Banach Center Courses

Mean Ergodic Theorems Along Sequences of Polynomial Growth

Explore mean ergodic theorems along polynomial growth sequences, delving into advanced mathematical concepts in ergodic theory and topological dynamics.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Disintegrating Cubic Measures for Sumsets

Explore disintegrating cubic measures for sumsets in topological dynamics, ergodic theory, and combinatorics with Donald Robertson from the University of Manchester.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Infinite Sumsets and Cubic Measures

Explore infinite sumsets and cubic measures in topological dynamics, ergodic theory, and combinatorics with Northwestern University's Bryna Kra.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Infinite Arithmetic Configurations in Sets with Positive Density

Explore infinite arithmetic configurations in positive density sets, delving into nilpotent structures in topological dynamics and combinatorics.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

An Extension of Result by Furstenberg and Glasner in Topological Dynamics

Explore an advanced mathematical extension of Furstenberg and Glasner's work in topological dynamics and ergodic theory with XiangDong Ye.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

The Ergodic Hierarchy of Mixing, van der Corput's Difference Theorem, and the Ergodic Theory of Noncommuting Operators

Explore advanced concepts in ergodic theory, including mixing hierarchies, van der Corput's theorem, and noncommuting operators, with insights from expert Sohail Farhangi.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

A Non-Flag Arithmetic Regularity Lemma and Counting Lemma

Explore arithmetic regularity and counting lemmas in non-flag settings with Daniel Altman's in-depth analysis of nilpotent structures in combinatorics.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Free Nilspaces, Double Coset Nilspaces, and Gowers Norms

Explore free nilspaces, double coset nilspaces, and Gowers norms in topological dynamics, ergodic theory, and combinatorics with Diego Gonzalez-Sanchez from Alfred Renyi Institute.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Optymalne strategie inwestycyjne na zupełnym rynku finansowym z procesami Lévy'ego

Poznaj optymalne strategie inwestycyjne na rynku finansowym z procesami Lévy'ego. Zgłęb matematyczne podejście do analizy i optymalizacji decyzji inwestycyjnych.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

A New Characterization of Independence Based on Local Correlations

Odkryj nową charakterystykę niezależności opartą na korelacjach lokalnych w matematyce statystycznej.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Podejście Graficzne do Wielowymiarowych Procesów Hawkes'a

Poznaj graficzne podejście do analizy wielowymiarowych procesów Hawkes'a w zastosowaniach matematycznych.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Wnioskowanie Statystyczne dla Modeli Niezawodności Oprogramowania

Poznaj metody wnioskowania statystycznego w modelach niezawodności oprogramowania. Zgłęb techniki analizy i oceny niezawodności systemów informatycznych.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

O postaci Béziera funkcji B-sklejanych - Podejście drugie

Zgłęb zaawansowane aspekty funkcji B-sklejanych i ich reprezentacji Béziera w matematyce stosowanej i informatyce.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Numerical Methods for Nonlocal and Nonlinear Parabolic Equations with Applications in Hydrology and Climatology

Odkryj metody numeryczne dla nieliniowych równań parabolicznych i ich zastosowania w hydrologii i klimatologii.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

Complexity of Approximating Holder Classes from Information with Varying Gaussian Noise

Explore approximation complexity for Holder classes with varying Gaussian noise, focusing on mathematical applications and information theory concepts.

• YouTube
• 35 minutes
• Self-Paced
• Free Video