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Locally partial-ordered spaces (local po-spaces) have been used to model concurrent systems. We provide equivalences for these spaces by constructing a model category containing the category of local po-spaces. We show the category of…

Algebraic Topology · Mathematics 2016-04-26 Peter Bubenik , Krzysztof Worytkiewicz

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed…

Statistical Mechanics · Physics 2020-05-06 E. A. Jagla

A typical inflatable reflector for space application consists of two thin membranes with a parabolic shape. It is critical to understand the interaction of the inflatable and the micrometeoroid environment to which it is exposed. This…

Instrumentation and Methods for Astrophysics · Physics 2022-04-19 Michaela N. Villarreal , Jonathan W. Arenberg , Lauren Halvonik Harris

A series of simulations aimed at elucidating the self-assembly dynamics of spherical virus capsids is described. This little-understood phenomenon is a fascinating example of the complex processes that occur in the simplest of organisms.…

Soft Condensed Matter · Physics 2015-05-19 D. C. Rapaport

We introduce a simple spherical model whose structural properties are similar to the ones generated by models with directional interactions, by employing a binary mixture of large and small hard spheres, with a square-well attraction acting…

Disordered Systems and Neural Networks · Physics 2009-11-13 Emanuela Zaccarelli , Francesco Sciortino , Piero Tartaglia

Among an infinite number of possible folds, nature has chosen only about 1000 distinct folds to form protein structures. Theoretical studies suggest that selected folds are intrinsically more designable than others; these selected folds are…

Soft Condensed Matter · Physics 2009-11-11 Cristiano L. Dias , Martin Grant

Motivated by learning from experience and exploiting existing knowledge in civil nuclear operations, we have developed in-house generic PSA models for pressurized and boiling water reactors. The models are computationally light, handy,…

Physics and Society · Physics 2021-12-01 Ali Ayoub , Wolfgang Kröger , Didier Sornette

In nature, structural colour generation is based on discriminative light propagation associated with physical structures in the range of the wavelengths of light1. These iridescent structural colours are of immense significance2 but not…

Optics · Physics 2023-01-06 Naresh Yandrapalli , Baris Kumru , Tom Robinson , Markus Antonietti

There is an interplay between models, specified by variables and equations, and their connections to one another. This dichotomy should be reflected in the abstract as well. Without referring to the models directly -- only that a model…

Algebraic Topology · Mathematics 2016-11-04 Michael Robinson

An analytic solution for Helfrich spontaneous curvature membrane model (H. Naito, M.Okuda and Ou-Yang Zhong-Can, Phys. Rev. E {\bf 48}, 2304 (1993); {\bf 54}, 2816 (1996)), which has a conspicuous feature of representing the circular…

Soft Condensed Matter · Physics 2009-10-31 Quan-Hui Liu , Zhou Haijun , Ji-Xing Liu , Ou-Yang Zhong-Can

This key-issues review is a plea for a new focus on simpler and more realistic models of glass-forming fluids. It seems to me that we have too often been led astray by sophisticated mathematical models that beautifully capture some of the…

Statistical Mechanics · Physics 2015-06-17 J. S. Langer

Variations on the notions of Reedy model structures and projective model structures on categories of diagrams in a model category are introduced. These allow one to choose only a subset of the entries when defining weak equivalences, or to…

Algebraic Topology · Mathematics 2010-04-23 Mark W. Johnson

A generative probabilistic model for relational data consists of a family of probability distributions for relational structures over domains of different sizes. In most existing statistical relational learning (SRL) frameworks, these…

Machine Learning · Computer Science 2020-06-23 Manfred Jaeger , Oliver Schulte

This paper introduces the notion of prestacks of Tate type and studies natural geometric conditions on them. We also develop a formalism of Tate-coherent sheaves and define a dualizing gerbe for Tate schemes locally almost of finite type.

Algebraic Geometry · Mathematics 2020-10-19 Aron Heleodoro

The regular polyhedra have the highest order of 3D symmetries and are exceptionally at- tractive templates for (self)-assembly using minimal types of building blocks, from nano-cages and virus capsids to large scale constructions like glass…

Computational Geometry · Computer Science 2015-07-31 Muhibur Rasheed , Chandrajit Bajaj

The equation determining whether a projective structure admits a connection in its given projective class that has skew-symmetric Ricci tensor is an overdetermined system of semi-linear partial differential equations which we call the…

Differential Geometry · Mathematics 2015-06-15 Matthew Randall

The behavior of microgels near surfaces and their adsorption is studied by simple scaling theory. Two different types of microgels can be studied, i.e., fractal type microgels and randomly crosslinked polymer chains. In the first case the…

Soft Condensed Matter · Physics 2009-10-31 Thomas A. Vilgis , Michael Stapper

Given two arbitrary closed sets in Euclidean space, a simple transversality condition guarantees that the method of alternating projections converges locally, at linear rate, to a point in the intersection. Exact projection onto nonconvex…

Optimization and Control · Mathematics 2018-11-06 Dmitriy Drusvyatskiy , Adrian S. Lewis

We consider holomorphic foliations by curves on compact complex manifolds, for which we investigate the existence of projective structures along the leaves varying holomorphically (foliated projective structures), that satisfy particular…

Complex Variables · Mathematics 2026-01-13 Bertrand Deroin , Adolfo Guillot

We study complex analytic (possibly singular) projective connections on the plane. We characterize some of them in terms of their families of integral curves. We also give a beginning of classification of second order odes polynomial in the…

Differential Geometry · Mathematics 2023-01-12 Oumar Wone