This work demonstrates induced pressure in random walks on compact metric spaces, highlighting ergodic behavior and variational principles.
In this paper, we present the concept of induced topological pressure for random walks governed by finitely generated semigroup actions on compact metric spaces. Concentrating on the composition of endomorphisms under a unilateral shift, we build upon prior ergodic studies and derive a variational principle for induced pressure. This work provides fresh perspectives on the thermodynamic behavior of such systems.
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Zhao et al. (2025) studied this question.
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