scholarly journals Euler–Mahonian statistics via polyhedral geometry

2013 ◽  
Vol 244 ◽  
pp. 925-954 ◽  
Author(s):  
Matthias Beck ◽  
Benjamin Braun
Keyword(s):  
Polyhedral Geometry ◽  
Mahonian Statistics

Tabula III: Kepler’s Mysterious Polyhedral Model

2017 ◽  
Vol 48 (3) ◽  
pp. 281-311 ◽  
Author(s):  
Noam Andrews
Keyword(s):  
Decorative Arts ◽  
Major Work ◽  
Polyhedral Model ◽  
Polyhedral Geometry

The article addresses the genesis and visualization of the capstone image to Kepler’s polyhedral hypothesis of the planetary intervals from his first major work, Mysterium Cosmographicum (1596). The contention is that the famous Tabula III was directed less by Kepler than it was an initiative spearheaded by Georg Gruppenbach, the printer of Mysterium, and Kepler’s mentor Michael Mäistlin, who sought to produce a marketable broadsheet that would appeal to the contemporary German fashion for illustrations of polyhedral geometry. More generally, the article seeks to redefine the key role played by the printing workshop and the decorative arts in the theory’s inception and ultimate graphic manifestation.

scholarly journals Some recent progress on inverse scattering problems within general polyhedral geometry

2021 ◽  
Vol 29 (1) ◽  
pp. 1753-1782 ◽  
Author(s):  
Xinlin Cao ◽  
◽  
Huaian Diao ◽  
Jinhong Li ◽  
◽  
...  
Keyword(s):  
Inverse Scattering ◽  
Recent Progress ◽  
Scattering Problems ◽  
Polyhedral Geometry ◽  
Inverse Scattering Problems

Euler–Mahonian Statistics on Ordered Set Partitions

2008 ◽  
Vol 22 (3) ◽  
pp. 1105-1137 ◽  
Author(s):  
Masao Ishikawa ◽  
Anisse Kasraoui ◽  
Jiang Zeng
Keyword(s):  
Ordered Set ◽  
Set Partitions ◽  
Ordered Set Partitions ◽  
Mahonian Statistics

scholarly journals New Euler–Mahonian Statistics on Permutations and Words

1997 ◽  
Vol 18 (3) ◽  
pp. 237-270 ◽  
Author(s):  
Robert J Clarke ◽  
Einar Steingrı́msson ◽  
Jiang Zeng
Keyword(s):  
Mahonian Statistics

scholarly journals The derangement problem relative to the Mahonian process

2003 ◽  
Vol 2003 (24) ◽  
pp. 1497-1508
Author(s):  
Jessica Delfert ◽  
Hillary Einziger ◽  
Don Rawlings
Keyword(s):  
Mahonian Statistics

We surveyn!plusq-derangement problems. Solutions to four Mahonian statistics arising in connection with cycle placement rules are presented. A few conjectures are also made.

Edges versus circuits: a hierarchy of diameters in polyhedra

2016 ◽  
Vol 16 (4) ◽  
Author(s):  
S. Borgwardt ◽  
J. A. De Loera ◽  
E. Finhold
Keyword(s):  
Open Problem ◽  
Linear Optimization ◽  
Graph Diameter ◽  
Polyhedral Geometry

AbstractThe study of the graph diameter of polytopes is a classical open problem in polyhedral geometry and the theory of linear optimization. In this paper we continue the investigation initiated in [

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