For positively expansive maps with a repeller periodic point, smooth potentials with the transfer operator spectral gap and no high/low temperature phase transitions form a dense set, and a stronger claim is made for intermittent skew-products.
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Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem
For positively expansive maps with a repeller periodic point, smooth potentials with the transfer operator spectral gap and no high/low temperature phase transitions form a dense set, and a stronger claim is made for intermittent skew-products.