论文标题
非安置多项式动力学的最终措施和最小的基因座
Resultant measures and minimal resultant loci for non-archimedean polynomial dynamics
论文作者
论文摘要
我们计算了迭代的最终措施$ p^j $，$ j \ ge 1 $，$ n $ n $ trucco的树的多项式$ p $ $> 1 $ $> 1 $，trucco's trucco's trucco's trucco's $γ_n$，$ n \ ge 0 $，在berkovich Projective Line ynonarchimean field and a berkovich Projective Line ynon Archimedean Field and thnon Archimedean Field and ynon-Archimedean Field and又确定其BareCenters。作为应用程序，我们将这些barycenters的渐近性研究为$ n \ to \ infty $，并建立了Rumely的最低限度的基因座的均匀平稳性为$ p^j $，或者等同于$ j $ as $ J $ as J \ to \ j \ to \ infty $。我们还为最终的措施本身建立了几个等式分配结果，为$ n \ to \ infty $。
We compute the resultant measures for iterations $P^j$, $j\ge 1$, of a polynomial $P$ of degree $>1$ on the $n$-th level Trucco's trees $Γ_n$, $n\ge 0$, in the Berkovich projective line over a non-archimedean field and also determine their barycenters. As applications, we study the asymptotic of those barycenters as $n\to\infty$, and establish a uniform stationarity of Rumely's minimal resultant loci of $P^j$ or equivalently that of the potential semistable reduction loci of $P^j$ as $j\to\infty$. We also establish several equidistribution results for the resultant measures themselves as $n\to\infty$.
