Publications related to Compact space

On distributional autoregression and iterated transportation

We consider the problem of defining and fitting models of autoregressive time series of probability distributions on a compact interval of Double-struck capital R. An order-1 autoregressive model in this context is to be understood as a Markov chain, where ...

Hoboken2024

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

Distributional Regression and Autoregression via Optimal Transport

Laya Ghodrati

We present a framework for performing regression when both covariate and response are probability distributions on a compact and convex subset of

\R^d

. Our regression model is based on the theory of optimal transport and links the conditional Fr'echet m ...

EPFL2023

Improving the use of the housing stock to reduce its environmental impact

Philippe Thalmann

In the future, the existing housing stock should be improved while less new dwellings are built. This improvement will take the form of energy-efficient renovation as well as by encouraging cohabitation and reducing the amount of living space occupied per ...

Swiss National Science Foundation2023

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

Optimal containment control for a class of heterogeneous multi-agent systems with actuator faults

Ju Wu, Tong Wang

This article investigates the optimal containment control problem for a class of heterogeneous multi-agent systems with time-varying actuator faults and unmatched disturbances based on adaptive dynamic programming. Since there exist unknown input signals i ...

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

Geometric Percolation of Spherically Symmetric Fractal Aggregates

Claudio Grimaldi

The connectedness percolation threshold (phi(c)) for spherically symmetric, randomly distributed fractal aggregates is investigated as a function of the fractal dimension (d(F)) of the aggregates through a mean-field approach. A pair of aggregates (each of ...

SPRINGER2022

Collapse-invariant properties of spaces equipped with signals or directions

Stefania Ebli

Collapsing cell complexes was first introduced in the 1930's as a way to deform a space into a topological-equivalent subspace with a sequence of elementary moves. Recently, discrete Morse theory techniques provided an efficient way to construct deformatio ...

EPFL2022

Compact space

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On distributional autoregression and iterated transportation

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

Distributional Regression and Autoregression via Optimal Transport

Improving the use of the housing stock to reduce its environmental impact

A type I conjecture and boundary representations of hyperbolic groups

Optimal containment control for a class of heterogeneous multi-agent systems with actuator faults

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

Localization errors of the stochastic heat equation

Geometric Percolation of Spherically Symmetric Fractal Aggregates

Collapse-invariant properties of spaces equipped with signals or directions

Optimal containment control for a class of heterogeneous multi-agent systems with actuator faults

Distributional Regression and Autoregression via Optimal Transport

On distributional autoregression and iterated transportation

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

Geometric Percolation of Spherically Symmetric Fractal Aggregates

Improving the use of the housing stock to reduce its environmental impact

Localization errors of the stochastic heat equation

Collapse-invariant properties of spaces equipped with signals or directions