We prove the existence of a model structure on the category of stratified simplicial sets whose fibrant objects are precisely –complicial sets, which are a proposed model for –categories, based on previous work of Verity and Riehl. We then construct a Quillen equivalent model based on simplicial presheaves over a category that can facilitate the comparison with other established models.
"Model structures for $(\infty,n)$–categories on (pre)stratified simplicial sets and prestratified simplicial spaces." Algebr. Geom. Topol. 20 (3) 1543 - 1600, 2020. https://doi.org/10.2140/agt.2020.20.1543