Escape rate for special semi-flows over non-invertible subshifts of finite type

TL;DR

This paper establishes an escape rate result for special semi-flows over non-invertible subshifts of finite type, using discretisation and conformal repellers, advancing understanding of dynamical systems with complex symbolic structures.

Contribution

It introduces a novel approach to calculating escape rates for semi-flows over non-invertible subshifts, combining discretisation with conformal repeller techniques.

Findings

Proves an escape rate formula for these semi-flows.

Connects escape rates with properties of conformal repellers.

Provides a new method for analyzing non-invertible symbolic dynamics.

Abstract

We prove an escape rate result for special semi-flows over non-invertible subshifts of finite type. Our proofs are based on a discretisation of the flow and an application of an escape rate result for conformal repellers.