79 citations · 484 across the 27 of their papers we have counts for
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math.DS2011★ 27 cited
Topological pressure of simultaneous level sets
Vaughn Climenhaga
Multifractal analysis studies level sets of asymptotically defined quantities in a topological dynamical system. We consider the topological pressure function on such level sets, r…
math.DS2011★ 64 cited
Equilibrium states beyond specification and the Bowen property
Vaughn Climenhaga, Daniel J. Thompson
It is well-known that for expansive maps and continuous potential functions, the specification property (for the map) and the Bowen property (for the potential) together imply the…
math.DS2011★ 36 cited
The thermodynamic approach to multifractal analysis
Vaughn Climenhaga
Most results in multifractal analysis are obtained using either a thermodynamic approach based on existence and uniqueness of equilibrium states or a saturation approach based on s…