Contingency Tables with Variable Margins (with an Appendix by Pavel Etingof)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Kapranov, Mikhail, Schechtman, Vadim
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210786
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Contingency Tables with Variable Margins (with an Appendix by Pavel Etingof). Mikhail Kapranov and Vadim Schechtman. SIGMA 16 (2020), 062, 22 pages

Motivated by applications to perverse sheaves, we study the combinatorics of two cell decompositions of the symmetric product of the complex line, refining the complex stratification by multiplicities. Contingency matrices, appearing in classical statistics, parametrize the cells of one such decompo...