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#Free Probability

Showing: 25 courses
IPhT-TV

Processus d'Exclusion Simple Quantique et Cumulants Libres - 2022

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Explorez les fluctuations du processus d'exclusion simple quantique et leur lien avec les cumulants libres, les probabilités libres et les matrices aléatoires.
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22 Lesons
1 hour 14 minutes
On-Demand
Free-Video
International Mathematical Union

Alice Guionnet: Random Matrices, Free Probability and the Enumeration of Maps

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Explore connections between random matrices, free probability, and map enumeration in this advanced mathematical lecture by renowned expert Alice Guionnet.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
ICTP Mathematics

Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 2

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Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and statistical mechanics.
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1 Lesons
54 minutes
On-Demand
Free-Video
ICTP Mathematics

Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 5

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Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and probability theory.
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1 Lesons
54 minutes
On-Demand
Free-Video
ICTP Mathematics

Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 4

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Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and probability theory.
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1 Lesons
56 minutes
On-Demand
Free-Video
Fields Institute

Probability and Model Theory of Tracial von Neumann Algebras

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Explore connections between free probability and model theory in von Neumann algebras, examining their interplay and applications in operator algebra research.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Fields Institute

Optimal Transport Theory in Free Probability, Part II

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Explore advanced concepts in free probability theory, focusing on optimal transport and its applications in operator algebras and random matrices.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Fields Institute

Optimal Transport Theory in Free Probability, Part I

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Explore the intersection of optimal transport theory and free probability with David Jekel, delving into advanced mathematical concepts and their applications in operator algebras.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Fields Institute

Upgrading Subordination Properties in Free Probability

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Explore advanced concepts in free probability theory, focusing on subordination properties and their applications in operator algebras and mathematical analysis.
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1 Lesons
51 minutes
On-Demand
Free-Video
Fields Institute

Infinitesimal Operators and the Law of Polynomials in Monotone Independent Elements

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Explore infinitesimal operators and law polynomials in monotone independent elements with expert Pei-Lun Tseng in this concise Fields Institute talk.
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1 Lesons
23 minutes
On-Demand
Free-Video
Fields Institute

Topological Free Entropy

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Explore the concept of topological free entropy in operator algebras with Dan-Virgil Voiculescu, delving into advanced mathematical theories and applications.
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1 Lesons
42 minutes
On-Demand
Free-Video
Fields Institute

Consequences of the Random Matrix Solution to the Peterson-Thom Conjecture

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Explore the implications of random matrix theory in solving the Peterson-Thom conjecture, presented by Benjamin Hayes from the University of Virginia.
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1 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Strong Convergence of Tensor Products of Independent G.U.E. Matrices

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Explore strong convergence in tensor products of independent G.U.E. matrices with Mireille Capitaine, delving into advanced mathematical concepts and their applications.
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1 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Brown Measure of a Sum of Two Free Random Variables and Deformed Random Matrix Models

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Explore free probability theory, focusing on Brown measure in sums of free random variables and applications to deformed random matrix models.
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1 Lesons
52 minutes
On-Demand
Free-Video
Fields Institute

A Variational Approach to Free Probability

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Explore a novel variational approach to free probability theory, examining its applications and implications in operator algebras and related mathematical fields.
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1 Lesons
32 minutes
On-Demand
Free-Video
Fields Institute

Periodic Operators on Trees - Non-Commutative Floquet Theory?

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Explore non-commutative Floquet theory and periodic operators on trees with Jorge Garza Vargas in this advanced mathematics talk from the Fields Institute workshop on Operator Algebras.
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1 Lesons
26 minutes
On-Demand
Free-Video
Fields Institute

Strong 1-Boundedness and Graph Products

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Explore strong 1-boundedness and graph products in operator algebras with Brent Nelson, delving into advanced mathematical concepts and their applications in free probability theory.
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1 Lesons
52 minutes
On-Demand
Free-Video
Fields Institute

The Master Relation That Simplifies Maps and Frees Cumulants

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Explore the master relation's role in simplifying maps and freeing cumulants, presented by Elba Garcia-Failde at the Fields Institute's Workshop on Operator Algebras and Applications.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
USC Probability and Statistics Seminar

Classical and Free Zero Bias for Infinite Divisibility

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Explore classical and free zero bias in infinite divisibility with Larry Goldstein, delving into probability theory and statistical concepts.
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1 Lesons
49 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 3

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Explore advanced topics in free probability theory, focusing on joint behavior of independent random tensor matrices and symmetry groups, with applications in matrix analysis.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 2

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Explore advanced topics in free probability theory, focusing on joint behavior of independent random tensor matrices and symmetry groups, with applications in matrix analysis.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 1

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Explore joint behavior of independent random tensor matrices with smaller symmetry groups. Learn about tensor structures, generalizations of free probability, and new analytical techniques.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Interlacing Families and Ramanujan Graphs - #ICBS2024

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Explore Ramanujan Graphs, interlacing families, and their connections to various mathematical fields. Gain insights into recent developments and open problems in graph theory.
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1 Lesons
52 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Quantum Exclusion Process, Random Matrices and Free Cumulants

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Explore quantum exclusion process, random matrices, and free cumulants in relation to particle hopping models and their invariant measure fluctuations.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Random Tensor Networks with Nontrivial Links

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Explorez les réseaux de tenseurs aléatoires avec états de liens non triviaux, leurs propriétés d'intrication et applications en théorie de l'information quantique et gravité quantique holographique.
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21 Lesons
1 hour
On-Demand
Free-Video