35 citations · 78 across the 11 of their papers we have counts for
11 papers
Amoebas and coamoebas of linear spaces
Mounir Nisse, Mikael Passare
We give a complete description of amoebas and coamoebas of -dimensional very affine linear spaces in . This include an upper bound of their dimension, and we…
Discriminant coamoebas through homology
Mikael Passare, Frank Sottile
Understanding the complement of the coamoeba of a (reduced) A-discriminant is one approach to studying the monodromy of solutions to the corresponding system of A-hypergeometric di…
Amoebas of complex hypersurfaces in statistical thermodynamics
Mikael Passare, Dmitry Pochekutov, August Tsikh
The amoeba of a complex hypersurface is its image under a logarithmic projection. A number of properties of algebraic hypersurface amoebas are carried over to the case of transcend…
Euler--Mellin integrals and A-hypergeometric functions
Christine Berkesch, Jens Forsgård, Mikael Passare
We consider integrals that generalize both the Mellin transforms of rational functions of the form 1/f and the classical Euler integrals. The domains of integration of our so-calle…
On the curvature of the real amoeba
Mikael Passare, Jean-Jacques Risler
For a real smooth algebraic curve $A \subset (\mathhbb{C}^*)^2$, the amoeba is the image of under the map Log : $(x,y) \mapsto (\log |x|, \lo…
Mellin transforms of multivariate rational functions
Lisa Nilsson, Mikael Passare
This paper deals with Mellin transforms of rational functions in several variables. We prove that the polar set of such a Mellin transform consists of finitely many families…