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- Felix Effenberger
- J. Comb. Theory, Ser. A
- 2011

Tightness of a triangulated manifold is a topological condition, roughly meaning that any simplexwise linear embedding of the triangulation into Euclidean space is “as convex as possible”. It can thus be understood as a generalization of the concept of convexity. In even dimensions, super-neighborliness is known to be a purely combinatorial condition which… (More)

- Felix Effenberger, Jürgen Jost, Anna Levina
- PLoS Computational Biology
- 2015

Structural inhomogeneities in synaptic efficacies have a strong impact on population response dynamics of cortical networks and are believed to play an important role in their functioning. However, little is known about how such inhomogeneities could evolve by means of synaptic plasticity. Here we present an adaptive model of a balanced neuronal network… (More)

- Felix Effenberger, Jonathan Spreer
- ACM Comm. Computer Algebra
- 2010

simpcomp [4] is an extension (a so called package) to GAP [6], the well known system for computational discrete algebra. The package enables the user to compute numerous properties of (abstract) simplicial complexes, provides functions to construct new complexes from existing ones and an extensive library of triangulations of manifolds. For an introduction… (More)

- Felix Effenberger, Daniel Weiskopf
- Computat. and Visualiz. in Science
- 2010

We present a novel approach to finding critical points in cell-wise barycentrically or bilinearly interpolated vector fields on surfaces. The Poincaré index of the critical points is determined by investigating the qualitative behavior of 0-level sets of the interpolants of the vector field components in parameter space using precomputed combinatorial… (More)

- Felix Effenberger, Wolfgang Kühnel
- Discrete & Computational Geometry
- 2010

This work is set in the field of combinatorial topology, a mathematical field of research in the intersection of the fields of topology, geometry, polytope theory and combinatorics. This work investigates polyhedral manifolds as subcomplexes of the boundary complex of a regular polytope. Such a subcomplex is called k-Hamiltonian, if it contains the full… (More)

simpcomp is a GAP package for working with simplicial complexes. It allows the computation of many properties of simplicial complexes (such as the f -, gand h-vectors, the face lattice, the automorphism group, (co-)homology with explicit basis computation, intersection form, etc.) and provides the user with functions to compute new complexes from old… (More)

simpcomp is an extension to GAP, the well known system for computational discrete algebra. It allows the user to work with simplicial complexes. In the latest version, support for simplicial blowups and discrete normal surfaces was added, both features unique to simpcomp. Furthermore, new functions for constructing certain infinite series of triangulations… (More)

- Christopher J. Hillar, Felix Effenberger
- INNS Conference on Big Data
- 2015

We present here a novel method for the classical task of extracting reoccurring spatiotemporal patterns from spiking activity of large populations of neurons. In contrast to previous studies that mainly focus on synchrony detection or exactly recurring binary patterns, we perform the search in an approximate way that clusters together nearby, noisy network… (More)

simpcomp is a GAP package for working with simplicial complexes. It allows the computation of many properties of simplicial complexes (such as the f -, gand h-vectors, the face lattice, the automorphism group, (co-)homology with explicit basis computation, intersection form, etc.) and provides the user with functions to compute new complexes from old… (More)

- Felix Effenberger, Christopher J. Hillar
- SIMBAD
- 2015

Felix E↵enberger, Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany Christopher Hillar, Redwood Center for Theoretical Neuroscience, Berkeley, CA 94720, USA Summary. We present here a novel method for finding and extracting salient low-dimensional representations of the dynamics of populations of spiking neurons. This is a classical… (More)