Six-Vertex, Loop and Tiling models: Integrability and Combinatorics

Paul Zinn-Justin

Type: Preprint

Publication Date: 2009-01-01

Citations: 74

DOI: https://doi.org/10.48550/arxiv.0901.0665

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	INTEGRABLE COMBINATORICS	2019	Philippe Di Francesco
+	Approximability of the Six-vertex Model	2017	Jin‐Yi Cai Tianyu Liu Pinyan Lu
+	Integrable models and combinatorics	2015	N. M. Bogolyubov C. Malyshev
+ PDF Chat	Approximability of the Six-vertex Model	2019	Jin‐Yi Cai Tianyu Liu Pinyan Lu
+	Integrable Combinatorics	2017	Philippe Di Francesco
+ PDF Chat	Introduction to solvable lattice models in statistical and mathematical physics	2019	Tetsuo Deguchi
+	Integrable 3D Statistical Models on Six-Valent Graphs	2018	I. G. Korepanov D. Talalaev G. Sharygin
+	Fractal structure of the six-vertex model	2007	Kazuhiko Minami
+	Approximability of the eight-vertex model	2020	Jin‐Yi Cai Tianyu Liu Pinyan Lu Jing Yu
+	Approximability of the Eight-vertex Model	2018	Jin‐Yi Cai Tianyu Liu Pinyan Lu Jing Yu
+	Triangular lattice Potts models	1982	I. G. Enting F. Y. Wu
+ PDF Chat	Integrable spin, vertex and loop models	2019	Paul Melotti
+	INTEGRABLE COMBINATORICS	2013	Philippe Di Francesco
+	Statistical Mechanics, Integrability and Combinatorics	2016	Filippo Colomo Paul Fendley A. G. Pronko Nicolai Reshetikhin P. Wiegmann Paul Zinn-Justin
+	Some algebraic structures in KPZ universality	2018	Nikos Zygouras
+ PDF Chat	Some algebraic structures in KPZ universality	2022	Nikos Zygouras
+	Selberg integrals, Askey–Wilson polynomials and lozenge tilings of a hexagon with a triangular hole	2015	Hjalmar Rosengren
+	Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole	2015	Hjalmar Rosengren
+	Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole	2015	Hjalmar Rosengren
+	Enumerative Combinatorics	2023	Mireille Bousquet‐Mélou Guillaume Chapuy Michael Drmota Sergi Elizalde

Works That Cite This (74)

Action	Title	Year	Authors
+	Fully Packed Loops in a triangle: Matchings, paths and puzzles	2014	Ilse Fischer Philippe Nadeau
+	Proof of the Razumov–Stroganov conjecture	2011	Luigi Cantini Andrea Sportiello
+	Free fermions and tau-functions	2013	A. Alexandrov A. Zabrodin
+	Exact loop densities in O(1) dense loop model on a cylinder of odd circumference and clusters in half-turn self-dual critical percolation	2024	A. M. Povolotsky Anastasia Trofimova
+	Pfaffian structures and certain solutions to BKP hierarchies II. Multiple integrals	2016	A. Yu. Orlov Takahiro Shiota Kanehisa Takasaki
+	Factorial Schur Functions and the Yang-Baxter Equation	2014	Daniel Bump Peter J. McNamara Maki Nakasuji
+	Special polynomials related to the supersymmetric eight-vertex model. I. Behaviour at cusps	2013	Hjalmar Rosengren
+	Schur Polynomials and the Yang-Baxter equation	2009	Ben Brubaker Daniel Bump Solomon Friedberg
+ PDF Chat	A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain	2020	Linnea Hietala
+	Type $\hat{\mathrm C}$ Brauer loop schemes and loop model with boundaries	2014	Anita Ponsaing Paul Zinn-Justin

Works Cited by This (92)

Action	Title	Year	Authors
+	Another proof of the alternating sign matrix conjecture	1997	Greg Kuperberg
+ PDF Chat	Equidimensionality of the Brauer Loop Scheme	2010	Brian Rothbach
+	Random Domino Tilings and the Arctic Circle Theorem	1998	William Jockusch James Propp Peter W. Shor
+	Symmetric Functions and Combinatorial Operators on Polynomials	2003	Alain Lascoux
+	Lectures on dimers	2009	Richard Kenyon
+	Combinatorial Commutative Algebra	2005	Ezra Miller Bernd Sturmfels
+	Exact Solution of the Six-Vertex Model with Domain Wall Boundary Conditions	2009	Pavel Bleher
+	Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram	2003	Andreĭ Okounkov Nicolai Reshetikhin
+	The Influence of Boundary Conditions in the Six-Vertex Model	2002	Paul Zinn-Justin
+	From Orbital Varieties to Alternating Sign Matrices	2005	Philippe Di Francesco Paul Zinn-Justin