Tootfinder

This https://arxiv.org/abs/2212.02424 has been replaced.
link: https://scholar.google.com/scholar?q=a

Multiparameter Discrete Morse Theory
The main objective of this paper is to extend Morse-Forman theory to vector-valued functions. This is mostly motivated by the need to develop new tools and methods to compute multiparameter persistence. To generalize the theory, in addition to adapting the main definitions and results of Forman to this vectorial setting, we use concepts of combinatorial topological dynamics studied in recent years. This approach proves to be successful in the following ways. First, we establish a result which i…

This https://arxiv.org/abs/2403.16868 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Electron localization in disordered quantum systems at finite temperatures
We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore, we assess the efficacy of mean-field approximation in providing a quantitative analysis of such systems. Through this study, we seek to provide insight into the following aspects: the behavior of electron localization as a function of interaction, disorder, …

If you set limits for a scale (e.g. x-axis) in ggplot, how would you like data outside of that range be handled? There is the oob parameter for that and a set of functions to use with it: https://scales.r-lib.org/reference/oob.html

I've never been to #Europapark on regular opening days, but I think it already looks very chic at #CloudFest!

Adjusting for bias due to measurement error in functional quantile regression models with error-prone functional and scalar covariates
Xiwei Chen, Yuanyuan Luan, Roger S. Zoh, Lan Xue, Sneha Jadhav, Carmen D. Tekwe
https://arxiv.org/abs/2404.10063

Adjusting for bias due to measurement error in functional quantile regression models with error-prone functional and scalar covariates
Wearable devices enable the continuous monitoring of physical activity (PA) but generate complex functional data with poorly characterized errors. Most work on functional data views the data as smooth, latent curves obtained at discrete time intervals with some random noise with mean zero and constant variance. Viewing this noise as homoscedastic and independent ignores potential serial correlations. Our preliminary studies indicate that failing to account for these serial correlations can bias…

Functional renormalization group for $p=2$ like glassy matrices in the planar approximation: II. Ward identities method in the deep IR
Vincent Lahoche, Dine Ousmane Samary
https://arxiv.org/abs/2403.12217

Functional renormalization group for $p=2$ like glassy matrices in the planar approximation: II. Ward identities method in the deep IR
This paper, as a continuation of our previous investigation [arXiv:2403.07577] aims to study the glassy random matrices with quenched Wigner disorder. In this previous work, we have constructed a renormalization group based on the effective deterministic kinetic spectrum emerging from large $N$ limit, and we extended approximate solutions using standard vertex expansion, at the leading order of the derivative expansion. Now in the following work, by introducing the non-trivial Ward identities w…

Multimodal operando microscopy reveals that interfacial chemistry and nanoscale performance disorder dictate perovskite solar cell stability
Kyle Frohna, Cullen Chosy, Amran Al-Ashouri, Florian Scheler, Yu-Hsien Chiang, Milos Dubajic, Julia E. Parker, Jessica M. Walker, Lea Zimmermann, Thomas A. Selby, Yang Lu, Bart Roose, Steve Albrecht, Miguel Anaya, Samuel D. Stranks

Multimodal operando microscopy reveals that interfacial chemistry and nanoscale performance disorder dictate perovskite solar cell stability
Next-generation low-cost semiconductors such as halide perovskites exhibit optoelectronic properties dominated by nanoscale variations in their structure, composition and photophysics. While microscopy provides a proxy for ultimate device function, past works have focused on neat thin-films on insulating substrates, missing crucial information about charge extraction losses and recombination losses introduced by transport layers. Here we use a multimodal operando microscopy toolkit to measure n…

Electron localization in disordered quantum systems at finite temperatures
Chong Sun
https://arxiv.org/abs/2403.16868 https://arxiv.o…

Electron localization in disordered quantum systems at finite temperatures
We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore, we assess the efficacy of mean-field approximation in providing a quantitative analysis of such systems. Through this study, we seek to provide insight into the following aspects: the behavior of electron localization as a function of interaction, disorder, …

Schauder frames of discrete translates in $L^p(\mathbb{R})$
Nir Lev, Anton Tselishchev
https://arxiv.org/abs/2402.09915 https://arxiv…

Schauder frames of discrete translates in $L^p(\mathbb{R})$
We prove for every $p > (1 + \sqrt{5})/2$ the following result, obtained earlier for $p \ge 2$. There exist a uniformly discrete real sequence $\{λ_n\}_{n=1}^\infty$ with $|λ_{n+1}| > |λ_n|$, a function $g \in L^p(\mathbb{R})$, and continuous linear functionals $\{g^*_n\}$ on $L^p(\mathbb{R})$, such that every $f \in L^p(\mathbb{R})$ admits a series expansion \[ f(x) = \sum_{n=1}^{\infty} g_n^*(f) g(x-λ_n) \] convergent in the $L^p(\mathbb{R})$ norm.

Schauder frames of discrete translates in $L^p(\mathbb{R})$
Nir Lev, Anton Tselishchev
https://arxiv.org/abs/2402.09915 https://arxiv…

Schauder frames of discrete translates in $L^p(\mathbb{R})$
We prove for every $p > (1 + \sqrt{5})/2$ the following result, obtained earlier for $p \ge 2$. There exist a uniformly discrete real sequence $\{λ_n\}_{n=1}^\infty$ with $|λ_{n+1}| > |λ_n|$, a function $g \in L^p(\mathbb{R})$, and continuous linear functionals $\{g^*_n\}$ on $L^p(\mathbb{R})$, such that every $f \in L^p(\mathbb{R})$ admits a series expansion \[ f(x) = \sum_{n=1}^{\infty} g_n^*(f) g(x-λ_n) \] convergent in the $L^p(\mathbb{R})$ norm.