Complex zero-free regions at large |q| for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights

D.V. Widder, The Laplace Transform

1946

Earlier work this paper cites.

R.B. Potts, Some generalized order-disorder transformations, Proc. Cambridge Philos. Soc. 48

1952

Earlier work this paper cites.

C.N. Yang and T.D. Lee, Statistical theory of equations of state and phase transitions, I. Theory of condensation, Phys. Rev. 87

1952

Earlier work this paper cites.

N.I. Akhiezer, The Classical Moment Problem and Some Related Questions in Analysis

1965

Earlier work this paper cites.

O. Penrose, Convergence of fugacity expansions for classical systems, in T.A. Bak (editor), Statistical Mechanics: Foundations and Applications

1967

Earlier work this paper cites.

C. Gruber and H. Kunz, General properties of polymer systems, Commun. Math. Phys. 22

1971

Earlier work this paper cites.

C. Berg, The Stieltjes cone is logarithmically convex, in Complex Analysis, Joensuu 1978

1979

Earlier work this paper cites.

C. Berg, Quelques remarques sur le cône de Stieltjes, in Séminaire de Théorie du Potentiel, Paris, No. 5

1980

Earlier work this paper cites.

F.Y. Wu, The Potts model, Rev. Mod. Phys. 54

1983

Earlier work this paper cites.

F.Y. Wu, Potts model of magnetism (invited), J. Appl. Phys. 55

1984

Earlier work this paper cites.

R. Kotecký and D. Preiss, Cluster expansion for abstract polymer models, Commun. Math. Phys. 103

1986

Earlier work this paper cites.

L. Laanait, A. Messager and J. Ruiz, Phases coexistence and surface tensions for the Potts model, Commun. Math. Phys. 105

1986

Earlier work this paper cites.

D.H. Martirosian, Translation invariant Gibbs states in the q q -state Potts model, Commun. Math. Phys. 105

1986

Cited alongside, same era.

R. Kotecký, L. Laanait, A. Messager and J. Ruiz, The q q -state Potts model in the standard Pirogov-Sinai theory: Surface tensions and Wilson loops, J. Stat. Phys. 58

1990

Cited alongside, same era.

C. Borgs, R. Kotecký and S. Miracle-Solé, Finite-size scaling for Potts models, J. Stat. Phys. 62

1991

Cited alongside, same era.

L. Laanait, A. Messager, S. Miracle-Solé, J. Ruiz and S. Shlosman, Interfaces in the Potts model. I. Pirogov-Sinai theory of the Fortuin-Kasteleyn representation, Commun. Math. Phys. 140

1991

Cited alongside, same era.

A. Björner, The homology and shellability of matroids and geometric lattices, in N. White (editor), Matroid Applications

1992

Cited alongside, same era.

A.D. Sokal, Chromatic roots are dense in the whole complex plane, Combin. Probab. Comput. 13

2004

Later among the works it cites.

A.D. Scott and A.D. Sokal, The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma, J. Statist. Phys. 118

2005

Later among the works it cites.

A.D. Sokal, The multivariate Tutte polynomial (alias Potts model) for graphs and matroids, in Surveys in Combinatorics, 2005

2005

Later among the works it cites.

C. Borgs, Absence of zeros for the chromatic polynomial of bounded degree graphs, Combin. Probab. Comput. 15

2006

Later among the works it cites.

R. Fernández and A. Procacci, Cluster expansion for abstract polymer models: New bounds from an old approach, Commun. Math. Phys. 274

2007

Later among the works it cites.