Search Results - "Theran, Louis"

Reconstruction in One Dimension from Unlabeled Euclidean Lengths by Connelly, Robert, Gortler, Steven J., Theran, Louis

“…Let G be a 3-connected ordered graph with n vertices and m edges. Let p be a randomly chosen mapping of these n vertices to the integer range { 1 , 2 , 3 , … ,…”
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Generically Globally Rigid Graphs Have Generic Universally Rigid Frameworks by Connelly, Robert, Gortler, Steven J., Theran, Louis

“…We show that any graph that is generically globally rigid in ℝ d has a realization in ℝ d that is both generic and universally rigid. This also implies that…”
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Analytic analysis of auxetic metamaterials through analogy with rigid link systems by Rayneau-Kirkhope, Daniel, Zhang, Chengzhao, Theran, Louis, Dias, Marcelo A.

“…In recent years, many structural motifs have been designed with the aim of creating auxetic metamaterials. One area of particular interest in this subject is…”
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Generic combinatorial rigidity of periodic frameworks by Malestein, Justin, Theran, Louis

“…We give a combinatorial characterization of generic minimal rigidity for planar periodic frameworks. The characterization is a true analogue of the…”
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GENERIC UNLABELED GLOBAL RIGIDITY by GORTLER, STEVEN J., THERAN, LOUIS, THURSTON, DYLAN P.

“…Let $\mathbf{p}$ be a configuration of $n$ points in $\mathbb{R}^{d}$ for some $n$ and some $d\geqslant 2$ . Each pair of points has a Euclidean distance in…”
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Slider-Pinning Rigidity: a Maxwell–Laman-Type Theorem by Streinu, Ileana, Theran, Louis

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Algebraic Matroids in Action by Rosen, Zvi, Sidman, Jessica, Theran, Louis

“…In recent years, various notions of algebraic independence have emerged as a central and unifying theme in a number of areas of applied mathematics, including…”
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Frameworks with Forced Symmetry I: Reflections and Rotations by Malestein, Justin, Theran, Louis

“…We give a combinatorial characterization of generic frameworks that are minimally rigid under the additional constraint of maintaining symmetry with respect to…”
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Transverse rigidity is prestress stability by Gortler, Steven J., Holmes-Cerfon, Miranda, Theran, Louis

“…Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call “transverse rigidity”. We show that transverse rigidity is…”
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Rigidity for sticky discs by Connelly, Robert, Gortler, Steven J, Theran, Louis

“…We study the combinatorial and rigidity properties of disc packings with generic radii. We show that a packing of discs in the plane with generic radii cannot…”
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Rigidity for sticky discs by Connelly, Robert, Gortler, Steven J., Theran, Louis

“…We study the combinatorial and rigidity properties of disc packings with generic radii. We show that a packing of n discs in the plane with generic radii…”
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Hidden symmetries generate rigid folding mechanisms in periodic origami by McInerney, James, Chen, Bryan Gin-ge, Theran, Louis, Santangelo, Christian D., Rocklin, D. Zeb

“…We consider the zero-energy deformations of periodic origami sheets with generic crease patterns. Using a mapping from the linear folding motions of such…”
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Affine Rigidity and Conics at Infinity by Connelly, Robert, Gortler, Steven J., Theran, Louis

“…Abstract We prove that if a framework of a graph is neighborhood affine rigid in $d$-dimensions (or has the stronger property of having an equilibrium stress…”
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Almost-Rigidity of Frameworks by Holmes‐Cerfon, Miranda, Theran, Louis, Gortler, Steven J.

“…Here, we extend the mathematical theory of rigidity of frameworks (graphs embedded in d-dimensional space) to consider nonlocal rigidity and flexibility…”
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Trilateration Using Unlabeled Path or Loop Lengths by Gkioulekas, Ioannis, Gortler, Steven J., Theran, Louis, Zickler, Todd

“…Let p be a configuration of n points in R d for some n and some d ≥ 2 . Each pair of points defines an edge, which has a Euclidean length in the configuration…”
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Almost‐Rigidity of Frameworks by Holmes‐Cerfon, Miranda, Theran, Louis, Gortler, Steven J.

“…We extend the mathematical theory of rigidity of frameworks (graphs embedded in d‐dimensional space) to consider nonlocal rigidity and flexibility properties…”
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Maximum likelihood thresholds via graph rigidity by Bernstein, Daniel Irving, Dewar, Sean, Gortler, Steven J., Nixon, Anthony, Sitharam, Meera, Theran, Louis

“…The maximum likelihood threshold (MLT) of a graph G is the minimum number of samples to almost surely guarantee existence of the maximum likelihood estimate in…”
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Frameworks with forced symmetry II: orientation-preserving crystallographic groups by Malestein, Justin, Theran, Louis

“…We give a combinatorial characterization of minimally rigid planar frameworks with orientation-preserving crystallographic symmetry, under the constraint of…”
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Topological designs by Malestein, Justin, Rivin, Igor, Theran, Louis

“…We give an exponential upper and a quadratic lower bound on the number of pairwise non-isotopic simple closed curves which can be placed on a closed surface of…”
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Analytic analysis of auxetic metamaterials through analogy with rigid link systems by Rayneau-Kirkhope, Daniel, Zhang, Chengzhao, Theran, Louis, Dias, Marcelo A.

“…In recent years, many structural motifs have been designed with the aim of creating auxetic metamaterials. One area of particular interest in this subject is…”
Get full text