Concept
Carl Friedrich Gauss
Related publications (32)
Additive and geometric transversality of fractal sets in the integers
By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases. In this work, we in ...
2024Functional data analysis with rough sample paths?
Victor Panaretos, Neda Mohammadi Jouzdani
Functional data are typically modeled as sample paths of smooth stochastic processes in order to mitigate the fact that they are often observed discretely and noisily, occasionally irregularly and sparsely. The smoothness assumption is imposed to allow for ...
TAYLOR & FRANCIS LTD2023An experimental validation of the polynomial curvature model: identification and optimal control of a soft underwater tentacle
Josephine Anna Eleanor Hughes, Francesco Stella, Nana Obayashi
The control possibilities for soft robots have long been hindered by the lack of accurate yet computationally treatable dynamic models of soft structures. Polynomial curvature models propose a solution to this quest for continuum slender structures. Nevert ...
Institute of Electrical and Electronics Engineers Inc.2022Comparing Annual Glare Simulation Methods
Recently, there have been multiple proposals for faster methods to calculate glare metrics, daylight glare probability (DGP) in particular. This is driven simultaneously by the lengthy times required to simulate DGP with a conventional image-based approach ...
2022Voss surfaces: A design space for geodesic gridshells
Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel
The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...
2021The art of simulating the early universe. Part I. Integration techniques and canonical cases
Daniel Garcia Figueroa, Adrien Florio, Wessel Valkenburg, Francisco Torrenti
We present a comprehensive discussion on lattice techniques for the simulation of scalar and gauge field dynamics in an expanding universe. After reviewing the continuum formulation of scalar and gauge field interactions in Minkowski and FLRW backgrounds, ...
2021Fourier uniqueness in even dimensions
In recent work, methods from the theory of modular forms were used to obtain Fourier uniqueness results in several key dimensions (d = 1, 8, 24), in which a function could be uniquely reconstructed from the values of it and its Fourier transform on a discr ...
2021How to weave a perfect sphere with curved strips
Mark Pauly, Tian Chen, Yingying Ren
Triaxial weaving, a craft technique that enables the generation of surfaces with tri-directional arrays of initially straight elastic strips, has long been loved by basket makers and artists seeking a combination of practical and aesthetically-pleasing str ...
American Physical Society2020Voss Surfaces: A Design Space for Geodesic Gridshells
Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel
The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...
2020Zero-one laws for eventually always hitting points in in rapidly mixing systems
In this work we study the set of eventually always hitting points in shrinking target systems. These are points whose long orbit segments eventually hit the corresponding shrinking targets for all future times. We focus our attention on systems where trans ...
2020