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#Interacting Particle Systems

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Fields Institute

TASEP in Half-Space: Modeling and Analysis of Particle Systems

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Dive into the intricacies of TASEP in Half-space with Xincheng Zhang's insightful seminar, exploring advanced concepts in probability theory and statistical mechanics.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Some Considerations About Social Dynamics Models

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Découvrez les modèles de dynamique sociale à travers le parcours d'une mathématicienne spécialiste des équations aux dérivées partielles. Explorez les systèmes de particules en interaction et les systèmes sur graphes.
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6 Lesons
28 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Quantitative Homogenization of Interacting Particle Systems

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Explore quantitative homogenization of interacting particle systems with Jean-Christophe Mourrat. Gain insights into functional inequalities, optimal transport, and particle systems in this advanced mathematics lecture.
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1 Lesons
57 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Hydrodynamics, Fluctuations, and Universality of Interacting Particle Systems

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Explore hydrodynamics, fluctuations, and universality in interacting particle systems with Patrícia Gonçalves at IMPA's 70th anniversary conference, featuring insights from leading mathematicians worldwide.
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1 Lesons
1 hour
On-Demand
Free-Video
International Mathematical Union

Ronen Eldan- Revealing the Simplicity of High-Dimensional Objects via Pathwise Analysis

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Explore high-dimensional geometry through pathwise analysis, revealing simple structures in complex spaces and their applications in probability theory and statistical physics.
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16 Lesons
45 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Geometry and Complex Networks - A Powerful Partnership

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Explore the intersection of geometry and complex networks, uncovering powerful applications in network science, data analysis, and modeling real-world systems.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
International Mathematical Union

KPZ Limit Theorems

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Explores KPZ universality in particle systems, growth models, and polymers, discussing limit theorems, integrable methods, and recent results on periodic domains.
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16 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Ricci Curvature and Functional Inequalities for Interacting Particle Systems

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Explore entropic Ricci curvature bounds and their applications to interacting particle systems, focusing on functional inequalities and convergence rates to equilibrium in nonnegative curvature scenarios.
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12 Lesons
45 minutes
On-Demand
Free-Video
ICTP Mathematics

Color-Position Symmetry in Interacting Particle Systems

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Explore color-position symmetry in particle systems, covering probability, partition functions, and stochastic processes. Gain insights into ASEP and simulation techniques.
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12 Lesons
38 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Stochastic Processes by Sanjib Sabhapandit

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Explore stochastic processes in this advanced lecture, covering key concepts and applications in statistical physics for graduate-level students and researchers.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
International Mathematical Union

Hydrodynamic Limit and Stochastic PDEs Related to Interface Motion

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Explore interacting particle systems and their macroscopic behavior through hydrodynamic limits, deriving models for interface motion in phase separation, species segregation, and coupled KPZ equations.
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1 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Hydrodynamic Limits and Condensing Zero Range Processes

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Explore hydrodynamic limits and condensing zero range processes in interacting particle systems. Learn about phase separation, relative entropy method, and non-closed hydrodynamic descriptions.
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1 Lesons
45 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Path Convergence of Markov Chains on Large Graphs

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Explore path convergence of Markov chains on large graphs, examining theoretical aspects and applications in network science, probability theory, and complex systems analysis.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Algorithms on Networks

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Explore algorithms for network analysis, optimization, and control. Learn techniques for solving complex problems on graphs and networks, with applications in various fields.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Spin Systems on Spatial Random Graphs

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Explore spin systems on spatial random graphs, examining their properties, dynamics, and applications in network science and statistical physics.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Best Arm Identification Through Fluid-Based Methods

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Explore fluid-based methods for best arm identification in multi-armed bandit problems. Learn innovative techniques to optimize decision-making in uncertain environments.
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1 Lesons
52 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Well Posedness for Hamilton-Jacobi Equations for Linearly Controlled Gradient Flows

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Explore well-posedness of Hamilton-Jacobi equations for linearly controlled gradient flows, examining mathematical foundations and applications in optimization and control theory.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Asymptotics of Invariant Measures of Mean-field Markov Models on Countable State Spaces

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Explore asymptotics of invariant measures in mean-field Markov models on countable spaces. Gain insights into network science, probability theory, and applications in complex systems and data analysis.
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1 Lesons
52 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Graph Limit for Interacting Particle Systems on Weighted Deterministic and Random Graphs

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Explore graph limits for interacting particle systems on weighted deterministic and random structures in this advanced mathematical lecture.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Steady States and Dynamics of the Aggregation-Diffusion Equation - Lecture 2

