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pro vyhledávání: '"Cantarella, Jason"'
Suppose we have an embedding of a graph $\mathbf{G}$ created by subdividing the edges of a simpler graph $\mathbf{G'}$. The edges of $\mathbf{G}$ can be divided into subsets which join pairs of ``junction'' vertices in $\mathbf{G'}$. The displacement
Externí odkaz:
http://arxiv.org/abs/2409.18767
Autor:
Cantarella, Jason, Schumacher, Henrik
We present the first algorithm for sampling random configurations of closed $n$-gons with any fixed edgelengths $r_1, \dots, r_n$ in any dimension $d$ which is proved to sample correctly from standard probability measures on these spaces. We generate
Externí odkaz:
http://arxiv.org/abs/2310.19134
We present a faster direct sampling algorithm for random equilateral closed polygons in three-dimensional space. This method improves on the moment polytope sampling algorithm of Cantarella, Duplantier, Shonkwiler, and Uehara (2016) and has (expected
Externí odkaz:
http://arxiv.org/abs/2309.10163
In this paper, we study random embeddings of polymer networks distributed according to any potential energy which can be expressed in terms of distances between pairs of monomers. This includes freely jointed chains, steric effects, Lennard-Jones pot
Externí odkaz:
http://arxiv.org/abs/2205.09049
Let $\Delta$ denote a non-degenerate $k$-simplex in $\mathbb{R}^k$. The set $\text{Sim}(\Delta)$ of simplices in $\mathbb{R}^k$ similar to $\Delta$ is diffeomorphic to $O(k)\times [0,\infty)\times \mathbb{R}^k$, where the factor in $O(k)$ is a matrix
Externí odkaz:
http://arxiv.org/abs/2106.12063
The square-peg problem asks if every Jordan curve in the plane has four points which are the vertices of a square. The problem is open for continuous Jordan curves, but it has been resolved for various regularity classes of curves between continuous
Externí odkaz:
http://arxiv.org/abs/2103.13848
We prove a transversality "lifting property" for compactified configuration spaces as an application of the multijet transversality theorem: given a submanifold of configurations of points on an embedding of a compact manifold $M$ in Euclidean space,
Externí odkaz:
http://arxiv.org/abs/2103.07506
Autor:
Tibor, Emily, Annoni, Elizabeth M., Brine-Doyle, Erin, Kumerow, Nicole, Shogren, Madeline, Cantarella, Jason, Shonkwiler, Clayton, Rawdon, Eric J.
The discovery of knotting in proteins and other macromolecular chains has motivated researchers to more carefully consider how to identify and classify knots in open arcs. Most definitions classify knotting in open arcs by constructing an ensemble of
Externí odkaz:
http://arxiv.org/abs/2011.08984
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 55 (2022), no. 47, 475202
We consider the topologically constrained random walk model for topological polymers. In this model, the polymer forms an arbitrary graph whose edges are selected from an appropriate multivariate Gaussian which takes into account the constraints impo
Externí odkaz:
http://arxiv.org/abs/2004.06199
Autor:
Cantarella, Jason, Schumacher, Henrik
Publikováno v:
SIAM Journal on Applied Algebra and Geometry 6, no. 3, 503-530, 2022
The conformal barycenter of a point cloud on the sphere at infinity of the Poincar\'e ball model of hyperbolic space is a hyperbolic analogue of the geometric median of a point cloud in Euclidean space. It was defined by Douady and Earle as part of a
Externí odkaz:
http://arxiv.org/abs/2004.03958