Publications related to On long time behavior of solutions to nonlinear dispersive equations

Transportation-based functional ANOVA and PCA for covariance operators

Victor Panaretos, Yoav Zemel, Valentina Masarotto

We consider the problem of comparing several samples of stochastic processes with respect to their second-order structure, and describing the main modes of variation in this second order structure, if present. These tasks can be seen as an Analysis of Vari ...

Inst Mathematical Statistics-Ims2024

Energy Bounds For A Fourth-Order Equation In Low Dimensions Related To Wave Maps

Tobias Johannes Schmid

For compact, isometrically embedded Riemannian manifolds N -> R-L, we introduce a fourth-order version of the wave maps equation. By energy estimates, we prove an a priori estimate for smooth local solutions in the energy subcritical dimension n = 1, 2. Th ...

AMER MATHEMATICAL SOC2022

A note on universal inference

Anthony Christopher Davison, Timmy Rong Tian Tse

Universal inference enables the construction of confidence intervals and tests without regularity conditions by splitting the data into two parts and appealing to Markov's inequality. Previous investigations have shown that the cost of this generality is a ...

WILEY2022

Testing general relativity on cosmological scales at redshift z similar to 1.5 with quasar and CMB lensing

Cheng Zhao

We test general relativity (GR) at the effective redshift (z) over tilde similar to 1.5 by estimating the statistic E-G, a probe of gravity, on cosmological scales 19 - 190 h(-1)Mpc. This is the highest redshift and largest scale estimation of E-G so far. ...

OXFORD UNIV PRESS2021

Analysis and Remediation of Handwriting difficulties

Thibault Lucien Christian Asselborn

Even with correct training, up to 25% of children never master handwriting like their peers. While research shows a correlation between handwriting difficulties and school failure, these difficulties can also impact children in their self esteem and behavi ...

EPFL2020

Statistical Applications of Random Matrix Theory: Comparison of Two Populations

Rémy Mariétan

During the last twenty years, Random matrix theory (RMT) has produced numerous results that allow a better understanding of large random matrices. These advances have enabled interesting applications in the domain of communication. Although this theory can ...

EPFL2019

On null hypotheses in survival analysis

Mats Julius Stensrud, Pal Christie Ryalen

The conventional nonparametric tests in survival analysis, such as the log-rank test, assess the null hypothesis that the hazards are equal at all times. However, hazards are hard to interpret causally, and other null hypotheses are more relevant in many s ...

2019

Type II solutions Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on $\R^{3+1}$

Joachim Krieger, Stefano Francesco Burzio

We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation [ \Box u = -u^5 ] on

\R^{3+1}

constructed in \cite{KST}, \cite{KS1} are stable along a co-dimension one Lipschitz manifold of data perturbations in a ...

2018

Exploring Data Partitions for What-if Analysis

Quoc Viet Hung Nguyen, Thành Tâm Nguyên

What-if analysis is a data-intensive exploration to inspect how changes in a set of input parameters of a model influence some outcomes. It is motivated by a user trying to understand the sensitivity of a model to a certain parameter in order to reach a se ...

2018

On sums of eigenvalues of elliptic operators on manifolds

Joachim Stubbe

We use the averaged variational principle introduced in a recent article on graph spectra [10] to obtain upper bounds for sums of eigenvalues of several partial differential operators of interest in geometric analysis, which are analogues of Kroger's bound ...

European Mathematical Soc2017

On long time behavior of solutions to nonlinear dispersive equations

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Transportation-based functional ANOVA and PCA for covariance operators

Energy Bounds For A Fourth-Order Equation In Low Dimensions Related To Wave Maps

A note on universal inference

Testing general relativity on cosmological scales at redshift z similar to 1.5 with quasar and CMB lensing

Analysis and Remediation of Handwriting difficulties

Statistical Applications of Random Matrix Theory: Comparison of Two Populations

On null hypotheses in survival analysis

Type II solutions Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on $\R^{3+1}$

Exploring Data Partitions for What-if Analysis

On sums of eigenvalues of elliptic operators on manifolds

Transportation-based functional ANOVA and PCA for covariance operators

A note on universal inference

Testing general relativity on cosmological scales at redshift z similar to 1.5 with quasar and CMB lensing

On null hypotheses in survival analysis

Type II solutions Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on $\R^{3+1}$

Exploring Data Partitions for What-if Analysis

Energy Bounds For A Fourth-Order Equation In Low Dimensions Related To Wave Maps

Analysis and Remediation of Handwriting difficulties

Statistical Applications of Random Matrix Theory: Comparison of Two Populations

On sums of eigenvalues of elliptic operators on manifolds