Toomey, F.
(1999)
*Large Deviations of Products of Random Topical Operators.*
(Preprint)

Text
DIAS-STP-99-04.pdf Download (510kB) |

## Abstract

A topical operator on R^d is one which is isotone and homogeneous. Let {A(n) : n ≥ 1} be a sequence of i.i.d. random topical operators such that A(1) is almost surely bounded for large n. If the projective radius of A(n) {x(n) : n ≥ 1} is a sequence of vectors given by x(n) = A(n)...A(1)x_0, for some fixed initial condition x_0, then the sequence {x(n)/n : n ≥ 1} satisfies a weak large deviation principle. As corollaries of this result we obtain large deviation principles for products of certain random aperiodic max-plus and min-plus matrix operators, and for products of certain random aperiodic non-negative matrix operators.

Item Type: | Article |
---|---|

Divisions: | School of Theoretical Physics > Preprints |

Date Deposited: | 19 Jun 2018 13:50 |

Last Modified: | 18 Dec 2022 02:39 |

URI: | https://dair.dias.ie/id/eprint/564 |

## Actions (login required)

View Item |

### Downloads

Downloads per month over past year