Gouveia, Márcio [UNESP]Oler, Juliano G.2023-03-012023-03-012022-01-01Bulletin of the Brazilian Mathematical Society.1678-7544http://hdl.handle.net/11449/240749Given an one-dimensional Lorenz-like expanding map we describe a class A of potentials ϕ: [0 , 1] ⟶ R admitting at most one equilibrium measure and we construct a family of continuous but not weak-Hölder continuous potentials for which we observe phase transitions. This give a certain generalization of the results proved in Pesin and Zhang (J Stat Phys 122(6):1095–1110, 2006), where the authors have proved this for a smaller class of potentials, that is, for uniformly expanding maps and weak-Hölder continuous potentials. Indeed, the class A form an open and dense subset of C([0 , 1] , R) , with the usual C topology.engEquilibrium measureLorenz mapsArtigo10.1007/s00574-022-00310-y2-s2.0-85137070463