doi:10.1007/978-3-030-75425-9_11engGrünbaum, F. A.Velázquez, L.Wilkening, J.Occupation Time for Classical and Quantum WalksART-2021-129082This is a personal tribute to Lance Littlejohn on the occasion of his 70th birthday. It is meant as a present to him for many years of friendship. It is not written in the “Satz-Beweis” style of Edmund Landau or even in the format of a standard mathematics paper. It is rather an invitation to a fairly new, largely unexplored, topic in the hope that Lance will read it some afternoon and enjoy it. If he cares about complete proofs he will have to wait a bit longer; we almost have them but not in time for this volume. We hope that the figures will convince him and other readers that the phenomena displayed here are interesting enough.2021http://zaguan.unizar.es/record/11765410.1007/978-3-030-75425-9_11http://zaguan.unizar.es/record/117654oai:zaguan.unizar.es:117654info:eu-repo/grantAgreement/ES/DGA/E48-20Rinfo:eu-repo/grantAgreement/ES/DGA-FEDER/E26-17Rinfo:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/MTM2017-89941-POperator theory 285 (2021), 197-212All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess