Academic Journal
The Apollonian structure of integer superharmonic matrices
| العنوان: | The Apollonian structure of integer superharmonic matrices |
|---|---|
| المؤلفون: | Lionel Levine, Wesley Pegden, Charles K. Smart |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://www.math.cornell.edu/~levine//apollonian-superharmonic.pdf. |
| سنة النشر: | 2013 |
| المجموعة: | CiteSeerX |
| الوصف: | We prove that the set of quadratic growths attainable by integervalued superharmonic functions on the lattice Z² has the structure of an Apollonian circle packing, affirming a conjecture posed by the authors in [7], and completely characterizing the PDE which determines the continuum scaling limit of the Abelian sandpile on the lattice Z². |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.380.2768; http://www.math.cornell.edu/~levine//apollonian-superharmonic.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.380.2768 http://www.math.cornell.edu/~levine//apollonian-superharmonic.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.E5E350D8 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |