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#Lattice Models

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University of Chicago Department of Mathematics

Random Planar Geometry and the Directed Landscape

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Dive into random planar geometry and the directed landscape, exploring universal scaling limits in random metrics and interface growth models with Duncan Dauvergne.
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1 Lesons
56 minutes
On-Demand
Free-Video
ICTP-SAIFR

Uma (Perc)olhada na Percolação

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Explore o fascinante mundo da percolação e suas aplicações na física, com foco em conceitos fundamentais e fenômenos emergentes.
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1 Lesons
19 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Geometrical Web Models

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Explore geometrical web models with Jesper Jacobsen in this insightful conference talk from CIRM's Audiovisual Mathematics Library.
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1 Lesons
1 hour
On-Demand
Free-Video
Fields Institute

Advanced Course I: Schramm Loewner Evolution and Lattice Models - Lecture 2, Part 2

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Explore advanced concepts in Schramm Loewner Evolution and lattice models, focusing on theoretical foundations and applications in mathematical physics and probability theory.
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1 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Schramm Loewner Evolution and Lattice Models - Advanced Course Lecture 1, Part 1

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Explore Schramm Loewner Evolution and its connections to lattice models in this advanced mathematics lecture, delving into complex analysis and probability theory.
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1 Lesons
50 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Dimer Models and Random Tilings - Part 1

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Explore dimer models and random tilings with Cédric Boutillier. Learn about Kasteleyn's theory, combinatorial correspondences, and asymptotic methods for studying perfect matchings on lattices.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Geometry of Dimer Models

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Explore the asymptotic phenomena of random dimer coverings on large planar graphs, focusing on Aztec diamonds and their connection to Riemann surface geometry in this advanced mathematics lecture.
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1 Lesons
55 minutes
On-Demand
Free-Video
NCCR SwissMAP

Double Scaling Limits of Rectangular Fishnets - Integrability in Condensed Matter Physics and Quantum Field Theory

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Explore integrability in condensed matter physics and quantum field theory through double scaling limits of rectangular fishnets.
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1 Lesons
58 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Random Plane Geometry - A Gentle Introduction

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Explore random plane geometry and its scaling limits, focusing on first passage percolation and the directed landscape in Kardar-Parisi-Zhang models.
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1 Lesons
52 minutes
On-Demand
Free-Video
BIMSA

Random Walk on Dynamical Percolation: Separating Critical and Supercritical Regimes

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Explore random walks on dynamical percolation, examining critical and supercritical regimes in infinite regular trees and lattices. Analyze speed bounds and mean squared displacement.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Phase Transitions in Hard-Core Systems - Lecture 1

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Explore phase transitions in hard-core systems, from basic concepts to advanced topics like fluid-solid transitions in hard spheres and phase changes in long rods. Includes theoretical foundations and computational approaches.
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19 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Lattice Models and Ab Initio Descriptions of Correlated Materials - IPAM at UCLA

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Explore correlated electron materials through low-energy models and ab initio calculations, focusing on properties of cuprates and advanced quantum mechanics techniques.
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1 Lesons
43 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Arctic Curves for Vertex Models

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Exploration of arctic curves in 2D integrable lattice models, focusing on 6 Vertex and 20 Vertex models. Discusses phase boundaries, tangent method, and related combinatorial results in tiling problems.
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1 Lesons
58 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Rotational Invariance of Planar Random Cluster Models and Beyond

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Exploration of rotational invariance in planar random cluster models, discussing its applications and potential for new insights into critical models on Z^2.
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1 Lesons
56 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Critical Phenomena Through the Lens of the Ising Model

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Explore critical phenomena in the Ising model, from its origins in ferromagnetism to recent breakthroughs in three and four dimensions using probabilistic interpretations and percolation models.
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1 Lesons
56 minutes
On-Demand
Free-Video
Fields Institute

Coulomb Gas and Lattice Models

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Explore Coulomb gas and lattice models in statistical physics, examining their properties, applications, and connections to other mathematical concepts.
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1 Lesons
45 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Bootstrapping the Ising Model on the Lattice

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Explore advanced techniques for analyzing the Ising model on lattices using bootstrap methods, uncovering critical behavior and phase transitions in statistical physics.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Conformal Field Theory Approach to Quantum Loop Models

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Explore conformal field theory's application to quantum loop models, uncovering connections between statistical mechanics and quantum field theory.
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1 Lesons
52 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Integrable Quantum Circuits from Statistical Mechanics

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Explore quantum integrability and its applications in out-of-equilibrium physics, focusing on constructing integrable quantum circuits using statistical mechanics methods.
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10 Lesons
23 minutes
On-Demand
Free-Video
ICTP-SAIFR

Entanglement Phase Transition and Holography on a Lattice

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Explore entanglement phase transitions and holography on lattices with insights from SISSA Trieste researcher Zhao Zhang in this advanced physics seminar.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
USC Probability and Statistics Seminar

Delocalization of Planar Integer-Valued Height Functions and O(2)-Invariant Spin Models

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Explore delocalization of planar integer-valued height functions and its relation to O(2)-invariant spin models, offering insights into the Berezinksii-Kosterlitz-Thouless phase transition.
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14 Lesons
57 minutes
On-Demand
Free-Video
USC Probability and Statistics Seminar

Critical Behaviour in Hierarchical Percolation - Statistical Mechanics Models

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Explore critical behavior in hierarchical percolation, examining phase transitions, fractal-like patterns, and critical exponents across dimensions.
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1 Lesons
51 minutes
On-Demand
Free-Video
NCCR SwissMAP

On the Influence of Boundary Conditions on the Critical Behaviour of the Staggered Six-Vertex Model

