The projection pressure for asymptotically weak separation condition and Bowen's equation (Q714284)

Summary: Let \(\{S_i\}^l_{i=1}\) be a weakly conformal iterated function system on \(\mathbb R^d\) with attractor \(K\). Let \(\pi\) be the canonical projection. In this paper we define a new concept called ``projection pressure'' \(P_\pi(\varphi)\) for \(\varphi \in C(\Sigma)\) and show the variational principle about the projection pressure under AWSC. Furthermore, we check that the zero of ``projection pressure'' still satisfies Bowen's equation. Using the root of Bowen's equation, we can get the Hausdorff dimension of the attractor \(K\).