Publications related to Topology

Interaction of lightning-generated electromagnetic fields with overhead and underground cables

In this chapter, we discussed the TL theory and its application to the problem of lightning electromagnetic field coupling to transmission lines. After a short discussion on the underlying assumptions of the TL theory, we described seemingly different but ...

IET2022

Topological lattices realized in superconducting circuit optomechanics

Tobias Kippenberg, Amir Youssefi, Mahdi Chegnizadeh, Andrea Bancora, Shingo Kono, Tatiana Vovk

Cavity optomechanics enables the control of mechanical motion through the radiation-pressure interaction(1), and has contributed to the quantum control of engineered mechanical systems ranging from kilogramme-scale Laser Interferometer Gravitational-wave O ...

NATURE PORTFOLIO2022

Topological aspects of non-centrosymmetric magnets

Priya Ranjan Baral

The concept of chirality has been influencing many branches of physics for centuries. Onthe other hand, study of topology and related concepts have recently been introduced to thephysics community. Exotic quasiparticles, such as magnetic skyrmions emerge w ...

EPFL2022

A Modular Multilevel Converter with a Clamping Switch for Quasi-Three-Level Operation

Jakub Kucka

The required module capacitances of modular multilevel converters can be significantly reduced in comparison to conventional operation modes when quasi-two-level operation is applied. Unfortunately, the output voltage distortion becomes similar to those of ...

IEEE2021

A Distributed Luenberger Observer for Linear State Feedback Systems With Quantized and Rate-Limited Communications

Colin Neil Jones, Ye Pu, Andrea Alessandretti, Francisco Fernandes Castro Rego

This article addresses the problem of simultaneous distributed state estimation, and control of linear systems with linear state feedback, subjected to process, and measurement noise, under the constraints of quantized, and rate-limited network data transm ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

Guided accumulation of active particles by topological design of a second-order skin effect

Ignacio Pagonabarraga Mora, Samuel Sanchez

Collective guidance of out-of-equilibrium systems without using external fields is a challenge of paramount importance in active matter, ranging from bacterial colonies to swarms of self-propelled particles. Designing strategies to guide active matter and ...

NATURE PORTFOLIO2021

iPool--Information-Based Pooling in Hierarchical Graph Neural Networks

Pascal Frossard, Chenglin Li, Xing Gao

With the advent of data science, the analysis of network or graph data has become a very timely research problem. A variety of recent works have been proposed to generalize neural networks to graphs, either from a spectral graph theory or a spatial perspec ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

The Impact of Changes in Resolution on the Persistent Homology of Images

Adélie Eliane Garin

Digital images enable quantitative analysis of material properties at micro and macro length scales, but choosing an appropriate resolution when acquiring the image is challenging. A high resolution means longer image acquisition and larger data requiremen ...

IEEE2021

On Topological Equivalence in Linear Quadratic Optimal Control

Daniel Kuhn, Wouter Jongeneel

Dynamical systems are topologically equivalent when their orbits can be mapped onto each other via a homeomorphic change of coordinates. We will show that in general, closed-loop systems resulting from Linear Quadratic Optimal Control problems are all topo ...

2021

A stability theory beyond the co-rotational setting for critical wave maps blow up

Joachim Krieger, Shuang Miao

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some sufficiently smooth topology and vanishes near the light co ...

2020

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Interaction of lightning-generated electromagnetic fields with overhead and underground cables

Topological lattices realized in superconducting circuit optomechanics

Topological aspects of non-centrosymmetric magnets

A Modular Multilevel Converter with a Clamping Switch for Quasi-Three-Level Operation

A Distributed Luenberger Observer for Linear State Feedback Systems With Quantized and Rate-Limited Communications

Guided accumulation of active particles by topological design of a second-order skin effect

iPool--Information-Based Pooling in Hierarchical Graph Neural Networks

The Impact of Changes in Resolution on the Persistent Homology of Images

On Topological Equivalence in Linear Quadratic Optimal Control

A stability theory beyond the co-rotational setting for critical wave maps blow up

A Modular Multilevel Converter with a Clamping Switch for Quasi-Three-Level Operation

Guided accumulation of active particles by topological design of a second-order skin effect

On Topological Equivalence in Linear Quadratic Optimal Control

A stability theory beyond the co-rotational setting for critical wave maps blow up

Interaction of lightning-generated electromagnetic fields with overhead and underground cables

Topological aspects of non-centrosymmetric magnets

Topological lattices realized in superconducting circuit optomechanics

A Distributed Luenberger Observer for Linear State Feedback Systems With Quantized and Rate-Limited Communications

The Impact of Changes in Resolution on the Persistent Homology of Images

iPool--Information-Based Pooling in Hierarchical Graph Neural Networks