Tootfinder

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

An eco-friendly universal strategy via ribavirin to achieve highly efficient and stable perovskite solar cells
Xianhu Wu, Gaojie Xia, Guanglei Cui, Jieyu Bi, Nian Liu, Jiaxin Jiang, Jilong Sun, Luyang Liu, Ping Li, Ning Lu, Zewen Zuo, Min Gu
https://arxiv.org/abs/2507.10557

An eco-friendly universal strategy via ribavirin to achieve highly efficient and stable perovskite solar cells
The grain boundaries of perovskite films prepared by the solution method are highly disordered, with a large number of defects existing at the grain boundaries. These defect sites promote the decomposition of perovskite. Here, we use ribavirin obtained through bacillus subtilis fermentation to regulate the crystal growth of perovskite, inducing changes in the work function and energy level structure of perovskite, which significantly reduces the defect density. Based on density functional theor…

Global attractor of chemotaxis system with weak degradation and density-dependent motion
Lin Guo, Dan Li
https://arxiv.org/abs/2507.07554 https://

Global attractor of chemotaxis system with weak degradation and density-dependent motion
This paper investigates the following chemotaxis system featuring weak degradation and nonlinear motility functions \begin{equation}\label{Model1} \begin{cases} u_{t} = (γ(v)u)_{xx} + r - μu, & x \in [0,L],\ t > 0, v_{t} = v_{xx} - v + u, & x \in [0,L],\ t > 0, \end{cases} \end{equation} defined on the bounded interval $[0,L]$ with homogeneous Neumann boundary conditions. The motility function $γ(v)$ satisfies the regularity conditions $γ\in C^{2}[0,\infty)$ with $γ(v) > 0$ for…

Falling stars: a fall-decorated rational shuffle theorem
Alessandro Iraci, Roberto Pagaria, Giovanni Paolini
https://arxiv.org/abs/2508.20935 https://arxiv…

Falling stars: a fall-decorated rational shuffle theorem
In this paper, we formulate a rational analog of the fall Delta theorem and the Delta square conjecture. We find a new dinv statistic on fall-decorated paths on a $(m+k) \times (n+k)$ rectangle that simultaneously extends the previously known dinv statistics on decorated square objects and non-decorated rectangular objects. We prove a symmetric function formula for the $q,t$-generating function of fall-decorated rectangular Dyck paths as a skewing operator applied to $e_{m,n+km}$ and, condi…

Janus-faced influence of oxygen vacancy in high entropy oxide films with Mott electrons
Suresh Chandra Joshi, Nandana Bhattacharya, Manav Beniwal, Jyotirmay Maity, Prithwijit Mandal, Hua Zhou, Christoph Klewe, Srimanta Middey
https://arxiv.org/abs/2507.05879

Janus-faced influence of oxygen vacancy in high entropy oxide films with Mott electrons
Contrary to traditional approaches, high entropy oxides (HEOs) strategically employ cationic disorder to engineer tunable functionalities. This disorder, stemming from multiple elements at the same crystallographic site, disrupts local symmetry and induces local distortions. By examining a series of single-crystalline [La$_{0.2}$Pr$_{0.2}$Nd$_{0.2}$Sm$_{0.2}$Eu$_{0.2}$]NiO$_{3-δ}$ thin films, we demonstrate herein that the creation of oxygen vacancies (OVs) further offers a powerful means of t…

Characterizing Small Circuit Classes from FAC^0 to FAC^1 via Discrete Ordinary Differential Equations
Melissa Antonelli, Arnaud Durand, Juha Kontinen
https://arxiv.org/abs/2506.23404

Characterizing Small Circuit Classes from FAC^0 to FAC^1 via Discrete Ordinary Differential Equations
In this paper, we provide a uniform framework for investigating small circuit classes and bounds through the lens of ordinary differential equations (ODEs). Following an approach recently introduced to capture the class of polynomial-time computable functions via ODE-based recursion schemas and later applied to the context of functions computed by unbounded fan-in circuits of constant depth (FAC^0), we study multiple relevant small circuit classes. In particular, we show that natural restrictio…

1/ f noise and two-level systems in MBE-grown Al thin films
Shouray Kumar Sahu, Yen-Hsun Glen Lin, Kuan-Hui Lai, Chao-Kai Cheng, Chun-Wei Wu, Elica Anne Heredia, Ray-Tai Wang, Yen-Hsiang Lin, Juainai Kwo, Minghwei Hong, Juhn-Jong Lin, Sheng-Shiuan Yeh
https://arxiv.org/abs/2507.01850

1/ f noise and two-level systems in MBE-grown Al thin films
Aluminum thin films are essential to the functionalities of electronic and quantum devices, where two-level systems (TLS) can degrade device performance. MBE-grown Al films may appeal to these applications due to their low TLS densities. We studied the energy distributions of TLS densities, g(E), in 10-nm-thick MBE-grown and electron-beam evaporated Al films through 1/f noise measurements between 80 and 360 K. At 300 K, the noise magnitudes in MBE-grown films are about three times lower than in…

Morse sequences on stacks and flooding sequences
Gilles Bertrand
https://arxiv.org/abs/2509.01384 https://arxiv.org/pdf/2509.01384

Morse sequences on stacks and flooding sequences
This paper builds upon the framework of \emph{Morse sequences}, a simple and effective approach to discrete Morse theory. A Morse sequence on a simplicial complex consists of a sequence of nested subcomplexes generated by expansions and fillings-two operations originally introduced by Whitehead. Expansions preserve homotopy, while fillings introduce critical simplexes that capture essential topological features. We extend the notion of Morse sequences to \emph{stacks}, which are monotonic funct…

Dynamical crossover between stretched- and compressed-exponential relaxation in a photoexcited crystal
Tyler Carbin, Joel Herman, Xinshu Zhang, Adrian B. Culver, Yu Zhang, Hengdi Zhao, Rahul Roy, Gang Cao, Anshul Kogar
https://arxiv.org/abs/2509.04814

Dynamical crossover between stretched- and compressed-exponential relaxation in a photoexcited crystal
Anomalous relaxation is one of the hallmarks of disordered systems. Following perturbation by an external source, many glassy, jammed and amorphous systems relax as a stretched or compressed exponential as a function of time. However, despite their ubiquity, the origins of and the connection between these phenomenological relaxation functions remains to be understood. Here, we observe a tunable crossover from stretched- to compressed-exponential relaxation by photoexciting single crystal Ca3Ru2…

Scalable Etch-Free Transfer of Low-Dimensional Materials from Metal Films to Diverse Substrates
Kentaro Yumigeta (Department of Materials Science & Engineering, University of Arizona, Tucson, Arizona, USA), Muhammed Yusufoglu (Department of Materials Science & Engineering, University of Arizona, Tucson, Arizona, USA), Mamun Sarker (Department of Chemistry, University of Nebraska-Lincoln, Lincoln, Nebraska, USA), Rishi Raj (Department of Chemical Engineering and Materials Scienc…

Scalable Etch-Free Transfer of Low-Dimensional Materials from Metal Films to Diverse Substrates
Low-dimensional materials hold great promises for exploring emergent physical phenomena, nanoelectronics, and quantum technologies. Their synthesis often depends on catalytic metal films, from which the synthesized materials must be transferred to insulating substrates to enable device functionality and minimize interfacial interactions during quantum investigations. Conventional transfer methods, such as chemical etching or electrochemical delamination, degrade material quality, limit scalabil…