## Neueste Zugänge

(2015)
Report
2. ### Gratwanderung der Schweizer Wirtschaft ﻿

(2020)
KOF Studies
Der Ausbruch der COVID-19-Pandemie führte in der Schweiz zu dem gravierendsten Einbruch der Wirtschaftstätigkeit seit über vier Jahrzehnten. Der achtwöchige Lockdown im Zeitraum zwischen März und Mai schlug sich stark auf die Schweizer Wirtschaft nieder und lähmte teilweise ganze Wirtschaftszweige. Zudem konnte sich die Schweiz als kleine, offene Volkswirtschaft der weltwirt¬schaftlichen Schockstarre und dem damit verbundenen Ausfall der ...
Report
3. ### On the conservation of energy in two-dimensional incompressible flows ﻿

(2020)
SAM Research Report
We prove the conservation of energy for weak and statistical solutions of the two-dimensional Euler equations, generated as strong (in an appropriate topology) limits of the underlying Navier-Stokes equations and a Monte Carlo-Spectral Viscosity numerical approximation, respectively. We characterize this conservation of energy in terms of a uniform decay of the so-called structure function, allowing us to extend existing results on energy ...
Report
4. ### Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven stochastic differential equations with smooth drift coefficient functions with at most polynomially growing derivatives ﻿

(2020)
SAM Research Report
In the recent article [A. Jentzen, B. Kuckuck, T. Müller-Gronbach, and L. Yaroslavtseva, arXiv:1904.05963 (2019)] it has been proved that the solutions to every additive noise driven stochastic differential equation (SDE) which has a drift coefficient function with at most polynomially growing first order partial derivatives and which admits a Lyapunov-type condition (ensuring the the existence of a unique solution to the SDE) depend in ...
Report
5. ### On the approximation of rough functions with deep neural networks ﻿

(2020)
SAM Research Report
Deep neural networks and the ENO procedure are both efficient frameworks for approximating rough functions. We prove that at any order, the ENO interpolation procedure can be cast as a deep ReLU neural network. This surprising fact enables the transfer of several desirable properties of the ENO procedure to deep neural networks, including its high-order accuracy at approximating Lipschitz functions. Numerical tests for the resulting neural ...
Report
6. ### Space–time discontinuous Galerkin approximation of acoustic waves with point singularities ﻿

(2020)
SAM Research Report
We develop a convergence theory of space--time discretizations for the linear, 2nd-order wave equation in polygonal domains Ω⊂ℝ2, possibly occupied by piecewise homogeneous media with different propagation speeds. Building on an unconditionally stable space--time DG formulation developed in~\cite{MoPe18}, we (a) prove optimal convergence rates for the space--time scheme with local isotropic corner mesh refinement on the spatial domain, ...
Report
7. ### Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems ﻿

(2020)
SAM Research Report
In this paper, we are concerned with the recovery of the geometric shapes of inhomogeneous inclusions from the associated far field data in electrostatics and acoustic scattering. We present a local resolution analysis and show that the local shape around a boundary point with a high magnitude of mean curvature can be reconstructed more easily and stably. In proving this, we develop a novel mathematical scheme by analyzing the generalized ...
Report
8. ### Mathematical modelling of plasmonic strain sensors ﻿

(2020)
SAM Research Report
We provide a mathematical analysis for a metasurface constructed of plasmonic nanoparticles mounted periodically on the surface of a microcapsule. We derive an effective transmission condition, which exhibits resonances depending on the inter-particle distance. When the microcapsule is deformed, the resonances are shifted. We fully characterise the dependence of these resonances on the deformation of the microcapsule, enabling the detection ...
Report
9. ### Quantum ergodicity and localization of plasmon resonances ﻿

(2020)
SAM Research Report
We are concerned with the geometric properties of the surface plasmon resonance (SPR). SPR is a non-radiative electromagnetic surface wave that propagates in a direction parallel to the negative permittivity/dielectric material interface. It is known that the SPR oscillation is topologically very sensitive to the material interface. However, we show that the SPR oscillation asympotically localizes at places with high magnitude of curvature ...
Report
10. ### Quotient-Space Boundary Element Methods for Scattering at Complex Screens ﻿

