3 papers
math.DS2025
Computable thermodynamic formalism
Ilia Binder, Qiandu He, Zhiqiang Li +1
We investigate the theory of thermodynamic formalism from the perspective of computable analysis, with a special focus on the computability of equilibrium states. Specifically, we…
math.DS2025
On computability of equilibrium states
Ilia Binder, Qiandu He, Zhiqiang Li +1
Equilibrium states are natural dynamical analogues of Gibbs states in thermodynamic formalism. This paper investigates their computability within the framework of Computable Analys…
math.MG2024
Conformal Dimension of the Brownian Graph
Ilia Binder, Hrant Hakobyan, Wen-Bo Li
Conformal dimension of a metric space , denoted by , is the infimum of the Hausdorff dimension among all its quasisymmetric images. If conformal dimension of is eq…