Homomorphism to R of Semidirect Products: A Dynamical Construction

Authors

Gast?o Bettencourt, Department of Mathematics, Universidade da Beira Interior, Rua Marquˆes d’´Avila e Bolama, 6201-001, Covilh?a, PortugalFollow
Sérgio Mendes, Department of Mathematics, ISCTE - Intituto Universit´ario de Lisboa, Av. das Forc¸as Armadas, 1649-026, Lisboa, PortugalFollow

Author Country (or Countries)

Portugal

Abstract

We define a modified version of Erschler and Karlsson construction of homomorphisms from random walks [A. Erschler and A. Karlsson, Ann. Inst. Fourier (Grenoble) 60 (2010), no. 6, 2095−2113]. We show that our definition is well adapted to semidirect products. The same construction is conjectured to work also for other classes of maps like quasi-morphisms.

Recommended Citation

Bettencourt, Gast?o and Mendes, Sérgio (2023) "Homomorphism to R of Semidirect Products: A Dynamical Construction," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 22.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/22