Zipper logic is a graph rewrite system, consisting in only local rewrites on a class of zipper graphs. Connections with the chemlambda artificial chemistry and with knot diagrammatics based computation are explored in the article.
arXiv research
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Study zippers in hyperbolic 3-manifolds, proving fixed point dichotomy.
The article contains a construction of a self-similar dendryte which cannot be the attractor of any self-similar zipper.
Paper introduces 'zippers' for constructing universal circles.
We propose a construction which transforms a self-similar zipper in to a self-affine zipper whose attractor is a smooth curve.
Study finds a limiting distribution for free path lengths on flat surfaces with circular obstacles.
Using zippered rectangle coordinates we parametrize a Poincaré section for horocycle flow on the space of genus 2 translation surfaces with one singular cone point of angle . In addition, we bound the return time under horocycle flow to this Poincaré section by examining a subset of surfaces where a certain sum of …
Very few results are known about the topology of the strata of the moduli space of quadratic differentials. In this paper, we prove that any connected component of such strata has only one topological end. A typical flat surface in a neighborhood of the boundary is naturally split by a collection of parallel short sadd…
New method for flexible tubes and structures, enabling rigid-foldability.
Most digital cameras use sensors coated with a Color Filter Array (CFA) to capture channel components at every pixel location, resulting in a mosaic image that does not contain pixel values in all channels. Current research on reconstructing these missing channels, also known as demosaicing, introduces many artifacts, …
CaTherine wheels map between diverse geometric fields.