摘要
In this paper,the entropy of discrete Heisenberg group actions is considered.Let α be a discrete Heisenberg group action on a compact metric space X.Two types of entropies,h and h(α)are introduced,in which h is defined in Ruelle’s way and h(α) is defined via the natural extension of α.It is shown that when X is the torus and α is induced by integer matrices then h is zero and h(α) can be expressed via the eigenvalues of the matrices.
基金
Supported by NSFC (Grant Nos. 12171400, 12126102)。
