and Linusson (AIHPD 2018). I will also present recent work on periodic ASEP on the infinite line, showing how pairwise correlations can be used to analyse long-time limiting states. The correlation formulas further provide insights into speed processes and convoy formations in partially asymmetric processes, and I will briefly outline ongoing directions in this area. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Dominik Schmid |