Perhaps it's interesting to contrast with Japanese food. There are 14,000 (self-reported) Chinese-Peruvians and 22,000 (self-reported) Japanese-Peruvians and yet Japanese food traditions are not as well known in Peru.
I don't think there is a paper about this specific topic, but first don't be fooled by the last census. The chiinnese community in Peru is way older than it's japanese counterpart, coming in mid 19century thanks to president Castilla to work in the plantations of the coast after he abolished slavery. Many new waves of migrants came over time, but nowadays you won't see many because of the chiinnese population eventually mixing with the local population. I'm pretty sure that there are more people of Chinese ancestry than japanese as the japanese migration was smaller and came decades later.
The Chinese community had a headstart in it's sharing of their culture, also they had a big relationship with the other popular populations to who they cater to as they worked mostly as labourers in the start.
One books that talk about Chinese migration is La inmigración China al Perú. Arqueología, Historia y Sociedad and in this page you can find more information about this community http://www.tusanaje.org/biblioteca/collections/show/1