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Explore steady states and dynamics of aggregation-diffusion equations in this advanced mathematics lecture by Yao Yao, part of a thematic meeting on interacting particle systems.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Steady States and Dynamics of the Aggregation-Diffusion Equation - Lecture 1

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Explore steady states and dynamics of the aggregation-diffusion equation in this advanced mathematics lecture by Yao Yao at CIRM's thematic meeting on interacting particle systems.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Gradient Flows for Sampling and Their Deterministic Interacting Particle Systems

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Explore gradient flows for sampling and deterministic interacting particle systems in this mathematical conference talk by Dejan Slepčev.
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1 Lesons
48 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Interacting Particle Systems on Sparse W-Random Graphs

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Explore interacting particle systems on sparse W-random graphs in this workshop. Gain insights from leading experts through plenary talks, contributed presentations, and collaborative sessions on randomness and network learning.
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1 Lesons
16 minutes
On-Demand
Free-Video
BIMSA

Interface and Its Fluctuation in Interacting Particle Systems - ICBS 2024

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Explore particle separation in Glauber-Kawasaki dynamics, interface evolution, and fluctuations. Delve into extended research on anisotropic curvature flow and stochastic partial differential equations.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Studies Around Hydrodynamic Limits in Interacting Particle Systems - Lecture 3

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Explore hydrodynamic limits in interacting particle systems with advanced mathematical concepts and techniques. Gain insights into complex systems behavior at the doctorate level.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Studies Around Hydrodynamic Limits in Interacting Particle Systems - Lecture 2

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Explore hydrodynamic limits in interacting particle systems through advanced mathematical concepts. Gain insights into complex systems behavior and statistical mechanics.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Mean Field Limit by Gamma Convergence

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Explores mean-field limit for λ-convex potentials using variational methods, focusing on gradient flows and Γ-convergence in interacting particle systems.
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1 Lesons
30 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Compact Formula for Symmetric Macdonald Polynomials via ASEP and TAZRP

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Explore connections between particle models and Macdonald polynomials, unveiling a new compact tableau formula with applications in probability and integrable systems.
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1 Lesons
43 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Fredrickson-Andersen 2-Spin Facilitated Model - Sharp Threshold

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Explore sharp threshold results for the Fredrickson-Andersen 2-spin facilitated model, examining relaxation mechanisms and proof techniques for interacting particle systems with kinetic constraints.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Exact Results in Non-Equilibrium Statistical Mechanics - Part II

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Explore advanced concepts in non-equilibrium statistical mechanics, including Work Identities, Fluctuation Theorem, and Macroscopic Fluctuation Theory. Learn how integrability techniques yield exact solutions.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
GERAD Research Center

Mean Field Limits of Heterogeneous Networks - Informal Systems Seminar

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Explore mean field limits of heterogeneous networks, focusing on interacting particle systems coupled on digraphs and their macroscopic behavior. Gain insights into Vlasov equations and digraph measures.
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12 Lesons
55 minutes
On-Demand
Free-Video
Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Interacting Particle Systems with Mobility and Demographic Dynamics as Biological Models

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Explore complex biological models using interacting particle systems, incorporating mobility and demographic dynamics for advanced scientific understanding.
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1 Lesons
38 minutes
On-Demand
Free-Video
Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Transition Probabilities and Diffusion Coefficient in Interacting Particle Systems

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Explore transition probabilities and diffusion coefficients in interacting particle systems, delving into complex physics concepts and their applications.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Alan Turing Institute

Interacting Particle Systems for Expectation Maximization in Latent Variable Models

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Explore a novel interacting particle system for EM optimization in latent variable models, featuring Langevin diffusion analysis and non-asymptotic concentration bounds for maximum likelihood estimation.
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12 Lesons
27 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Some Problems Regarding Bayesian Networks

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Exploration of challenges in Bayesian networks, discussing structural properties, dynamics, and applications in probability theory and network science.
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1 Lesons
59 minutes
On-Demand
Free-Video
BIMSA

A Renormalisation Group Perspective on Functional Inequalities - ICBS 2024

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Explore multiscale analysis for decomposing high-dimensional measures, deriving functional inequalities using renormalization group methods in statistical physics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Inside Livermore Lab

DeepParticle: Learning Invariant Measure by Deep Neural Network Minimizing Wasserstein Distance

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Explore DeepParticle: an integrated approach combining deep learning, optimal transport, and interacting particles to solve high-dimensional PDEs, demonstrated through Fisher-Kolmogorov-Petrovsky-Piskunov front speeds in incompressible flows.
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1 Lesons
1 hour
On-Demand
Free-Video