26 citations · 54 across the 6 of their papers we have counts for
7 papers
EFECT: A Method to Quantify the Reproducibility of Stochastic Simulations
T. J. Sego, Matthias König, Luis L. Fonseca +13
Reproducibility is a fundamental requirement for validating scientific claims in computational research. Stochastic computational models are widely used in fields such as systems b…
Topological Exchange Statistics in One Dimension
N. L. Harshman, A. C. Knapp
The standard topological approach to indistinguishable particles formulates exchange statistics by using the fundamental group to analyze the connectedness of the configuration spa…
Anyons from Three-Body Hard-Core Interactions in One Dimension
N. L. Harshman, A. C. Knapp
Traditional anyons in two dimensions have generalized exchange statistics governed by the braid group. By analyzing the topology of configuration space, we discover that an alterna…
Coincidence Structures and Hard-Core Few-Body Interactions
N. L. Harshman, Adam Knapp
The symmetry and topology of the coincidence structure, i.e. the locus of points in configuration space corresponding to particles in the same position, plays a critical role in ex…
Invariants of Montesinos Twins
Adam C. Knapp
C. Giller proposed an invariant of ribbon 2-knots in S^4 based on a type of skein relation for a projection to R^3. In certain cases, this invariant is equal to the Alexander polyn…
Symplectic Structures on the cotangent bundles of open 4-manifolds
Adam Knapp
We show that, for any two orientable smooth open 4-manifolds which are homeomorphic, their cotangent bundles are symplectomorphic with their canonical sym…
Computations of Floer Homology for certain Lagrangian Tori in closed 4-manifolds
Adam Knapp
We compute the Lagrangian Floer cohomology groups of certain tori in closed simply connected symplectic 4-manifolds arising from Fintushel-Stern knot surgery. These manifolds are u…