BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250702T002604EDT-6759Wr3UBr@132.216.98.100 DTSTAMP:20250702T042604Z DESCRIPTION:Title: The algebraic area of closed lattice random walks.\n\nAb stract: We propose a formula for the enumeration of closed lattice random walks of length n enclosing a given algebraic area. The information is con tained in the Kreft coefficients which encode\, in the commensurate case\, the Hofstadter secular equation for a quantum particle hopping on a latti ce coupled to a perpendicular magnetic field. The algebraic area enumerati on is possible because it is split in $2^{n/2-1}$ pieces\, each tractable in terms of explicit combinatorial expressions.\n DTSTART:20191029T193000Z DTEND:20191029T203000Z LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour SUMMARY:Stéphane OUVRY\, CNRS-Université Paris Sud et Université Paris-Sacl ay URL:/mathstat/channels/event/stephane-ouvry-cnrs-unive rsite-paris-sud-et-universite-paris-saclay-302023 END:VEVENT END:VCALENDAR