53 citations · 222 across the 25 of their papers we have counts for
30 papers
Amoeba Measures of Random Plane Curves
Ali Ulaş Özgür Kişisel, Jean-Yves Welschinger
We prove that the expected area of the amoeba of a complex plane curve of degree is less than and once rescaled by , is asympto…
Morse shellings out of discrete Morse functions
Jean-Yves Welschinger
From the topological viewpoint, Morse shellings of finite simplicial complexes are {\it pinched} handle decompositions and extend the classical shellings. We prove that every discr…
Shellable tilings on relative simplicial complexes and their h-vectors
Jean-Yves Welschinger
An h-tiling on a finite simplicial complex is a partition of its geometric realization by maximal simplices deprived of several codimension one faces together with possibly their r…
Spectral sequences of a Morse shelling
Jean-Yves Welschinger
We recently introduced a notion of tilings of geometric realizations of finite relative simplicial complexes and related those tilings to the discrete Morse theory of R. Forman, es…
Morse shellings on products
Jean-Yves Welschinger
We recently defined a property of Morse shellability (and tileability) of finite simplicial complexes which extends the classical one and its relations with discrete Morse theory.…
Morse shellings and compatible discrete Morse functions
Nermin Salepci, Jean-Yves Welschinger
We introduce a notion of Morse shellings (and tilings) on finite simplicial complexes which extends the classical one and its relation to discrete Morse theory.Skeletons and baryce…