The dimension of the range of a transient random walk
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Publication:1990214
DOI10.1214/18-EJP201zbMath1414.60028arXiv1410.8582OpenAlexW2341347454MaRDI QIDQ1990214
Kunwoo Kim, Alex D. Ramos, Nicos Georgiou, Davar Khoshnevisan
Publication date: 25 October 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.8582
Sums of independent random variables; random walks (60G50) Probabilistic potential theory (60J45) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (3)
Potential method and projection theorems for macroscopic Hausdorff dimension ⋮ On sojourn of Brownian motion inside moving boundaries ⋮ Fractal dimension of discrete sets and percolation
Cites Work
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- Capacity and energy for multiparameter Markov processes
- Harmonic analysis of additive Lévy processes
- Measuring the range of an additive Lévy process
- Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
- Martin capacity for Markov chains
- Wiener's test and Markov chains
- Potentials and the random walk
- Packing dimension of the range of a Lévy process
- Defining Fractal Subsets of Z d
- Fractional dimension of sets in discrete spaces
- Reply to a paper by M T Barlow and S J Taylor (Fractional dimension of sets in discrete systems)
- Multiparameter Processes
- Weak unimodality of finite measures, and an application to potential theory of additive Lévy processes
- Recurrent Sets
- Multiple points for the sample paths of the symmetric stable process
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