(2020)
SAM Research Report
A complex screen is an arrangement of panels that may not be even locally orientable because of junction lines. A comprehensive trace space framework for first-kind variational boundary integral equations on complex screens has been established in [ X. Claeys and R. Hiptmair, Integral equations on multi-screens, Integral Equations and Operator Theory, 77 (2013), pp. 167-197] for the Helmholtz equation, and in [ X. Claeys and R. Hiptmair, ...
Report
11. ### Deep ReLU Neural Network Expression Rates for Data-to-QoI Maps in Bayesian PDE Inversion ﻿

(2020)
SAM Research Report
For Bayesian inverse problems with input-to-response maps given by well-posed partial differential equations (PDEs) and subject to uncertain parametric or function space input, we establish (under rather weak conditions on the forward'', input-to-response maps) the parametric holomorphy of the data-to-QoI map relating observation data 𝛿� to the Bayesian estimate for an unknown quantity of interest (QoI). We prove exponential expression ...
Report
12. ### Robust edge modes in dislocated systems of subwavelength resonators ﻿

(2020)
SAM Research Report
Robustly manipulating waves on subwavelength scales can be achieved by, firstly, designing a structure with a subwavelength band gap and, secondly, introducing a defect so that localized modes fall within the band gap. We study a one-dimensional array of subwavelength resonators, prove that there is a subwavelength band gap, and show that by introducing a dislocation we can place localized modes at any point within the band gap. We ...
Report
13. ### Super-resolution in recovering embedded electromagnetic sources in high contrast media ﻿

(2020)
SAM Research Report
The purpose of this work is to provide a rigorous mathematical analysis of the expected super-resolution phenomenon in the time-reversal imaging of electromagnetic (EM) radiating sources embedded in a high contrast medium. It is known that the resolution limit is essentially determined by the sharpness of the imaginary part of the EM Green's tensor for the associated background. We first establish the close connection between the resolution ...
Report
14. ### Close-to-touching acoustic subwavelength resonators: eigenfrequency separation and gradient blow-up ﻿

(2020)
SAM Research Report
In this paper, we study the behaviour of the coupled subwavelength resonant modes when two high-contrast acoustic resonators are brought close together. We consider the case of spherical resonators and use bispherical coordinates to derive explicit representations for the capacitance coefficients which, we show, capture the system's resonant behaviour at leading order. We prove that the pair of resonators has two subwavelength resonant ...
Report
15. ### Treibhausgasemissionen aus Dienstreisen der ETH Zürich 2019 ﻿

(2020)
Die vorliegende Zusammenfassung zeigt die wichtigsten Ergebnisse der Berechnungen der Treibhausgas (THG)-Emissionen der Dienstreisen an der ETH Zürich. Erfasst sind, wie in den vorherigen Jahren, die Dienstreisen der Angestellten sowie die Flugreisen von Studierenden und Gästen, sofern deren Reisekosten von der ETH Zürich übernommen werden. Nicht erfasst sind Arbeitswege sowie Reisen Mitarbeitender, deren Kosten nicht durch die ETH Zürich ...
Report

(2020)
Report
17. ### Ethics guidelines in Citizen Science ﻿

(2020)
The aim of this report is to support the Competence Center Citizen Science Zurich (CCCS). Starting out from the point of research oversight in the Swiss context, it gives an overview of existing ethics guidelines in citizen science as promoted by the Citizen Science Association (CSA), the European Citizen Science Association (ECSA) and similar organizations. It highlights the relative lack of attention to ethical governance and processes ...
Report
18. ### Tools for Cooling Singapore ﻿

(2018)
The guide provides a description of 24 simulation tools able to assess the impact of different strategies in reducing Urban Heat Island (UHI) and improving Outdoor Thermal Comfort (OTC) in Singapore and similar local contexts. The tools are grouped into three categories: microscale tools, mesoscale tools, and supporting tools.
Report

(2020)
Report

(2020)
Report