Self-repelling walk on the Sierpiński gasket

DOI10.1007/S004400100192zbMath1017.60101OpenAlexW1990964765MaRDI QIDQ1849742

Tetsuya Hattori, Kumiko Hattori, Benjamin M. Hambly

Publication date: 1 December 2002

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004400100192

zbMATH Keywords

Sierpiński gasketself-repelling processes

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

Scaling limits of loop-erased Markov chains on resistance spaces via a partial loop-erasing procedure ⋮ RECURRENCE OF SELF-REPELLING AND SELF-ATTRACTING WALKS ON THE PRE-SIERPIŃSKI GASKET AND ℤ ⋮ A multi-parameter family of self-avoiding walks on the Sierpiński gasket ⋮ A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpiński gasket ⋮ Displacement exponent for loop-erased random walk on the Sierpiński gasket ⋮ Hamiltonian walks on the Sierpinski gasket

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