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#Cayley Graphs

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Centre de recherches mathématiques - CRM

Dynamics to Geometry in Free-by-Cyclic Groups - Lecture 3

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Explorez les liens entre dynamique, algèbre et géométrie dans les groupes libres-par-cycliques. Découvrez les résultats récents et les problèmes ouverts dans ce domaine inspiré par les travaux de Thurston.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Dynamics to Geometry in Free-by-Cyclic Groups - Lecture 2

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Explore dynamics and geometry in free-by-cyclic groups, focusing on automorphisms, semi-direct products, and their interplay with Thurston's work on surface homeomorphisms and 3-manifolds.
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1 Lesons
55 minutes
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Free-Video
Centre de recherches mathématiques - CRM

Dynamics to Geometry in Free-by-Cyclic Groups - Part I

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Explore the interplay between automorphism dynamics, algebraic properties, and coarse geometry in free-by-cyclic groups, drawing inspiration from Thurston's work on surface homeomorphisms and 3-manifolds.
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1 Lesons
48 minutes
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Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 1

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Delve into spectral analysis of random graphs, exploring adjacency operators, Laplacian matrices, and Benjamini-Schramm topology. Examine convergence properties and quantum percolation in graph theory.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 4

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Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology through rigorous mathematical frameworks and quantum percolation theory.
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1 Lesons
2 hours 1 minute
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Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 2

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Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology with focus on spectral measures and quantum percolation theory.
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1 Lesons
2 hours
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 5

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Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology through rigorous mathematical frameworks and quantum percolation theory.
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1 Lesons
2 hours 9 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 3

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Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology with focus on convergence properties and quantum percolation.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Spectral Graph Theory - Lecture 1

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Explore spectral graph theory, covering self-adjoint matrices, Rayleigh equalities, graph isomorphism, Cayley graphs, and automorphism groups. Gain insights into complex systems and network analysis.
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14 Lesons
1 hour 31 minutes
On-Demand
Free-Video
IMSA

Divergence in Coxeter Groups

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Explores divergence in Coxeter groups, introducing the 'hypergraph index' to characterize linear, quadratic, and exponential divergence in these mathematical structures.
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1 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Growth in Linear Algebraic Groups and Permutation Groups

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Exploración de límites de diámetro en grupos simétricos y algebraicos lineales, con énfasis en técnicas simplificadas y conexiones entre diferentes enfoques matemáticos.
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1 Lesons
45 minutes
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Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 8

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Explore the mathematical concept of random walks on groups, examining their properties, applications, and fundamental principles in this advanced mathematics lecture.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 18

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Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 15

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Explore random walks on groups, a fundamental concept in probability theory and group theory, with applications in various mathematical fields and real-world scenarios.
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1 Lesons
58 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 3

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Explore random walks on groups, their properties, and applications in mathematics and probability theory. Learn key concepts and techniques for analyzing group-based stochastic processes.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 13

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Explore random walks on groups, a fundamental concept in probability theory and group theory, with insights into their applications and properties.
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1 Lesons
57 minutes
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Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 4

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Explore random walks on groups, a fundamental concept in probability theory and group theory, with applications in various mathematical fields and real-world scenarios.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 9

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Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
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1 Lesons
1 hour 43 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 17

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Explore random walks on groups, a fundamental concept in probability theory and group theory, with insights into their applications and properties.
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1 Lesons
59 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 7

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Explore random walks on groups, a fundamental concept in probability theory and group theory, with applications in various mathematical fields and real-world scenarios.
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1 Lesons
1 hour 50 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 6

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Explore random walks on groups, a fundamental concept in probability theory and group theory, with applications in various mathematical fields and real-world scenarios.
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1 Lesons
56 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 21

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Explore the fascinating world of random walks on groups, delving into mathematical concepts and applications with expert guidance from Giulio Tiozzo of the University of Toronto.
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1 Lesons
1 hour 5 minutes
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Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 2

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Explore random walks on groups, a fundamental concept in probability theory and group theory, with insights into their applications and properties.
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1 Lesons
1 hour
On-Demand
Free-Video
International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 3

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Explore Coxeter groups and their biautomatic properties in this advanced mathematics lecture, part of a comprehensive workshop on geometric group theory.
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1 Lesons
1 hour 17 minutes
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Free-Video
International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 2

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Explore Coxeter groups' biautomatic properties in this advanced geometric group theory lecture, part of a workshop fostering research collaboration and exposure to active areas in the field.
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1 Lesons
1 hour 6 minutes
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Free-Video
International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 1

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Explore Coxeter groups and their biautomatic properties in this advanced mathematics lecture, part of a comprehensive workshop on geometric group theory.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Counting Limit Theorems for Representations of Gromov-Hyperbolic Groups

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Explore limit theorems for Gromov-hyperbolic group representations, examining statistical results analogous to random matrix products theory for spherical averages in the S-metric.
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1 Lesons
39 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Metric-Functional Boundary of Cayley Graphs

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Explore the horofunction boundary of Cayley graphs for small finitely generated groups, focusing on linear growth and the Gap Conjecture. Gain insights into metric spaces and group theory.
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1 Lesons
37 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Transverse Groups: Metric and Flow Space Analysis

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Explore transverse groups, their metric and flow spaces, and new results in this advanced mathematical talk on discrete group theory and hyperbolic geometry.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Simons Institute

Structures in Random Graphs - New Connections

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Exploring structures in random graphs, including cliques and independence numbers in Cayley graphs, thresholds for monotone properties, and edge-colorings of bipartite graphs.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Paul G. Allen School

Theory Seminar - On Linear Data Structures and Matrix Rigidity, Sivaramakrishnan Ramamoorthy

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Explores systematic linear data structures, rectangular rigidity, and their equivalence. Discusses rigidity lower bounds and Cayley graphs, presenting recent research findings and open problems.
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10 Lesons
55 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Improved Covering Results and Intersection Theorems in Symmetric Groups via Hypercontractivity

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Delve into advanced mathematical concepts exploring covering results and intersection theorems in symmetric groups, featuring hypercontractivity and independent sets in Cayley graphs.
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1 Lesons
47 minutes
On-Demand
Free-Video