English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We obtain orthogonal polynomial self-duality functions for multi-speciesversion of the symmetric exclusion process (SEP$(2j)$) and the independentrandom walker process (IRW) on a finite undirected graph. In each process, wehave $n>1$ species of particles. In addition, we allow up to $2j$ particles tooccupy each site in the multi-species SEP$(2j)$. The duality functions for themulti-species SEP$(2j)$ and the multi-species IRW come from unitaryintertwiners between different $*$-representations of the special linear Liealgebra $\mathfrak{sl}_{n+1}$ and the Heisenberg Lie algebra $\mathfrak{h}_n$,respectively. The analysis leads to multivariate Krawtchouk polynomials asorthogonal duality functions for the multi-species SEP$(2j)$ and homogeneousproducts of Charlier polynomials as orthogonal duality functions for themulti-species IRW.

Orthogonal Polynomial Stochastic Duality Functions for Multi-Species SEP$(2j)$ and Multi-Species IRW