Optimal Transport: Stability and Counterexamples

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Embedding in Metric Spaces

Explores embedding in metric spaces, discussing mappings, distances, and convergence.

Generalized Integrals and Convergence Criteria

Covers generalized integrals, convergence criteria, series convergence, and harmonic series in analysis.

Integration of CnR Class Functions

Explains the integration of Taylor series for CnR class functions.

Completeness of LP

Explores the completeness of LP, discussing implications of mathematical conditions and the convergence of series.

Fourier Series: Understanding Periodicity and Coefficients

Explores t-periodic functions in Fourier series, discussing intervals, propositions, and variable changes for coefficient calculation and series convergence.

Probability Theory: Conditional Expectation

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Hyperbolic Geometry

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Functional Analysis: Baire's Theorem

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Convergence Criteria

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Central Limit Theorem: Proof

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