On the 2‐Wasserstein distance for self‐similar measures on the unit interval

DOI10.1002/mana.201900299zbMath1529.28005OpenAlexW4213180913MaRDI QIDQ6093934

Robert Niedzialomski, Unnamed Author, Unnamed Author

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201900299

zbMATH Keywords

Wasserstein distanceself-similar measureHutchinson operator

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Spaces of measures, convergence of measures (28A33) Convergence of probability measures (60B10)

Cites Work

• Unnamed Item
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Approximation and Wasserstein distance for self-similar measures on the unit interval
• First and second moments for self-similar couplings and Wasserstein distances
• Stationary measures associated to analytic iterated function schemes