Random Walks on the Affine Group of a Homogeneous Tree in the Drift-Free Case

Author:

Buraczewski Dariusz,Kolesko Konrad

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference8 articles.

1. Brofferio, S.: Renewal theory on the affine group of an oriented tree. J. Theor. Probab. 17(4), 819–859 (2004)

2. Brofferio, S., Buraczewski, D., Damek, E.: On the invariant measure of the random difference equation X n =A n X n−1+B n in the critical case. Preprint, arXiv: 0809.1864

3. Buraczewski, D.: On invariant measures of stochastic recursions in a critical case. Ann. Appl. Probab. 17(4), 1245–1272 (2007)

4. Cartwright, D.I., Kaimanovich, V.A., Woess, W.: Random walks on the affine group of local fields and of homogeneous trees. Ann. Inst. Fourier (Grenoble) 44(4), 1243–1288 (1994)

5. Feller, W.: An Introduction to Probability Theory and Its Application II, 2nd edn. Wiley, New York (1971)

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