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Jörg Neunhäuserer
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## Associate Lecturer / neunchen@aol.com

Beuth University Berlin

# Random walks on infinite self-similar graphs

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### Description

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**Title**: Random walks on infinite self-similar graphs

**Author(s)**: Jörg Neunhäuserer

**Abstract**: We introduce a class of rooted infinite self-similar graphs containing the well known Fibonacci graph and graphs associated with Pisot numbers. We consider directed random walks on these graphs and study their entropy and their limit measures. We prove that every infinite self-similar graph has a random walk of full entropy and that the limit measures of this random walks are absolutely continuous

**Keywords**: random walks, self-similar graphs, entropy

**Subject**: unspecified

**Area**: Mathematics

**Language**: English

**Year**: 2007

Affiliations : |
Beuth University Berlin |

**Journal**: Electronic Journal of Probability

**Volume**: 12

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### Jörg's * Peer Evaluation activity*

Downloads | 6115 |

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- 620 A construction of singular overlapping self-similar measures
- 540On inhomogeneous Bernoulli convolution and random power series
- 534On the Hausdorff dimension of fractals given by certain expansions of real numbers
- 487A family of exceptional parameters for non-uniform self-similar measures
- 471The weighted Moran formula for the dimension of generic McMullen-Bedford carpets
- 414Absolutely continuous random power series in reciprocals of Pisot numbers
- 370Panmentalism
- 338Random walks on infinite self-similar graphs
- 334Remarks on random Fibonacci sums
- 323Dimensional theoretical properties of some affine dynamical systems
- 272Dimensional theoretical properties of some affine dynamical systems
- 203Dimension theoretical properties of generalized Baker's transformations
- 192Geometric series with randomly increasing exponents
- 191Nonuniform Markov geometric measures
- 181 Properties of some overlapping self-similar and some self-affine measures
- 98Hundred beautiful mathematical theorems with short proofs
- 10 An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups

Views | 100 |

- 40Dimension theoretical properties of generalized Baker's transformations
- 12A family of exceptional parameters for non-uniform self-similar measures
- 8 An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups
- 6Panmentalism
- 5 A construction of singular overlapping self-similar measures
- 4On the Hausdorff dimension of fractals given by certain expansions of real numbers
- 4On inhomogeneous Bernoulli convolution and random power series
- 4The weighted Moran formula for the dimension of generic McMullen-Bedford carpets
- 4Hundred beautiful mathematical theorems with short proofs
- 4From number theory to dynamical systems via geometric measure theory
- 3Random walks on infinite self-similar graphs
- 3 Properties of some overlapping self-similar and some self-affine measures
- 2Dimensional theoretical properties of some affine dynamical systems
- 1Dimensional theoretical properties of some affine dynamical systems

Funded by | 1 |

- Marie Curie fellow, Grant Number 1 / Year 2009

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