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Explore critical behavior in staggered six-vertex models, focusing on boundary condition effects and integrability in condensed matter physics and quantum field theory.
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1 Lesons
49 minutes
On-Demand
Free-Video
NCCR SwissMAP

Geometrical Web Models in Integrability and Condensed Matter Physics - Lecture 1

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Explore integrability in condensed matter physics and quantum field theory through geometrical web models, gaining insights from cutting-edge research.
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1 Lesons
59 minutes
On-Demand
Free-Video
NCCR SwissMAP

An Ising-Type Formulation of the Six-Vertex Model

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Explore integrability in condensed matter physics and quantum field theory through an Ising-type formulation of the six-vertex model.
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1 Lesons
55 minutes
On-Demand
Free-Video
IPhT-TV

From Combinatorial Maps to Correlation Functions in Loop Models

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Explore combinatorial maps and their connection to correlation functions in loop models, delving into advanced mathematical concepts and their applications.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
MuST Program for Disordered Materials

Backflow Corrections of Green Functions: Benchmarks on the Two-dimensional Fermi-Hubbard-type Model

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Explore computational methods for solving the Fermi-Hubbard model, focusing on backflow corrections of Green functions to improve correlation capture in quantum many-body systems.
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1 Lesons
24 minutes
On-Demand
Free-Video
Bogolyubov Institute for Theoretical Physics

Неермітові моделі ферміонів на ґратці

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Дослідіть неермітові моделі ферміонів на ґратці разом з аспірантом Едуардом Найчуком у рамках семінару з теоретичної фізики для поглиблення знань у квантовій механіці.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Aspects of Quantum Simulation of the Fermi-Hubbard Model - IPAM at UCLA

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Explore quantum simulation of the Fermi-Hubbard model, focusing on Trotter error bounds and optimization techniques for improved accuracy in quantum circuits and time evolution algorithms.
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1 Lesons
49 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Circuit Depth Versus Energy in Topologically Ordered Systems

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Delve into circuit depth analysis for quantum many-body systems, exploring energy-depth relationships and geometric constraints in topologically ordered systems through theoretical proofs.
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14 Lesons
21 minutes
On-Demand
Free-Video
CdoGEO of Kazan Federal University

Percolation Theory

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Explore percolation theory, its applications, and fundamental concepts in complex systems and network analysis.
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1 Lesons
19 minutes
On-Demand
Free-Video
BIMSA

Fracton Quantum Order

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Explore fracton phases in quantum systems, their restricted mobility excitations, and ground-space degeneracy. Review key developments and unifying perspectives on these emergent phases.
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1 Lesons
53 minutes
On-Demand
Free-Video
HyperComplex Seminar

Hybrid Schrödinger-Ginzburg-Landau Approach in Study of Superconducting Integrated Structures

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Explore a hybrid Schrödinger-Ginzburg-Landau approach for simulating superconducting lattices and integrated structures. Learn about relaxation algorithms and modeling techniques for superconducting devices.
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1 Lesons
33 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Critical Phenomena Through the Lens of the Ising Model

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Explore critical phenomena through the Ising model with Hugo Duminil-Copin's lecture at IMPA's 70th anniversary conference, featuring insights from a renowned mathematician.
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1 Lesons
57 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Convergence of the Ising-Kac Model to Φ4 in Three Dimensions

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Explore the convergence of the Ising-Kac model to $\Phi^4$ in 3D, analyzing Glauber dynamics and applying regularity structure theory to discrete particle systems.
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1 Lesons
40 minutes
On-Demand
Free-Video
ICTP-SAIFR

Impurities in the Extended Hofstadter-Hubbard Model

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Explore impurities in the extended Hofstadter-Hubbard model, examining their effects on quantum systems and potential applications in condensed matter physics.
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1 Lesons
33 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Defects and Duality on the Lattice - Tensor Networks in Lattice Models

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Explore lattice models, tensor networks, and topological defects in quantum systems. Gain insights into symmetries, duality, and exact computations in boundary CFT and critical phenomena.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

Anomalous Skin Effects in Disordered Systems with a Single Non-Hermitian Impurity

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Explore anomalous skin effects in disordered systems with non-Hermitian impurities. Discover scale-free localization, boundary accumulation, and potential applications in sensing and control of non-Hermitian systems.
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19 Lesons
1 hour 9 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

Klein Bottle Partition Function and Tensor Networks in 2D Conformal Critical Theories

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Explore the combination of Klein bottle partition function and tensor networks to analyze 2D conformal critical theories and adjacent phases, including universal entropy and scaling functions.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
ICTP-SAIFR

Learning Probability Distributions of Neuronal Activity Patterns - Max Entropy Models

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Explore max entropy models for understanding neuronal activity patterns and probability distributions in biological systems.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

2D Percolation Revisited

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Explore 2D percolation theory with Fields Medalist Stanislav Smirnov in this IMPA 70th anniversary conference talk. Gain insights into advanced mathematical concepts and recent developments in the field.
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1 Lesons
1 hour
On-Demand
Free-Video
Dublin Institute for Advanced Studies DIAS

Staggered Bosons - Novel Field Theories with Half Boson Degrees of Freedom

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Explore novel field theories with half-boson degrees of freedom per lattice site, examining gapless systems, topological properties, and connections to critical spin chains.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

Finding the Missed Topological Operators in Lattice Models

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Explore the profound connection between higher category theory and lattice models, uncovering solutions to long-standing topological operator challenges in quantum field theory.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Phase Transitions in a System of Long Hard Rods on a Lattice

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Explore phase transitions and behavior of long hard rods on lattice systems through rigorous mathematical analysis and integrable system theory in theoretical physics.
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1 Lesons
52 minutes
On-Demand
Free-Video