Publications related to Countably 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

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

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

Distribution-on-distribution regression via optimal transport maps

Victor Panaretos, Laya Ghodrati

We present a framework for performing regression when both covariate and response are probability distributions on a compact interval. Our regression model is based on the theory of optimal transportation, and links the conditional Frechet mean of the resp ...

OXFORD UNIV PRESS2022

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

Experimental Evaluation of Steel Columns under Seismic Hazard-Consistent Collapse Loading Protocols

Dimitrios Lignos

This paper presents results from 21 large-scale experiments on steel columns that examined their collapse behavior as related to steel moment resisting frames (MRFs). The test specimens included wide-flange and square hollow structural shapes (HSS) and wer ...

ASCE-AMER SOC CIVIL ENGINEERS2021

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

Property FW, differentiable structures and smoothability of singular actions

Yash Lodha, Nicolas Matte Bon

We provide a smoothening criterion for group actions on manifolds by singular diffeomorphisms. We prove that if a countable group Gamma has the fixed point property FW for walls (for example, if it has property(T)), every aperiodic action of Gamma by diffe ...

WILEY2020

Countably 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

Localization errors of the stochastic heat equation

Maximizing friction by liquid flow clogging in confinement

Distribution-on-distribution regression via optimal transport maps

A combinatorial proof of a sumset conjecture of Furstenberg

Experimental Evaluation of Steel Columns under Seismic Hazard-Consistent Collapse Loading Protocols

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

Property FW, differentiable structures and smoothability of singular actions

On distributional autoregression and iterated transportation

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

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

A combinatorial proof of a sumset conjecture of Furstenberg

Distributional Regression and Autoregression via Optimal Transport

Localization errors of the stochastic heat equation

Maximizing friction by liquid flow clogging in confinement

Experimental Evaluation of Steel Columns under Seismic Hazard-Consistent Collapse Loading Protocols

Distribution-on-distribution regression via optimal transport maps

Property FW, differentiable structures and smoothability of singular actions