Non-additive Thermodynamic Formalism and Applications

In this thesis, we study the thermodynamic formalism for non-additive potentials. Besides providing a brief introducion to the additive thermodynamic formalism and the sub-addtive thermodynamic formalism, we also establish a new variational principle for the topological pressure of certain super-additive potentials generated by a random matrix product.在這篇論文中，我們研究不可加勢能的熱力學原理。除了簡單介紹可加勢能和次可加勢能的熱力學原理外，我們對於某些由隨機矩陣乘積生成的超可加勢能的拓撲壓力建立了新的變分原理。WU, Jiaming.M.Phil. Chinese University of Hong Kong 2021.Includes bibliographical references (leaves )Abstracts in English and Chinese.Title from PDF title page (viewed on ...