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#Limit theorems

Showing: 13 courses
NPTEL

Probability Foundation for Electrical Engineers

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Comprehensive exploration of probability theory for electrical engineers, covering fundamental concepts, random variables, expectation, and limit theorems with rigorous mathematical foundations.
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49 Lesons
1 day 14 hours
On-Demand
Free-Video
statisticsmatt

Basic Limit Theorems

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Explore fundamental limit theorems in probability and statistics, including convergence modes, central limit theorem, and law of large numbers, with practical examples and proofs.
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17 Lesons
3 hours 30 minutes
On-Demand
Free-Video
NIOS

A Basic Course in Real Analysis

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Explore fundamental concepts of real analysis, including limits, continuity, sets, sequences, series, and theorems. Develop a strong foundation in mathematical reasoning and proof techniques.
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34 Lesons
1 day 7 hours
On-Demand
Free-Video
Applied Algebraic Topology Network

Limit Theorems in Topological Data Analysis

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Explore limit theorems in topological data analysis, focusing on barcodes, persistence modules, and random persistence modules. Learn about convergence proofs and expectations for uniform distributions on compact submanifolds.
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15 Lesons
58 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

On Characterizing Rare Events in Persistent Homology

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Explore rare events in persistent homology, focusing on indecomposables in multi-parameter settings. Learn about large deviation principles and laws of large numbers in topological data analysis.
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17 Lesons
53 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
Applied Algebraic Topology Network

Takashi Owada - Limit Theorems for Topological Invariants of the Dynamic Multi-Parameter Simplicial Complex

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Explore topological invariants in dynamic multi-parameter simplicial complexes, covering connectivity, probability, and limiting processes in applied algebraic topology.
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15 Lesons
28 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Limit Theorems for the Volumes of Small Codimensional Random Sections of Lpn-Balls

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Explore central limit theorems for volumes of random sections in high-dimensional geometry, with insights on open questions and recent research developments.
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1 Lesons
54 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)

Generalized Law of Iterated Logarithm in the Infinite Horizon Lorentz Gas

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Explore the behavior of infinite horizon Lorentz gas, focusing on chaotic dynamics, long flights, and non-standard scaling in limit theorems for billiard particle positions.
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1 Lesons
56 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Averaging Result for Differential Equations Perturbed by a Z-Periodic Lorentz Gas

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Explore averaging results for differential equations perturbed by Z-periodic Lorentz gas, examining asymptotic behavior and convergence rates in infinite measure-preserving systems.
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1 Lesons
47 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Fluctuation Limits for Mean-Field Interacting Nonlinear Hawkes Processes

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Explore fluctuation limits in mean-field interacting nonlinear Hawkes processes, delving into advanced mathematical concepts and their applications.
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1 Lesons
40 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Lambda-Coalescents Arising in a Population With Dormancy

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Explore Lambda-coalescents in populations with dormancy, examining genealogy and multiple ancestral line mergers through a three-season model of spring awakening, summer reproduction, and winter dormancy.
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18 Lesons
39 minutes
On-Demand
Free-Video