Tootfinder

Partial independent transversals in multipartite graphs
Penny Haxell, Arpit Mittal, Yi Zhao
https://arxiv.org/abs/2506.09515 https://…

Partial independent transversals in multipartite graphs
Given integers $r>d\ge 0$ and an $r$-partite graph, an independent $(r-d)$-transversal or $(r-d)$-IT is an independent set of size $r-d$ that intersects each part in at most one vertex. We show that every $r$-partite graph with maximum degree $Δ$ and parts of size $n$ contains an $(r-d)$-IT if $n> 2Δ(1-\frac{1}{q})$, provided $q= \lfloor \frac{r}{d+1}\rfloor\ge \frac{4r}{4d+5}$. This is tight when $q$ is even and extends a classical result of Haxell in the $d=0$ case. When $q= \lfloor \frac{r…

Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data
Xiong-Hui Cao, Feng-Kun Guo, Zhi-Hui Guo, Qu-Zhi Li
https://arxiv.org/abs/2506.10619

Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data
A comprehensive analysis of $πK\rightarrow πK$ and $ππ\rightarrow K\bar K$ amplitudes at large unphysical pion mass for all important partial waves is presented. A set of crossing-symmetric partial-wave hyperbolic dispersion relations is used to describe lattice QCD data at $m_π=391~$MeV. In the present analysis, the amplitudes for the $S$- and $P$-waves are formulated by combining the constraints of analyticity, unitarity, and crossing symmetry, fulfilling Roy-Steiner-type equations. We u…

This https://arxiv.org/abs/2505.03144 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Soliton resolution, asymptotic stability and Painlevé transcendents in the combined Wadati-Konno-Ichikawa and short-pulse equation
In this paper, we develop a Riemann-Hilbert (RH) approach to the Cauchy problem for the combined Wadati-Konno-Ichikawa and short-pulse (WKI-SP) equation. The solution of the Cauchy problem is first expressed in terms of the solution of a RH problem with direct scattering transform based on the Lax pair. Further through a series of deformations to the RH problem by using the $\bar{\partial}$-generalization of Deift-Zhou steepest descent method, we obtain the long-time asymptotic approximations t…

This https://arxiv.org/abs/2503.09714 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Full-Shape analysis of the power spectrum and bispectrum of DESI DR1 LRG and QSO samples
We present the first joint analysis of the power spectrum and bispectrum using the Data Release 1 (DR1) of the Dark Energy Spectroscopic Instrument (DESI), focusing on Luminous Red Galaxies (LRGs) and quasars (QSOs) across a redshift range of $0.4\leq z\leq2.1$. By combining the two- and three-point statistics, we are able to partially break the degeneracy between the logarithmic growth rate, $f(z)$, and the amplitude of dark matter fluctuations, $σ_\textrm{s8}(z)$, which cannot be measured se…

This https://arxiv.org/abs/2505.22853 has been replaced.
initial toot: https://mastoxiv.page/@ar…

A unified quaternion-complex framework for incompressible Navier-Stokes equations: new insights and implications
We present a novel, unified quaternion-complex framework for formulating the incompressible Navier-Stokes equations that reveals the geometric structure underlying viscous fluid motion and resolves the Clay Institute's Millennium Prize problem. By introducing complex coordinates $z = x + iy$ and expressing the velocity field as $F = u + iv$, we demonstrate that the nonlinear convection terms decompose as $(u \cdot \nabla)F = F \cdot \frac{\partial F}{\partial z} + F^* \cdot \frac{\partial F}{\p…

This https://arxiv.org/abs/2505.16093 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiple chordal SLE($κ$) and quantum Calogero-Moser system
We study multiple chordal SLE$(κ)$ systems in a simply connected domain $Ω$, where $z_1, \ldots, z_n \in \partial Ω$ are boundary starting points and $q \in \partial Ω$ is an additional marked boundary point. As a consequence of the domain Markov property and conformal invariance, we show that the presence of the marked boundary point $q$ gives rise to a natural equivalence relation on partition functions. While these functions are not necessarily conformally covariant, each equivalence c…

Spin-split superconductivity in spin-orbit coupled hybrid nanowires with ferromagnetic barriers
J. Zhao, A. Mazanik, D. Razmadze, Y. Liu, P. Krogstrup, F. S. Bergeret, S. Vaitiek\.enas
https://arxiv.org/abs/2506.08247

Spin-split superconductivity in spin-orbit coupled hybrid nanowires with ferromagnetic barriers
We report transport studies of hybrid Josephson junctions based on semiconducting InAs nanowires with fully overlapping epitaxial ferromagnetic insulator EuS and superconducting Al partial shells. Current-biased measurements reveal a hysteretic superconducting window with a sizable supercurrent near the coercive field of the ferromagnetic insulator, accompanied by multiple Andreev reflections. Tunneling spectroscopy shows a superconducting gap characterized by three peaks, which we attribute to…

Physics-Informed Neural Networks for Irregular Domain Mapping and Partial Differential Equations solving
Cuizhi Zhou, Kaien Zhu
https://arxiv.org/abs/2506.08622

Physics-Informed Neural Networks for Irregular Domain Mapping and Partial Differential Equations solving
The solution of partial differential equations (PDES) on irregular domains has long been a subject of significant research interest. In this work, we present an approach utilizing physics-informed neural networks (PINNs) to achieve irregular-to-regular domain mapping. Thus we can use finite difference method and physics-informed convolutional neural networks to solve PDEs on rectangular grids instead of the original irregular boundary. Structured grids on irregular domains are obtained by inv…

Individual Treatment Effect: Prediction Intervals and Sharp Bounds
Zhehao Zhang, Thomas S. Richardson
https://arxiv.org/abs/2506.07469 https://

Individual Treatment Effect: Prediction Intervals and Sharp Bounds
Individual treatment effect (ITE) is often regarded as the ideal target of inference in causal analyses and has been the focus of several recent studies. In this paper, we describe the intrinsic limits regarding what can be learned concerning ITEs given data from large randomized experiments. We consider when a valid prediction interval for the ITE is informative and when it can be bounded away from zero. The joint distribution over potential outcomes is only partially identified from a randomi…

In #Selsingen entsteht Norddeutschlands erstes #Bürogebäude mit 3D-Druck-Mauerwerk.
In nur 105 Stunden druckte ein #Portaldrucker die Außenwände. Zwei Fachkräfte steuern den …

Häuser aus dem Drucker: Wie die 3D-Technik die Bauwirtschaft umkrempeln könnte
In nur 105 Stunden entsteht mithilfe eines 3D-Druckers das komplette Mauerwerk eines zweigeschossigen Bürogebäudes. In Norddeutschland ist es das erste Bauprojekt dieser Art.