SPR groups with continuous GPS systems admit finite BMS measures on flow spaces, yielding new examples in higher rank Lie groups beyond relatively Anosov groups.
Relatively Anosov representations via flows I: theory
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Proves a uniform global shadow lemma for Patterson-Sullivan measures of relatively Morse subgroups of higher-rank semisimple Lie groups, extending Stratmann-Velani.
Introduces a definition of Θ-positive representations over real closed fields that generalizes positive and Anosov representations without requiring continuous boundary maps.
Divergent extended geometrically finite representations of relatively hyperbolic groups are interpreted as restricted Anosov representations over flow spaces, shown stable under deformations, with a Galois covering example yielding non-homeomorphic boundary extension.
citing papers explorer
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Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems
SPR groups with continuous GPS systems admit finite BMS measures on flow spaces, yielding new examples in higher rank Lie groups beyond relatively Anosov groups.
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A global shadow lemma for relatively Morse groups in higher rank
Proves a uniform global shadow lemma for Patterson-Sullivan measures of relatively Morse subgroups of higher-rank semisimple Lie groups, extending Stratmann-Velani.
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Positive representations over real closed fields
Introduces a definition of Θ-positive representations over real closed fields that generalizes positive and Anosov representations without requiring continuous boundary maps.
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Notions of Anosov representation of relatively hyperbolic groups
Divergent extended geometrically finite representations of relatively hyperbolic groups are interpreted as restricted Anosov representations over flow spaces, shown stable under deformations, with a Galois covering example yielding non-homeomorphic boundary extension.