{"product_id":"dynamics-in-one-nonarchimedean-variable-9781470446888","title":"Dynamics in One NonArchimedean Variable","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePresents the fundamentals of non-archimedean dynamics, including a unified exposition of Rivera-Letelier's classification theorem, as well as results on wandering domains, repelling periodic points, and equilibrium measures. The Berkovich projective line is developed from the ground up, as are relevant results in non-archimedean analysis.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eBasic dynamics on $\\mathbb{P}^1(K)$\u003c\/li\u003e\n\u003cli\u003eSome background on non-archimedean fields\u003c\/li\u003e\n\u003cli\u003ePower series and Laurent series\u003c\/li\u003e\n\u003cli\u003eFundamentals of non-archimedean dynamics\u003c\/li\u003e\n\u003cli\u003eFatou and Julia sets\u003c\/li\u003e\n\u003cli\u003eThe Berkovich projective line\u003c\/li\u003e\n\u003cli\u003eRational functions and Berkovich space\u003c\/li\u003e\n\u003cli\u003eIntroduction to dynamics on Berkovich space\u003c\/li\u003e\n\u003cli\u003eClassifying Berkovich Fatou components\u003c\/li\u003e\n\u003cli\u003eFurther results on periodic components\u003c\/li\u003e\n\u003cli\u003eWandering domains\u003c\/li\u003e\n\u003cli\u003eRepelling points in Berkovich space\u003c\/li\u003e\n\u003cli\u003eThe equilibrium measure\u003c\/li\u003e\n\u003cli\u003eProofs of results from non-archimedean analysis\u003c\/li\u003e\n\u003cli\u003eProofs of Berkovich space results\u003c\/li\u003e\n\u003cli\u003eProofs of results on Berkovich maps\u003c\/li\u003e\n\u003cli\u003eFatou components without Berkovich space\u003c\/li\u003e\n\u003cli\u003eOther constructions of Berkovich spaces\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex.\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041326010711,"sku":"9781470446888","price":108.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470446888.jpg?v=1740182417","url":"https:\/\/bookcurl.com\/products\/dynamics-in-one-nonarchimedean-variable-9781470446888","provider":"Book Curl","version":"1.0","type":"link"}