Tootfinder

Square patterns in dynamical orbits
Vefa Goksel, Giacomo Micheli
https://arxiv.org/abs/2403.19642 https://arxiv.org/pdf/2403.19642

Square patterns in dynamical orbits
Let $q$ be an odd prime power. Let $f\in \mathbb{F}_q[x]$ be a polynomial having degree at least $2$, $a\in \mathbb{F}_q$, and denote by $f^n$ the $n$-th iteration of $f$. Let $χ$ be the quadratic character of $\mathbb{F}_q$, and $\mathcal{O}_f(a)$ the forward orbit of $a$ under iteration by $f$. Suppose that the sequence $(χ(f^n(a)))_{n\geq 1}$ is periodic, and $m$ is its period. Assuming a mild and generic condition on $f$, we show that, up to a constant, $m$ can be bounded from below by $&…

Quantum concentration inequalities and equivalence of the thermodynamical ensembles: an optimal mass transport approach
Giacomo De Palma, Davide Pastorello
https://arxiv.org/abs/2403.18617

Quantum concentration inequalities and equivalence of the thermodynamical ensembles: an optimal mass transport approach
We prove new concentration inequalities for quantum spin systems which apply to any local observable measured on any product state or on any state with exponentially decaying correlations. Our results do not require the spins to be arranged in a regular lattice, and cover the case of observables that contain terms acting on spins at arbitrary distance. Moreover, we introduce a local W1 distance, which quantifies the distinguishability of two states with respect to local observables. We prove a …

New bounds on heavy axions with an X-ray free electron laser
Jack W. D. Halliday, Giacomo Marocco, Konstantin A. Beyer, Charles Heaton, Motoaki Nakatsutsumi, Thomas R. Preston, Charles D. Arrowsmith, Carsten Baehtz, Sebastian Goede, Oliver Humphries, Alejandro Laso Garcia, Richard Plackett, Pontus Svensson, Georgios Vacalis, Justin Wark, Daniel Wood, Ulf Zastrau, Robert Bingham, Ian Shipsey, Subir Sarkar, Gianluca Gregori

New bounds on heavy axions with an X-ray free electron laser
We present new exclusion bounds obtained at the European X-ray Free Electron Laser facility (EuXFEL) on axion-like particles (ALPs) in the mass range $10^{-3}\;\rm{eV} \lesssim m_a \lesssim 10^{4}\;\rm{eV}$, which is relatively unconstrained by laboratory searches. Our experiment exploits the Primakoff effect via which photons can, in the presence of a strong external electric field, decay into axions, which then convert back into photons after passing through an opaque wall. While similar sear…

A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets
Gian Paolo Leonardi, Giacomo Vianello
https://arXiv.org/abs/2401.14725

A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets
Given a convex domain $Ω\subset \mathbb{R}^{3}$ and an almost-minimizer $E$ of the relative perimeter in $Ω$, we prove that the closure of $\partial E \cap Ω$ does not contain vertices of $Ω$.

A deep neural network physics-based reduced order model for dynamic stall
Giacomo Baldan, Alberto Guardone
https://arXiv.org/abs/2401.14728 https://…

A deep neural network physics-based reduced order model for dynamic stall
Dynamic stall is a challenging fluid dynamics phenomenon occurring during rapid transient motion of airfoils where the angle of attack exceeds the static stall angle. Understanding dynamic stall is essential for designing efficient aerodynamic systems in applications such as helicopters, wind turbines, and specific aircraft maneuvers. The highly non-linear unsteady aerodynamic phenomena involved in dynamic stall are challenging to be included in a reduced order model. In this work, a physics-ba…

Magnetization fluctuations and magnetic aftereffect probed via the anomalous Hall effect
Nadine Nabben, Giacomo Sala, Ulrich Nowak, Matthias Kr\"uger, Sebastian T. B. Goennenwein
https://arxiv.org/abs/2402.18436

Magnetization fluctuations and magnetic aftereffect probed via the anomalous Hall effect
Taking advantage of the anomalous Hall effect, we electrically probe low-frequency magnetization fluctuations at room temperature in a thin ferromagnetic Pt/Co/AlO$_x$ layer stack with perpendicular magnetic anisotropy. We observe a strong enhancement of the Hall voltage fluctuations within the hysteretic region of the magnetization loop. Analyzing both the temporal evolution of the anomalous Hall voltage and its frequency-dependent noise power density, we identify two types of magnetic noise: …

New bounds on heavy axions with an X-ray free electron laser
Jack W. D. Halliday, Giacomo Marocco, Konstantin A. Beyer, Charles Heaton, Motoaki Nakatsutsumi, Thomas R. Preston, Charles D. Arrowsmith, Carsten Baehtz, Sebastian Goede, Oliver Humphries, Alejandro Laso Garcia, Richard Plackett, Pontus Svensson, Georgios Vacalis, Justin Wark, Daniel Wood, Ulf Zastrau, Robert Bingham, Ian Shipsey, Subir Sarkar, Gianluca Gregori

New bounds on heavy axions with an X-ray free electron laser
We present new exclusion bounds obtained at the European X-ray Free Electron Laser facility (EuXFEL) on axion-like particles (ALPs) in the mass range $10^{-3}\;\rm{eV} \lesssim m_a \lesssim 10^{4}\;\rm{eV}$, which is relatively unconstrained by laboratory searches. Our experiment exploits the Primakoff effect via which photons can, in the presence of a strong external electric field, decay into axions, which then convert back into photons after passing through an opaque wall. While similar sear…

The Trembling-Hand Problem for LTLf Planning
Pian Yu, Shufang Zhu, Giuseppe De Giacomo, Marta Kwiatkowska, Moshe Vardi
https://arxiv.org/abs/2404.16163 htt…

The Trembling-Hand Problem for LTLf Planning
Consider an agent acting to achieve its temporal goal, but with a "trembling hand". In this case, the agent may mistakenly instruct, with a certain (typically small) probability, actions that are not intended due to faults or imprecision in its action selection mechanism, thereby leading to possible goal failure. We study the trembling-hand problem in the context of reasoning about actions and planning for temporally extended goals expressed in Linear Temporal Logic on finite traces (LTLf), whe…

Dynamical origin of neutrino masses and dark matter from a new confining sector
Maximilian Berbig, Juan Herrero Garcia, Giacomo Landini
https://arxiv.org/abs/2403.17488

Dynamical origin of neutrino masses and dark matter from a new confining sector
A dynamical mechanism, based on a confining non-abelian dark symmetry, which generates Majorana masses for hypercharge-less fermions, is proposed. We apply it to the inverse seesaw scenario, which allows to generate light neutrino masses from the interplay of TeV-scale Pseudo-Dirac mass terms and a small explicit breaking of lepton number. A single generation of vector-like dark quarks, transforming under a $\text{SU}(3)_\text{D}$ gauge symmetry, is coupled to a real singlet scalar, which serve…

Dynamical origin of neutrino masses and dark matter from a new confining sector
Maximilian Berbig, Juan Herrero Garcia, Giacomo Landini
https://arxiv.org/abs/2403.17488

Dynamical origin of neutrino masses and dark matter from a new confining sector
A dynamical mechanism, based on a confining non-abelian dark symmetry, which generates Majorana masses for hypercharge-less fermions, is proposed. We apply it to the inverse seesaw scenario, which allows to generate light neutrino masses from the interplay of TeV-scale Pseudo-Dirac mass terms and a small explicit breaking of lepton number. A single generation of vector-like dark quarks, transforming under a $\text{SU}(3)_\text{D}$ gauge symmetry, is coupled to a real singlet scalar, which serve…