@InProceedings{ferreirapintojr.:LIPIcs.APPROX/RANDOM.2023.61, author = {Ferreira Pinto Jr., Renato}, title = {{Directed Poincar\'{e} Inequalities and L¹ Monotonicity Testing of Lipschitz Functions}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2023)}, pages = {61:1--61:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-296-9}, ISSN = {1868-8969}, year = {2023}, volume = {275}, editor = {Megow, Nicole and Smith, Adam}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2023.61}, URN = {urn:nbn:de:0030-drops-188867}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2023.61}, annote = {Keywords: Monotonicity testing, property testing, isoperimetric inequalities, Poincar\'{e} inequalities} }