3 papers
math.AG2025
Liftings of polynomial systems decreasing the mixed volume
Christopher Borger, Thomas Kahle, Andreas Kretschmer +2
The BKK theorem states that the mixed volume of the Newton polytopes of a system of polynomial equations upper bounds the number of isolated torus solutions of the system. Homotopy…
math.ST2025
Optimal designs for discrete choice models via graph Laplacians
Frank Röttger, Thomas Kahle, Rainer Schwabe
In discrete choice experiments, the information matrix depends on the model parameters. Therefore designing optimally informative experiments for arbitrary initial parameters often…
math.CO2025
Extreme Values of Permutation Statistics
Philip Dörr, Thomas Kahle
We investigate extreme values of Mahonian and Eulerian distributions arising from counting inversions and descents of random elements of finite Coxeter groups. To this end, we cons…