DOAJ Open Access 2014

A product formula for the TASEP on a ring

Erik Aas Jonas Sjöstrand

Lihat Sumber DOI

Abstrak

For a random permutation sampled from the stationary distribution of the TASEP on a ring, we show that, conditioned on the event that the first entries are strictly larger than the last entries, the $\textit{order}$ of the first entries is independent of the $\textit{order}$ of the last entries. The proof uses multi-line queues as defined by Ferrari and Martin, and the theorem has an enumerative combinatorial interpretation in that setting. Finally, we present a conjecture for the case where the small and large entries are not separated.

Topik & Kata Kunci

Mathematics

Penulis (2)

Erik Aas

Jonas Sjöstrand

Format Sitasi

APA MLA BibTeX

Aas, E., Sjöstrand, J. (2014). A product formula for the TASEP on a ring. https://doi.org/10.46298/dmtcs.2429

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2429

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2429
Akses: Open Access ✓