293 citations
- Freie Universität BerlinDE24 papers
- Technische Universität BerlinDE8 papers
- Humboldt-Universität zu BerlinDE5 papers
- Tel Aviv UniversityIL5 papers
- Exact Sciences (United States)US3 papers
- University of Illinois ChicagoUS3 papers
- ETH ZurichCH2 papers
- Institut des Hautes Études ScientifiquesFR2 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR2 papers
- Max Planck Institute for Gravitational PhysicsDE2 papers
- Universidade de São PauloBR2 papers
- Universität HamburgDE2 papers
6 papers · 1 filter
Many projectively unique polytopes
Karim A. Adiprasito, Günter M. Ziegler
We construct an infinite family of 4-polytopes whose realization spaces have dimension smaller or equal to 96. This in particular settles a problem going back to Legendre and Stein…
Biased Games On Random Boards
Asaf Ferber, Roman Glebov, Michael Krivelevich +1
In this paper we analyze biased Maker-Breaker games and Avoider-Enforcer games, both played on the edge set of a random board $G\sim \gnp$. In Maker-Breaker games there are two pla…
Merging divisorial with colored fans
Klaus Altmann, Valentina Kiritchenko, Lars Petersen
Given a spherical homogeneous space G/H of minimal rank, we provide a simple procedure to describe its embeddings as varieties with torus action in terms of divisorial fans. The to…
Approximation of the Laplace and Stokes operators with Dirichlet boundary conditions through volume penalization: a spectral viewpoint
Romain Nguyen van yen, Dmitry Kolomenskiy, Kai Schneider
We report the results of a detailed study of the spectral properties of Laplace and Stokes operators, modified with a volume penalization term designed to approximate Dirichlet con…
Parallelogram tilings, Worms and Finite Orientations
Dirk Frettlöh, Edmund Harriss
This paper studies properties of tilings of the plane by parallelograms. In particular it is established that in parallelogram tilings using a finite number of shapes all tiles occ…
Convex Equipartitions via Equivariant Obstruction Theory
Pavle V. M. Blagojević, Günter M. Ziegler
We describe a regular cell complex model for the configuration space F(\R^d,n). Based on this, we use Equivariant Obstruction Theory to prove the prime power case of the conjecture…