In this paper, we study dynamical systems of product type and some particular inducing scheme motivated by neural dynamics (called avalanche transformation). We derive the distribution of avalanche sizes and give sufficient conditions such that the avalanche transformation is ergodic. Moreover, we deduce a multivariate central limit theorem as a corollary.In memoriam: Wenbo V. Li (1963-2013)1 A few weeks before his sudden death on 26 January 2013 we received a comment on this paper which is reproduced at the end of this paper.
All Science Journal Classification (ASJC) codes
- Computer Science Applications