Dance Breaking news about the arts, coverage of live events, critical reviews, multimedia and more. Go to Arts Beat » A sortable calendar of noteworthy cultural events in the New York region, selected by Times critics. Go to Event Listings » Full reviews of recent dance performances: nytimes.com/dance. The Art of Influence: Juliette Mapp (Thursday) Danspace has been paying tribute this season to the seminal Judson Dance Theater, and a new series, the Art of Influence, offers three programs, each chosen by a choreographer who has performed in the work of a Judson member. The idea is presumably to look at the way influence trickles down and mutates from one artist to another, and on Thursday,...