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Universality of high-dimensional spanning forests and sandpiles

Universality of high-dimensional spanning forests and sandpiles

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2235402882

Universality of high-dimensional spanning forests and sandpiles

About this item

Full title

Universality of high-dimensional spanning forests and sandpiles

Author / Creator

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

Journal title

Probability theory and related fields, 2020-02, Vol.176 (1-2), p.533-597

Language

English

Formats

Publication information

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

More information

Scope and Contents

Contents

We prove that the wired uniform spanning forest exhibits mean-field behaviour on a very large class of graphs, including every transitive graph of at least quintic volume growth and every bounded degree nonamenable graph. Several of our results are new even in the case of
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. In particular, we prove that every tree in...

Alternative Titles

Full title

Universality of high-dimensional spanning forests and sandpiles

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2235402882

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2235402882

Other Identifiers

ISSN

0178-8051

E-ISSN

1432-2064

DOI

10.1007/s00440-019-00923-3

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