15 citations · 29 across the 10 of their papers we have counts for
10 papers
Subadditivity of shifts, Eilenberg-Zilber shuffle products and homology of lattices
Karim Adiprasito, Anders Björner, Joel Hakavuori +2
We show that the maximal shifts in the minimal free resolution of the quotients of a polynomial ring by a monomial ideal are subadditive as a function of the homological degree. Th…
Let Δbe a Cohen-Macaulay complex
Anders Björner
The concept of Cohen-Macaulay complexes emerged in the mid-1970s and swiftly became the focal point of an attractive and richly connected new area of mathematics, at the crossroads…
A cell complex in number theory
Anders Björner
Let De_n be the simplicial complex of squarefree positive integers less than or equal to n ordered by divisibility. It is known that the asymptotic rate of growth of its Euler char…
Note: Random-to-front shuffles on trees
Anders Björner
A Markov chain is considered whose states are orderings of an underlying fixed tree and whose transitions are local "random-to-front" reorderings, driven by a probability distribut…
Random walks, arrangements, cell complexes, greedoids, and self-organizing libraries
Anders Björner
The starting point is the known fact that some much-studied random walks on permutations, such as the Tsetlin library, arise from walks on real hyperplane arrangements. This paper…
A comparison theorem for -vectors of simplicial polytopes
Anders Björner
Let denote the number of -dimensional faces of a convex polytope . Furthermore, let and denote, respectively, the stacked and the cyclic -dimens…