# Kazuki Okamura’s homepage

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## Preprints

Hausdorff dimensions for graph-directed self-similar measures driven by infinite rooted treesarXiv:1703.03934

(with N. Berger, C. Mukherjee) Quenched large deviations for simple random walks on percolation models including long-range correlations, arXiv:1612.01393

Unions of random walk and percolation on infinite graphs, arXiv:1611.04095.

Enlargement of subgraphs of infinite graphs by Bernoulli percolation, arXiv:1506.05868.

Large deviations for simple random walk on percolations with long-range correlations,
arXiv:1308.2282.

## Papers (Refereed)

Singularity Results for Functional Equations Driven by Linear Fractional Transformations, Journal of Theoretical Probability 27 (2014) 1316-1328.

On the range of self-interacting random walks on an integer interval, Tsukuba Journal of Mathematics 38 (2014) 123-135.

On the range of random walk on graphs satisfying a uniform condition, ALEA, Latin American Journal of Probability and Mathematical Statistics 11 (2014) 341-357.

Random sequences with respect to a measure defined by two linear fractional transformations, Theory of Computing Systems 57 (2015) 226-237.

A new generalization of the Takagi function, Journal of Mathematical Analysis and Applications 434 (2016) 652-679.

On regularity for de Rham's functional equations, Aequationes Mathematicae 90 (2016) 1071-1085.

Enlargement of subgraphs of infinite graphs by Bernoulli percolation, Indagationes Mathematicae 28, (2017) 832-853

## Proceedings (Refereed)

Enlargement of subgraphs of infinite graphs by Bernoulli percolation : A summary,
RIMS K^oky^uroku Bessatsu
B59:
Stochastic Analysis on Large Scale Interacting Systems
July, 2016 227-236

#### Last Update: Aug 1, 2017