Jan de Gier

Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras

Publisher: IOP Publishing

Date: 23-03-2000

DOI: 10.1088/0305-4470/33/12/101

Traffic flow on realistic road networks with adaptive traffic lights

Publisher: IOP Publishing

Date: 08-04-2011

DOI: 10.1088/1742-5468/2011/04/P04008

Autocorrelations in the totally asymmetric simple exclusion process and Nagel-Schreckenberg model

Publisher: American Physical Society (APS)

Date: 10-08-2010

DOI: 10.1103/PHYSREVE.82.021107

Exactly solvable su(N) mixed spin ladders

Publisher: Springer Science and Business Media LLC

Date: 2001

DOI: 10.1023/A:1004886500083

The quantum symmetricXXZchain at Δ = -½, alternating-sign matrices and plane partitions

Publisher: IOP Publishing

Date: 02-05-2001

DOI: 10.1088/0305-4470/34/19/101

2017 MATRIX Annals

Publisher: Springer International Publishing

Date: 2019

DOI: 10.1007/978-3-030-04161-8

Phase diagram of the SU(8) quantum spin tube

Publisher: American Physical Society (APS)

Date: 06-2000

DOI: 10.1103/PHYSREVB.61.15196

Magnetization plateaux in Bethe ansatz solvable spin-Sladders

Publisher: American Physical Society (APS)

Date: 29-07-2003

DOI: 10.1103/PHYSREVB.68.024418

TheGaiamission

Publisher: EDP Sciences

Date: 11-2016

DOI: 10.1051/0004-6361/201629272

The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is $${1+\sqrt{2}}$$ 1 + 2

Publisher: Springer Science and Business Media LLC

Date: 20-02-2014

DOI: 10.1007/S00220-014-1896-1

The XXZ spin chain at Δ=−1/2: Bethe roots, symmetric functions, and determinants

Publisher: AIP Publishing

Date: 19-07-2002

DOI: 10.1063/1.1487445

Abstract: A number of conjectures have been given recently concerning the connection between the antiferromagnetic XXZ spin chain at Δ=−1/2 and various symmetry classes of alternating sign matrices. Here we use the integrability of the XXZ chain to gain further insight into these developments. In doing so we obtain a number of new results using Baxter’s Q function for the XXZ chain for periodic, twisted and open boundary conditions. These include expressions for the elementary symmetric functions evaluated at the ground state solution of the Bethe roots. In this approach Schur functions play a central role and enable us to derive determinant expressions which appear in certain natural double products over the Bethe roots. When evaluated these give rise to the numbers counting different symmetry classes of alternating sign matrices.

Off-critical parafermions and the winding angle distribution of the O(n) model

Publisher: IOP Publishing

Date: 18-06-2012

DOI: 10.1088/1751-8113/45/27/275002

GaiaData Release 1

Publisher: EDP Sciences

Date: 11-2016

DOI: 10.1051/0004-6361/201629512

Transition probability and total crossing events in the multi-species asymmetric exclusion process

Publisher: IOP Publishing

Date: 06-2023

DOI: 10.1088/1751-8121/ACD5BE

Abstract: We present explicit formulas for total crossing events in the multi-species asymmetric exclusion process ( r -ASEP) with underlying U q ( s l ˆ r + 1 ) symmetry. In the case of the two-species TASEP these can be derived using an explicit expression for the general transition probability on Z in terms of a multiple contour integral derived from a nested Bethe ansatz approach. For the general r -ASEP we employ a vertex model approach within which the probability of total crossing can be derived from partial symmetrisation of an explicit high rank rainbow partition function. In the case of r -TASEP, the total crossing probability can be show to reduce to a multiple integral over the product of r determinants. For two-TASEP we additionally derive convenient formulas for cumulative total crossing probabilities using Bernoulli-step initial conditions for particles of type 2 and type 1 respectively.

Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries

Publisher: IOP Publishing

Date: 11-10-2016

DOI: 10.1088/1751-8113/49/44/444002

Traffic disruption and recovery in road networks

Publisher: Elsevier BV

Date: 05-2014

DOI: 10.1016/J.PHYSA.2014.01.034

Punctured plane partitions and the q-deformed Knizhnik–Zamolodchikov and Hirota equations

Publisher: Elsevier BV

Date: 05-2009

DOI: 10.1016/J.JCTA.2008.11.008

THE ROTOR MODEL AND COMBINATORICS

Publisher: World Scientific Pub Co Pte Lt

Date: 20-06-2002

DOI: 10.1142/S0217979202011597

Abstract: We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O (n = 1) model we find the number A V (2m + 1 ), which 3-enumerates vertically symmetric alternating sign matrices.

A New Generalisation of Macdonald Polynomials

Publisher: Springer Science and Business Media LLC

Date: 17-01-2017

DOI: 10.1007/S00220-016-2818-1

A comparative study of Macroscopic Fundamental Diagrams of arterial road networks governed by adaptive traffic signal systems

Publisher: Elsevier BV

Date: 03-2013

DOI: 10.1016/J.TRB.2012.12.002

The R-Matrix of the Quantum Toroidal Algebra $$U_{q,t}(\overset{..}{gl}_1)$$ in the Fock Module

Publisher: Springer Science and Business Media LLC

Date: 23-02-2021

DOI: 10.1007/S00220-021-04023-Z

Exact expressions for correlations in the ground state of the dense O(1) loop model

Publisher: IOP Publishing

Date: 10-2004

DOI: 10.1088/1742-5468/2004/09/P09010

Università Degli Studi Di Pisa

Location: Italy

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Istituto Nazionale Di Astrofisica

Location: Italy

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Linkage - International - Grant ID: LX0774784

Start Date: 10-2006

End Date: 12-2009

Amount: $12,000.00

Funder: Australian Research Council

Linkage - International - Grant ID: LX0882874

Start Date: 2008

End Date: 07-2010

Amount: $14,500.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP0988563

Start Date: 07-2009

End Date: 04-2014

Amount: $285,000.00

Funder: Australian Research Council

Linkage Projects - Grant ID: LP120100258

Start Date: 02-2012

End Date: 06-2015

Amount: $205,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP0772708

Start Date: 2008

End Date: 12-2012

Amount: $400,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP140102201

Start Date: 01-2014

End Date: 06-2017

Amount: $340,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP190102897

Start Date: 06-2019

End Date: 12-2023

Amount: $300,000.00

Funder: Australian Research Council

Linkage Infrastructure, Equipment And Facilities - Grant ID: LE220100107

Start Date: 2022

End Date: 12-2023

Amount: $347,000.00

Funder: Australian Research Council

Linkage - International - Grant ID: LX0453396

Start Date: 12-2003

End Date: 12-2006

Amount: $34,200.00

Funder: Australian Research Council

ARC Centres Of Excellence - Grant ID: CE140100049

Start Date: 06-2014

End Date: 12-2021

Amount: $20,000,000.00

Funder: Australian Research Council

ARC Centre Of Excellence For Mathematical And Statistical Frontiers Of Big Data, Big Models, New Insights

Start Date: 2014

End Date: 2020

Funder: Australian Research Council

(Modelling Large Urban Transport Networks Using Stochastic Cellular Automata)

Start Date: 2012

End Date: 2014

Funder: Australian Research Council