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#Free Probability Theory

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Fields Institute

On the X Y Symmetry in Topological Recursion via Loop Insertion Operator

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Explore the x-y symmetry in Topological Recursion through the lens of loop insertion operators, delving into advanced mathematical concepts and their applications.
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1 Lesons
59 minutes
On-Demand
Free-Video
Fields Institute

Third Order Cumulants of Complex Wigner Matrices

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Explore third order cumulants of complex Wigner matrices in noncommutative geometry and free probability theory, advancing understanding of random matrix theory.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Fields Institute

How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 2

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Explore advanced concepts in quantum field theory, focusing on topological recursion and its application to noncommutative geometries in this advanced mathematics lecture.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Yoann Dabrowski- Free Entropy and a Laplace Principle for Hermitian Brownian Motion

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Explores Voiculescu's free entropy, ultraproducts, continuous model theory, and free stochastic differential equations, with implications for Connes embedding conjecture.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Spectral Norm and Strong Freeness

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Explore the connection between spectral norm and strong freeness in operator algebras, delving into advanced mathematical concepts and their applications in free probability theory.
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1 Lesons
46 minutes
On-Demand
Free-Video
Fields Institute

The Zero Bias

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Explore the concept of Free Zero Bias in operator algebras with Todd Kemp, delving into its applications and implications in free probability theory.
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1 Lesons
1 hour
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Functional Relations for Higher Order Free Cumulants and Moments

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Explore functional relations between generating series of cumulants and moments in higher order free probability. Gain insights into matrix models and topological recursion.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Tensor Harish-Chandra–Itzykson–Zuber Integral & Entanglement Detection in Multipartite Quant Systems

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Explore tensor integrals and their applications in quantum entanglement detection, focusing on multipartite systems and advanced mathematical concepts in quantum physics.
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1 Lesons
43 minutes
On-Demand
Free-Video
Fields Institute

How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 3

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Explore advanced concepts in quantum field theory and noncommutative geometry, focusing on topological recursion and its applications in organizing quantum fields.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Fields Institute

Quantum Gravity From Integration Over Dirac Ensembles

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Explore the intersection of quantum gravity and Dirac ensembles in this advanced physics lecture, delving into cutting-edge theories and mathematical frameworks.
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1 Lesons
52 minutes
On-Demand
Free-Video