Komornik–Loreti constant

The Komornik–Loreti constant, denoted as \(C\), is a mathematical constant that arises in the context of number theory and dynamical systems. It is defined as the unique positive root of the polynomial equation: \[ x^2 = 2^{\beta} x + 1 \] where \(\beta\) is a specific parameter, typically equal to \(\log_2(3)\).