تقرير
Finiteness of rank for Grassmann convexity
| العنوان: | Finiteness of rank for Grassmann convexity |
|---|---|
| المؤلفون: | Saldanha, Nicolau C., Shapiro, Boris, Shapiro, Michael |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Mathematics - Combinatorics, Primary 34C10, 05B30, Secondary 57N80 |
| الوصف: | The Grassmann convexity conjecture gives a conjectural formula for the maximal total number of real zeros of the consecutive Wronskians of an arbitrary fundamental solution to a disconjugate linear ordinary differential equation with real time. The conjecture can be reformulated in terms of convex curves in the nilpotent lower triangular group. The formula has already been shown to be a correct lower bound and to give a correct upper bound in several small dimensional cases. In this paper we obtain a general explicit upper bound. Comment: 7 pages, no figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2110.07389 |
| رقم الأكسشن: | edsarx.2110.07389 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |