Tootfinder

Cohen-Macaulay modules of covariants for cyclic $p$-groups
Jonathan Elmer
https://arxiv.org/abs/2506.03677 https://arxiv.org/pdf/2506…

Cohen-Macaulay modules of covariants for cyclic $p$-groups
Let $G$ be a a finite group, $k$ a field of characteristic dividing $|G|$ and and $V,W$ $kG$-modules. Broer and Chuai showed that if $\mathrm{codim}(V^G) \leq 2$ then the module of covariants $k[V,W]^G = (k[V]\otimes W)^G$ is a Cohen-Macaulay module, hence free over a homogeneous system of parameters for the invariant ring $k[V]^G$. In the present article we prove a general result which allows us to determine whether a set of elements of a free $A$-module is a generating set, for any …

Novel black holes with scalar hair in the Einstein-Maxwell-Scalar Theory with positive coupling
Hong Guo, Wei-Liang Qian, Bean Wang
https://arxiv.org/abs/2506.02445

Novel black holes with scalar hair in the Einstein-Maxwell-Scalar Theory with positive coupling
In this work, we find a new branch of hairy black hole solutions in the Einstein-Maxwell-Scalar (EMS) theory in four-dimensional asymptotically flat spacetimes. Different from spontaneous scalarization induced by tachyonic instabilities in Reissner-Nordström (RN) black holes with a negative coupling parameter, these scalar-hairy black hole solutions arise when the coupling parameter is positive, where nonlinear coupling plays the dominant role, meaning that the coupling is positively correlate…

Greedy recursion parameter selection for the One-Way Navier-Stokes (OWNS) equations
Michael K. Sleeman, Tim Colonius
https://arxiv.org/abs/2506.02320 https…

Greedy recursion parameter selection for the One-Way Navier-Stokes (OWNS) equations
The One-Way Navier-Stokes (OWNS) equations use recursive filtering to construct efficient, well-posed one-way approximations to linear hyperbolic systems. The recursion parameters are critical to the accuracy and stability of the method, and have previously been chosen based on heuristic estimates of key eigenvalues (or their branches), which converges slowly and requires trial-and-error tuning for new systems. We review the projection and recursive OWNS formulations (OWNS-P and OWNS-R) for inh…

Robust design of bicycle infrastructure networks
https://www.nature.com/articles/s41598-025-99976-9

Robust design of bicycle infrastructure networks - Scientific Reports
Promoting active mobility like cycling relies on the availability of well-connected, high-quality bicycle networks. However, expanding these networks over an extended planning horizon presents one of the most complex challenges in transport science. This complexity arises from the intricate interactions between infrastructure availability and usage, such as network spillover effects and mode choice substitutions. In this paper, we approach the problem from two perspectives: direct optimization …

A Kernel-Based Approach for Accurate Steady-State Detection in Performance Time Series
Martin Beseda, Vittorio Cortellessa, Daniele Di Pompeo, Luca Traini, Michele Tucci
https://arxiv.org/abs/2506.04204

A Kernel-Based Approach for Accurate Steady-State Detection in Performance Time Series
This paper addresses the challenge of accurately detecting the transition from the warmup phase to the steady state in performance metric time series, which is a critical step for effective benchmarking. The goal is to introduce a method that avoids premature or delayed detection, which can lead to inaccurate or inefficient performance analysis. The proposed approach adapts techniques from the chemical reactors domain, detecting steady states online through the combination of kernel-based step …

RESOLVE: Rare Event Surrogate Likelihood for Gravitational Wave Paleontology Parameter Estimation
Ann-Kathrin Schuetz, Alexander Migala, Adam Boesky, Alan W. P. Poon, Floor S. Broekgaarden, Aobo Li
https://arxiv.org/abs/2506.00757

RESOLVE: Rare Event Surrogate Likelihood for Gravitational Wave Paleontology Parameter Estimation
The first detection of gravitational waves, recognized by the 2017 Nobel Prize in Physics, has opened up a new research field: gravitational-wave paleontology. When massive stars evolve into black holes and collide, they create gravitational waves that propagate through space and time. These gravitational-waves, now detectable on Earth, act as fossils tracing the histories of the massive stars that created them. Estimating physics parameters of these massive stars from detected gravitational-wa…

SmolVLA: A Vision-Language-Action Model for Affordable and Efficient Robotics
Mustafa Shukor, Dana Aubakirova, Francesco Capuano, Pepijn Kooijmans, Steven Palma, Adil Zouitine, Michel Aractingi, Caroline Pascal, Martino Russi, Andres Marafioti, Simon Alibert, Matthieu Cord, Thomas Wolf, Remi Cadene
https://arxiv.org/abs/2506.018…

SmolVLA: A Vision-Language-Action Model for Affordable and Efficient Robotics
Vision-language models (VLMs) pretrained on large-scale multimodal datasets encode rich visual and linguistic knowledge, making them a strong foundation for robotics. Rather than training robotic policies from scratch, recent approaches adapt VLMs into vision-language-action (VLA) models that enable natural language-driven perception and control. However, existing VLAs are typically massive--often with billions of parameters--leading to high training costs and limited real-world deployability. …

Sampling Bayesian probabilities given only sampled priors
Gary Bernstein, William Assignies Doumerg, Michael A. Troxel, Alex Alarcon, Alexandra Amon, Giulia Giannini, Boyan Yin, Sahar Allam, Felipe Andrade-Oliveira, David Brooks, Aurelio Carnero Rosell, Jorge Carretero, Luiz da Costa, Maria Elidaiana da Silva Pereira, Juan De Vicente, Spencer Everett, Josh Frieman, Juan Garcia-Bellido, Daniel Gruen, Samuel Hinton, Devon L. Hollowood, Klaus Honscheid, David James, Sujeong Lee, Jennifer …

Sampling Bayesian probabilities given only sampled priors
A typical Bayesian inference on the values of some parameters of interest $q$ from some data $D$ involves running a Markov Chain (MC) to sample from the posterior $p(q,n | D) \propto \mathcal{L}(D | q,n) p(q) p(n),$ where $n$ are some nuisance parameters. In many cases, the nuisance parameters are high-dimensional, and their prior $p(n)$ is itself defined only by a set of samples that have been drawn from some other MC. Two problems arise: first, the MC for the posterior will typicall…

Quantum multicriticality and emergent symmetry in Dirac systems with two order parameters at three-loop order
Max Uetrecht, Igor F. Herbut, Michael M. Scherer, Emmanuel Stamou, Tom Steudtner
https://arxiv.org/abs/2505.22723

Quantum multicriticality and emergent symmetry in Dirac systems with two order parameters at three-loop order
Two-dimensional materials with interacting Dirac excitations can host quantum multicritical behavior near the phase boundaries of the semimetallic and two-ordered phases. We study such behavior in Gross--Neveu--Yukawa field theories where $N_f$ flavors of Dirac fermions are coupled to two order-parameter fields with $SO(N_A)$ and $SO(N_B)$ symmetry, respectively. To that end, we employ the perturbative renormalization group up to three-loop order in $4-ε$ spacetime dimensions. We distinguish t…

Promoting walking and cycling: a toolkit of policy options
https://www.who.int/publications/i/item/9789240109902

Promoting walking and cycling: a toolkit of policy options
This toolkit offers policy options to promote safe walking and cycling, highlighting their benefits for individuals, communities, the environment, and the economy. It includes seven strategic policies and real-world case studies demonstrating successful implementations.