Ergodicity of avalanche transformations

Manfred Heinz Denker, Ana Rodrigues

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)517-536
Number of pages20
JournalDynamical Systems
Volume29
Issue number4
DOIs
StatePublished - Oct 2 2014

Fingerprint

Avalanche
Ergodicity
Dynamical systems
Sudden Death
Central limit theorem
Deduce
Corollary
Dynamical system
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Computer Science Applications

Cite this

Denker, Manfred Heinz ; Rodrigues, Ana. / Ergodicity of avalanche transformations. In: Dynamical Systems. 2014 ; Vol. 29, No. 4. pp. 517-536.
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Denker, MH & Rodrigues, A 2014, 'Ergodicity of avalanche transformations', Dynamical Systems, vol. 29, no. 4, pp. 517-536. https://doi.org/10.1080/14689367.2014.947244

Ergodicity of avalanche transformations. / Denker, Manfred Heinz; Rodrigues, Ana.

In: Dynamical Systems, Vol. 29, No. 4, 02.10.2014, p. 517-536.

Research output: Contribution to journalArticle

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