caa a22 4500 46789244X CHVBK 20180406152753.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s10955-005-9005-7 doi (NATIONALLICENCE)springer-10.1007/s10955-005-9005-7 Phase Transitions for Uniformly Expanding Maps [Elektronische Daten] [Yakov Pesin, Ke Zhang] Given a uniformly expanding map of two intervals we describe a large class of potentials admitting unique equilibrium measures. This class includes all Hölder continuous potentials but goes far beyond them. We also construct a family of continuous but not Hölder continuous potentials for which we observe phase transitions. This provides a version of the example in (9) for uniformly expanding maps. Springer Science + Business Media, Inc., 2006 Expanding maps nationallicence thermodynamical formalism nationallicence equilibrium measures nationallicence phase transitions nationallicence Pesin Yakov Department of Mathematics, Pennsylvania State University, 16802, University Park, State College, Pa, USA aut Zhang Ke Department of Mathematics, Pennsylvania State University, 16802, University Park, State College, Pa, USA aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 122/6(2006-03-01), 1095-1110 0022-4715 122:6<1095 2006 122 10955 https://doi.org/10.1007/s10955-005-9005-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-9005-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pesin Yakov Department of Mathematics, Pennsylvania State University, 16802, University Park, State College, Pa, USA aut NATIONALLICENCE 700 1- Zhang Ke Department of Mathematics, Pennsylvania State University, 16802, University Park, State College, Pa, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 122/6(2006-03-01), 1095-1110 0022-4715 122:6<1095 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer