@InProceedings{miracle_et_al:LIPIcs.APPROX/RANDOM.2020.3, author = {Miracle, Sarah and Streib, Amanda Pascoe and Streib, Noah}, title = {{Iterated Decomposition of Biased Permutations via New Bounds on the Spectral Gap of Markov Chains}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)}, pages = {3:1--3:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-164-1}, ISSN = {1868-8969}, year = {2020}, volume = {176}, editor = {Byrka, Jaros{\l}aw and Meka, Raghu}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2020.3}, URN = {urn:nbn:de:0030-drops-126069}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2020.3}, annote = {Keywords: Markov chains, Permutations, Decomposition, Spectral Gap, Iterated Decomposition} }