Publications related to Low-dimensional topology

High resolution and three-dimensional printing in complex photosensitive materials

Christophe Moser, Antoine Vincent Boniface

The present invention is related to a method of volumetric manufacturing a three-dimensional object or article by illuminating a non-transparent and/or absorptive photo-sensitive material with light patterns from multiple angles, comprising the steps of ca ...

2022

Topology of synaptic connectivity constrains neuronal stimulus representation, predicting two complementary coding strategies

Michael Reimann, Christoph Pokorny, Ran Levi

In motor-related brain regions, movement intention has been successfully decoded from invivo spike train by isolating a lower-dimension manifold that the high-dimensional spiking activity is constrained to. The mechanism enforcing this constraint remains u ...

PUBLIC LIBRARY SCIENCE2022

Genuinely distributed Byzantine machine learning

Rachid Guerraoui, El Mahdi El Mhamdi, Le Nguyen Hoang, Sébastien Louis Alexandre Rouault, Arsany Hany Abdelmessih Guirguis

Machine learning (ML) solutions are nowadays distributed, according to the so-called server/worker architecture. One server holds the model parameters while several workers train the model. Clearly, such architecture is prone to various types of component ...

2022

Invariant tori in dissipative hyperchaos

Tobias Schneider, Jeremy Peter Parker

One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non-chaotic yet dynamically unstable invariant solutions embedded in the system's chaotic attractor. The significance of zero-dimensional unstable fixed points ...

AIP Publishing2022

Three-dimensional Fermi surfaces from charge order in layered CsV3Sb5

Philip Johannes Walter Moll, Matthias Carsten Putzke, Yi-Chiang Sun, Chunyu Guo, Xiangwei Huang

The cascade of electronic phases in CsV3Sb5 raises the prospect to disentangle their mutual interactions in a clean, strongly interacting kagome lattice. When the kagome planes are stacked into a crystal, its electronic dimensionality encodes how much of t ...

AMER PHYSICAL SOC2022

Computed Three-Dimensional Atomic Force Microscopy Images of Biopolymers Using the Jarzynski Equality

Marcos Penedo Garcia

Three-dimensional atomic force microscopy (3D-AFM) has resolved three-dimensional distributions of solvent molecules at solid-liquid interfaces at the subnanometer scale. This method is now being extended to the imaging of biopolymer assemblies such as chr ...

AMER CHEMICAL SOC2022

Water management of the proton exchange membrane fuel cells: Optimizing the effect of microstructural properties on the gas diffusion layer liquid removal

Jan Van Herle, Hossein Pourrahmani

The formation of water columns inside the gas diffusion layer (GDL) of the proton exchange membrane fuel cell (PEMFC), which is harmful phenomenon, can be controlled by the GDL's microstructure and material. Using computational fluid dynamics (CFD), a thre ...

PERGAMON-ELSEVIER SCIENCE LTD2022

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Xavier Fernandez-Real Girona

We investigate the regularity of the free boundary for the Signorini problem in Rn+1. It is known that regular points are (n−1)-dimensional and C∞. However, even for C∞ obstacles φ, the set of non-regular (or degenerate) points could be very large—e.g. wit ...

2021

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Low-dimensional topology

High resolution and three-dimensional printing in complex photosensitive materials

Topology of synaptic connectivity constrains neuronal stimulus representation, predicting two complementary coding strategies

Genuinely distributed Byzantine machine learning

Improving Functional Connectome Fingerprinting with Degree-Normalization

Algebra and geometry of link homology Lecture notes from the IHES 2021 Summer School

Invariant tori in dissipative hyperchaos

Three-dimensional Fermi surfaces from charge order in layered CsV3Sb5

Computed Three-Dimensional Atomic Force Microscopy Images of Biopolymers Using the Jarzynski Equality

Water management of the proton exchange membrane fuel cells: Optimizing the effect of microstructural properties on the gas diffusion layer liquid removal

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Graph Chatbot

Chat with Graph Search

Improving Functional Connectome Fingerprinting with Degree-Normalization

Water management of the proton exchange membrane fuel cells: Optimizing the effect of microstructural properties on the gas diffusion layer liquid removal

High resolution and three-dimensional printing in complex photosensitive materials

Algebra and geometry of link homology Lecture notes from the IHES 2021 Summer School

Topology of synaptic connectivity constrains neuronal stimulus representation, predicting two complementary coding strategies

Genuinely distributed Byzantine machine learning

Three-dimensional Fermi surfaces from charge order in layered CsV3Sb5

Invariant tori in dissipative hyperchaos

Computed Three-Dimensional Atomic Force Microscopy Images of Biopolymers Using the Jarzynski Equality

Free Boundary Regularity for Almost Every Solution to the Signorini Problem