Publications related to Relatively compact subspace

NbN films with high kinetic inductance for high-quality compact superconducting resonators

Edoardo Charbon, Pasquale Scarlino, Fabrizio Minganti, Simone Frasca, Marco Scigliuzzo, Vincent Jean Yves Jouanny, Fabian Oppliger, Roberto Musio

Niobium nitride (NbN) is a particularly promising material for quantum technology applications, as it shows the degree of reproducibility necessary for large-scale superconducting circuits. We demonstrate that resonators based on NbN thin films present a o ...

2023

Compact, Spatial-mode-interaction-free, Ultralow-loss, Nonlinear photonic integrated circuits

Tobias Kippenberg, Rui Ning Wang, Xinru Ji, Zheru Qiu, Junqiu Liu, Jijun He

We implement Euler bends to build compact high-Q Si3N4 racetrack microresonators, featuring a small footprint of only 0.21 mm(2) for 19.8 GHz FSR. We demonstrate that these multi-mode microresonators can be operated in the single-mode regime and generate a ...

IEEE2022

Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

Maria Carola Colombo, Silja Noëmi Aline Haffter

We consider the SQG equation with dissipation given by a fractional Laplacian of order α

2021

A combinatorial proof of a sumset conjecture of Furstenberg

Florian Karl Richter

We give a new proof of a sumset conjecture of Furstenberg that was first proved by Hochman and Shmerkin in 2012: if

\log r / \log s

is irrational and

X

and

Y

are

\times r

- and

\times s

-invariant subsets of

[0,1]

, respectively, then $\dim_\text{ ...

2021

Reaching Paris Agreement Goal through CDR/DAC Development: A Compact OR Model

Marc Vielle, Frédéric Louis François Babonneau, Alain Haurie

A compact operations research (OR) model is proposed to analyse the prospects of meeting the Paris Agreement targets when direct air capture technologies can be used or not. The main features of the model are (i) the representation of the economy and energ ...

2021

Log Barriers for Safe Non-convex Black-box Optimization

Maryam Kamgarpour, Andreas Krause, Ilnura Usmanova

We address the problem of minimizing a smooth function f0(x) over a compact set D defined by smooth functional constraints fi(x)≤0, i=1,…,m given noisy value measurements of fi(x). This problem arises in safety-critical applications, where certain paramete ...

2019

Quantitative estimate on singularities in isoperimetric clusters

Maria Colombo

We prove a quantitative estimate on the number of certain singularities in almost minimizing clusters. In particular, we consider the singular points belonging to the lowest stratum of the Federer-Almgren stratification (namely, where each tangent cone doe ...

2019

Some regularity results for p-harmonic mappings between Riemannian manifolds

Changyu Guo

Let M be a C-2-smooth Riemannian manifold with boundary and N a complete C-2-smooth Riemannian manifold. We show that each stationary p-harmonic mapping u: M -> N, whose image lies in a compact subset of N, is locally C-1,C-alpha for some alpha is an eleme ...

2019

Hardware/Software Co-Design and Reliability Analysis of Ultra-Low Power Biomedical Devices

Soumya Subhra Basu

Smart health monitoring devices, known as Wireless Body Sensor Nodes (WBSN) are transforming today's health-care landscape, shifting it from traditional hospital-based methods toward more personalized approaches. Their demand is ever-increasing in the mode ...

EPFL2019

Relatively compact subspace

Graph Chatbot

Chat with Graph Search

NbN films with high kinetic inductance for high-quality compact superconducting resonators

Compact, Spatial-mode-interaction-free, Ultralow-loss, Nonlinear photonic integrated circuits

Localization errors of the stochastic heat equation

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

A combinatorial proof of a sumset conjecture of Furstenberg

Reaching Paris Agreement Goal through CDR/DAC Development: A Compact OR Model

Log Barriers for Safe Non-convex Black-box Optimization

Quantitative estimate on singularities in isoperimetric clusters

Some regularity results for p-harmonic mappings between Riemannian manifolds

Hardware/Software Co-Design and Reliability Analysis of Ultra-Low Power Biomedical Devices

Some regularity results for p-harmonic mappings between Riemannian manifolds

A combinatorial proof of a sumset conjecture of Furstenberg

Localization errors of the stochastic heat equation

Reaching Paris Agreement Goal through CDR/DAC Development: A Compact OR Model

Compact, Spatial-mode-interaction-free, Ultralow-loss, Nonlinear photonic integrated circuits

NbN films with high kinetic inductance for high-quality compact superconducting resonators

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

Quantitative estimate on singularities in isoperimetric clusters

Log Barriers for Safe Non-convex Black-box Optimization

Hardware/Software Co-Design and Reliability Analysis of Ultra-Low Power Biomedical Devices