Combinatorial properties of multilinear maps from dynamical point of view

来源 :2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a | 被引量 : 0次 | 上传用户:lichong0324
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  Let △ be a probability simplex, let △t be the Cartesian product of t copies of △, and let f be a t-linear map from △t to △. We consider the iterations of the map which sends (x1, . . . , xt)∈△t to (x2, . . . , xt, f (x1, . . . , xt))∈△t. We report some observations on the combinatorial properties of this dynamical system as well as its Boolean counterpart. This is joint work with Zongchen Chen, Zeying Xu and Yinfeng Zhu.
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