Publications related to Σ-compact space

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

A type I conjecture and boundary representations of hyperbolic groups

Nicolas Monod

We establish new results on the weak containment of quasi-regular and Koopman representations of a second countable locally compact group G

G

associated with nonsingular G

G

-spaces. We deduce that any two boundary representations of a hyperbolic locally ...

WILEY2023

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

Typicality results for weak solutions of the incompressible Navier-Stokes equations

Maria Colombo, Luigi De Rosa, Massimo Sorella

In this work we show that, in the class of L-infinity((0,T); L-2(T-3)) distributional solutions of the incompressible Navier-Stokes system, the ones which are smooth in some open interval of times are meagre in the sense of Baire category, and the Leray on ...

EDP SCIENCES S A2022

Maximizing friction by liquid flow clogging in confinement

Ignacio Pagonabarraga Mora, Xiaoqi Zhang, Shan Chen

In the nanoscale regime, flow behaviors for liquids show qualitative deviations from bulk expectations. In this work, we reveal by molecular dynamics simulations that plug flow down to nanoscale induces molecular friction that leads to a new flow structure ...

SPRINGER2022

Compact, spatial-mode-interaction-free, ultralow-loss, nonlinear photonic integrated circuits

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

Multi-mode waveguides are ubiquitously used in integrated photonics. Although interaction among different spatial waveguide eigenmodes can induce novel nonlinear phenomena, spatial mode interaction is typically undesired. Adiabatic bends, such as Euler ben ...

NATURE PORTFOLIO2022

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

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

A type I conjecture and boundary representations of hyperbolic groups

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

Localization errors of the stochastic heat equation

Typicality results for weak solutions of the incompressible Navier-Stokes equations

Maximizing friction by liquid flow clogging in confinement

Compact, spatial-mode-interaction-free, ultralow-loss, nonlinear photonic integrated circuits

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

A type I conjecture and boundary representations of hyperbolic groups

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

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

Typicality results for weak solutions of the incompressible Navier-Stokes equations

Maximizing friction by liquid flow clogging in confinement

A combinatorial proof of a sumset conjecture of Furstenberg

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

Localization errors of the stochastic heat equation

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

Compact, spatial-mode-interaction-free, ultralow-loss, nonlinear photonic integrated circuits