Some Results for Hard Rods of Inhomogeneous Size
Explore results for hard rods of varying sizes in particle systems. Analyze hydrodynamic equations, Cauchy problems, and effective velocities in comparison to soliton gas models.
Box-Ball Systems: Reviews and Recent Developments - Lecture 1
Explore box-ball systems' integrability, combinatorial Yang-Baxter equation, and generalizations. Delve into Kirillov-Reshetikhin crystals and recent developments in boundary conditions.
Invariant Measures for KPZ Systems with Boundaries
Explore invariant measures for KPZ systems with boundaries in this mathematical workshop presentation by Ivan Corwin.
Polynuclear Growth and the Toda Lattice
Explore polynuclear growth models in KPZ universality, examining integrable Markov processes and determinantal formulas governed by the non-Abelian 2D Toda lattice.
Direct and Inverse Scattering for the Ultradiscrete KdV Equation
Explore direct and inverse scattering methods for solving the ultradiscrete KdV equation, including the Takahashi-Satsuma Box & Ball system, using Darboux transformations and eigenfunctions.
Viewpoints Brought by the Box and Ball System
Explore the box and ball system's evolution from cellular automaton to integrable system, examining its applications in traffic flow, pattern formation, and chaos through ultradiscretization and max-plus representations.
Gap Labelling II
Explore advanced concepts in gap labelling theory, focusing on periodic and ergodic spectral problems in mathematical physics.
Potential Theoretic Methods for Deterministic Schrödinger Operators
Explorez les méthodes de théorie du potentiel pour les opérateurs de Schrödinger déterministes, présentées par Wilhelm Schlag de l'Université Yale.
Large Coupling Limits of Integrable Spin Chains
Explore dynamics of integrable spin chains, focusing on XXZ chain and Hubbard model. Examine large coupling limits and emerging effective theories in various physical situations.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 3
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures et leurs liens avec d'autres domaines mathématiques.
Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 4
Explore connections between modular tensor categories, quantum groups, and vertex algebras. Delve into the logarithmic Kazhdan–Lusztig conjecture linking quantum groups and vertex algebras.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 4
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures et leurs liens avec d'autres domaines mathématiques.
VOAs from Higher-Dimensional Quantum Field Theories - Part I
Explore vertex operator algebras from quantum field theories in 2-6 dimensions, focusing on connections to other mathematical branches.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 2
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures, en mettant l'accent sur leurs liens avec d'autres domaines mathématiques.
W-algebras and Lax Operators - Lecture 1
Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures using advanced algebraic techniques.
Dynamics of Quantum Integrable Systems via Coupled Heisenberg Equations
Explore quantum integrable systems dynamics using coupled Heisenberg equations. Analyze Onsager algebra models and Kitaev model, uncovering new analytical results for quench dynamics and related algebras.
Universality and Conformal Invariance in Critical Percolation Models
Explore critical percolation models' universal behavior and conformal invariance through Yang-Baxter integrable systems and Virasoro algebra representations. Gain insights into partition functions on cylinders and tori.
Onsager Algebras in Quantum Lattice Models
Explore Onsager algebras in quantum lattice models, their role in exactly solvable systems, and recent developments in integrable quantum physics.
Diagonalization of Heun-Askey-Wilson Operator Leonard Pairs and Algebraic Bethe Ansatz
Explore diagonalization of Heun-Askey-Wilson operators using Leonard pairs and algebraic Bethe ansatz. Delve into eigenstates, Bethe equations, T-Q relations, and connections to Askey-Wilson polynomials.
Duality, Onsager Algebra and Ising-Type Structures in Root-of-Unity Six-Vertex Models
Explore duality, Onsager algebra, and Ising-type structures in root-of-unity six-vertex models. Uncover connections between quantum group representations and symmetries in integrable systems.
New Solutions to the Tetrahedron Equation Associated with Quantized Six-Vertex Models
Explore new solutions to the tetrahedron equation RLLL = LLLR, focusing on quantized six-vertex models and their connections to q-oscillator and q-Weyl algebras.