Pfister, C-ESullivan, W. G.2022-03-282022-03-282022-03-28202210.1017/etds.2021.38https://infoscience.epfl.ch/handle/20.500.14299/186605WOS:000767118300001We give a necessary and sufficient condition on beta of the natural extension of a beta-shift, so that any equilibrium measure for a function of bounded total oscillations is a weak Gibbs measure.Mathematics, AppliedMathematicsMathematicsbeta-shiftssymbolic dynamicsequilibrium measuresweak gibbs measuresweak gibbs measuresstatesEquilibrium measures of the natural extension of beta-shiftstext::journal::journal article::research article