This paper investigates a connection between self-similar group representations and induced rational maps on the projective space which preserve spectrum of group. The focus is infinite dihedral D?. main theorem states that Julia set map F P2 for D? union with F's extended indeterminacy set. Moreover, limit function iteration sequence {F?n} Fatou fully described. discovery finds an application ...

We present a new method to segment popular music based on rhythm. By computing a shortest path based on the self-similarity matrix calculated from a model of rhythm, segmenting boundaries are found along the diagonal of the matrix. The cost of a new segment is optimized by matching manual and automatic segment boundaries. We compile a small song database of 21 randomly selected popular Chinese ...

We propose a new musical audio search method based on audio signal matching that can cope with key and tempo variations. The method employs the self-similarity matrix of an audio signal to represent a key-invariant structure of musical audio. And, we use dynamic programming (DP) matching of self-similarity matrices to deal with time variations. However, conventional DP-based sequence matching m...