Doctoral thesis
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English

Tropical curves, convex domains, sandpiles and amoebas

Defense date2017-06-23
Abstract

We show that heavy sandpiles on convex domains, in the scaling limit, are governed by tropical geometry.

Keywords
  • Tropical geometry
  • Abelian sandpiles
  • Convex geometry
  • Hyperbolic amoebas
Citation (ISO format)
SHKOLNIKOV, Mikhail. Tropical curves, convex domains, sandpiles and amoebas. Doctoral Thesis, 2017. doi: 10.13097/archive-ouverte/unige:96300
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Creation17/08/2017 11:22:00
First validation17/08/2017 11:22:00
Update15/03/2023 01:57:11
Status update15/03/2023 01:57:11
Last indexation13/05/2025 17:24:12
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