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researcher

A. Guttmann

98 papers hereh-index 415.6k citations278 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author4
  • first author20
  • middle author29
  • last author42

Across the 95 of 98 papers where every author was matched, so the position is known.

fields
  • cond-mat.stat-mech32
  • math.CO23
  • math-ph22
  • cond-mat8
  • hep-lat8
  • cond-mat.soft1

identity via Semantic Scholar / OpenAlex

activity
19922026
most citedStatistics of lattice animals (polyominoes) and polygons

130 citations · 2k across the 94 of their papers we have counts for

collaborators
Showing 2019Show all

3 papers · 1 filter

cond-mat.stat-mech2019★ 6 cited

Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents

Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen

We investigate, by series methods, the behaviour of interacting self-avoiding walks (ISAWs) on the honeycomb lattice and on the square lattice. This is the first such investigation…

cond-mat.stat-mech2019★ 3 cited

New scaling laws for self-avoiding walks: bridges and worms

Bertrand Duplantier, Anthony J Guttmann

We show how the theory of the critical behaviour of d-dimensional polymer networks gives a scaling relation for self-avoiding {\em bridges} that relates the critical exponent for…

math.CA2019

SanD primes and numbers

Freeman J. Dyson, Norman E. Frankel, Anthony J. Guttmann

We define S(um)anD(ifference) numbers as ordered pairs (m,m+Δ) such that the digital-sum DS(m(m+Δ))=Δ. We consider both the decimal and the binary case. If both m and $m+Δ…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.