{"product_id":"dynamical-mordell-lang-conjecture","title":"Dynamical Mordell-Lang Conjecture","description":"The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point $x$ under the action of an endomorphism $f$ of a quasiprojective complex variety $X$. More precisely, it claims that for any point $x$ in $X$ and any subvariety $V$ of $X$, the set of indices $n$ such that the $n$-th iterate of $x$ under $f$ lies in $V$ is a finite union of arithmetic progressions. In this book the authors present all known results about the Dynamical Mordell-Lang Conjecture, focusing mainly on a $p$-adic approach which provides a parametrization of the orbit of a point under an endomorphism of a variety.","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":57186635579736,"sku":"9781470424084","price":122.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781470424084_91977053-4f6f-48ee-8e98-cb33196727f1.jpg?v=1780983059","url":"https:\/\/agendabookshop.com\/products\/dynamical-mordell-lang-conjecture","provider":"Agenda Bookshop","version":"1.0","type":"link"}