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Polymeric particles are strong candidates for designing artificial materials capable of emulating the complex twisting-based functionality observed in biological systems. In this letter, we provide the first detailed investigation of the…

Soft Condensed Matter · Physics 2019-10-16 H. S. Ansell , D. S. Kim , R. D. Kamien , E. Katifori , T. Lopez-Leon

Many simple natural phenomena are characterized by complex motion that appears random at first glance, but that often displays underlying patterns and behavior that can be clustered in groups. The movement of small pieces of paper falling…

Data Analysis, Statistics and Probability · Physics 2022-10-10 Arthur A. B. Pessa , Matjaz Perc , Haroldo V. Ribeiro

Contact involving soft materials often combines dry adhesion, sliding friction, and large deformations. At the local level, these three aspects are rarely captured simultaneously, but included in the theoretical models by Mergel et al.…

Computational Engineering, Finance, and Science · Computer Science 2020-12-03 Janine C. Mergel , Julien Scheibert , Roger A. Sauer

We study bounded domains with certain smoothness conditions and the properties of their squeezing functions in order to prove that the domains are biholomorphic to the ball.

Complex Variables · Mathematics 2016-04-19 Klas Diederich , John Erik Fornæss , Erlend Fornæss Wold

We construct flat metrics in a given conformal class with prescribed singularities of real orders at marked points of a closed real surface. The singularities can be small conical, cylindrical, and large conical with possible translation…

Differential Geometry · Mathematics 2011-01-13 Sergiu Moroianu

A laterally confined thin elastic sheet lying on a liquid substrate displays regular undulations, called wrinkles, characterized by a spatially extended energy distribution and a well-defined wavelength $\lambda$. As the confinement…

Soft Condensed Matter · Physics 2015-06-30 Oz Oshri , Fabian Brau , Haim Diamant

The scaling properties of one-dimensional deconstructed surfaces are studied by numerical simulations of a disaggregation model. The model presented here for the disaggregation process takes into account the possibility of having quenched…

Statistical Mechanics · Physics 2007-05-23 Juan R. Sanchez

In this note, we consider the $d$-cluster-tilted algebras, the endomorphism algebras of $d$-cluster-tilting objects in $d$-cluster categories. We show that a tilting module over such an algebra lifts to a $d$-cluster-tilting object in this…

Representation Theory · Mathematics 2008-12-29 Pin Liu

This review explores particle resuspension from surfaces due to fluid flows. The objective of this review is to provide a general framework and terminology for particle resuspension while highlighting the future developments needed to…

Fluid Dynamics · Physics 2018-02-20 Christophe Henry

Some boundedness properties of function spaces (considered as topological groups) are studied.

General Topology · Mathematics 2017-10-31 L'ubica Holá , Ljubiša D. R. Kočinac

This paper is devoted to a detailed investigation of the perturbed pendulum-like motions of a heavy rigid body about a fixed point. Canonical variables that allow one to simplify the analysis of homoclinic and heteroclinic orbits are…

Chaotic Dynamics · Physics 2012-12-11 Igor N. Gashenenko

We define and study slider-pinning rigidity, giving a complete combinatorial characterization. This is done via direction-slider networks, which are a generalization of Whiteley's direction networks.

Combinatorics · Mathematics 2010-08-12 Ileana Streinu , Louis Theran

A loop of chain can move along its own tangents, maintaining a steady shape. An open-ended chain undergoing a nontrivial motion must change its shape. One consequence is that chains pulled around objects will fail to follow the contours of…

Fluid Dynamics · Physics 2012-09-05 A. D. Cambou , B. D. Gamari , E. Hamm , J. A. Hanna , N. Menon , C. D. Santangelo , L. Walsh

Recent results on finite open group transformations are reviewed.

High Energy Physics - Theory · Physics 2007-05-23 Robert Marnelius

We investigate experimentally the collective behavior of a wet granular monolayer under vertical vibrations. The spherical particles are partially wet such that there are short-ranged attractive interactions between adjacent particles. As…

Soft Condensed Matter · Physics 2017-08-02 Philipp Ramming , Kai Huang

This survey reviews a collection of parallel phenomena between free boundary submanifolds in the Euclidean unit ball and closed submanifolds in the sphere, with particular emphasis on rigidity mechanisms, pinching thresholds, and canonical…

Differential Geometry · Mathematics 2026-03-16 Niang Chen

We prove that the space of circle packings consistent with a given triangulation on a surface of genus at least two is projectively rigid, so that a packing on a complex projective surface is not deformable within that complex projective…

Geometric Topology · Mathematics 2023-07-19 Francesco Bonsante , Michael Wolf

The paper gives an overview of the problems and methods of recovery of structure and motion parameters of rigid bodies from multiframes.

Computer Vision and Pattern Recognition · Computer Science 2018-12-03 Mieczysław A. Kłopotek

We explore the influence of density fluctuations on isotropic and anisotropic configurations, extending the concept of cracking for general relativistic fluid spheres. This concept, conceived to describe the behaviour of anisotropic matter…

General Relativity and Quantum Cosmology · Physics 2016-11-16 Guillermo A. Gonzalez , Anamaria Navarro , Luis A. Nunez

Active systems of self-rotating elements inherently exhibit chirality, making them of fundamental interest due to parity violation. Using large-scale hydrodynamic simulations, we investigate the gelation of adhesive spinners confined to…

Soft Condensed Matter · Physics 2025-04-30 Yujie Jiang , Haiquan Li , Yiting Liu , Haoran Li , Yang Cui