标题： 比值极限和吉布斯马尔可夫映射的群扩张的压力函数 显示英文标题

标题： Ratio limits and pressure function for group extensions of Gibbs Markov maps

摘要： 已知随机游走于（各种）群上的比率极限定理。 我们得到了这种类型比率极限的推广，适用于由吉布斯马尔可夫映射驱动的某些群上的确定性游走。 在证明方面，主要困难在于缺乏卷积结构。 此外，对于（有限生成）吉布斯马尔可夫映射的群扩张，我们在不假设对称性的前提下得到了压强函数的刻画。 显示英文摘要

摘要： Ratio limit theorems for random walks on (various) groups are known. We obtain a generalization of this type of ratio limit for deterministic walks on certain groups driven by Gibbs Markov maps. In terms of proofs, the main difficulty comes down to the absence of a convolution structure. Also, for (finitely generated) group extensions of Gibbs Markov maps we obtain a characterization of the pressure function without a symmetry assumption.