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- W4286585240 abstract "We consider some problems related to the truncation question in long-range percolation. It is given probabilities that certain long-range oriented bonds are open; assuming that this probabilities are not summable, we ask if the probability of percolation is positive when we truncate the graph, disallowing bonds of range above a possibly large but finite threshold. This question is still open if the set of vertices is $Z^2$. We give some conditions in which the answer is affirmative. One of these results generalize the previous result in [Alves, Hil'ario, de Lima, Valesin, Journ. Stat. Phys. {bf 122}, 972 (2017)]." @default.
- W4286585240 created "2022-07-22" @default.
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- W4286585240 date "2020-09-28" @default.
- W4286585240 modified "2023-10-17" @default.
- W4286585240 title "Truncation of long-range percolation model with square non-summable interactions" @default.
- W4286585240 doi "https://doi.org/10.48550/arxiv.2009.13671" @default.
- W4286585240 hasPublicationYear "2020" @default.
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