Tootfinder

The spectrum of limit models in a first order setting
Jeremy Beard
https://arxiv.org/abs/2510.03459 https://arxiv.org/pdf/2510.03459

The spectrum of limit models in a first order setting
Originally introduced by Kolmann and Shelah as a surrogate for saturated models, limit models have been established as natural and useful objects when studying abstract elementary classes. Shelah began the study of when (multiple notions of) limit models exist for first order theories. In this paper we look at their structure. In superstable theories it is known that all limit models are isomorphic, but in the strictly stable case the number of non-isomorphic models was not well understood. H…

A Mid-Infrared Spectroscopic Study of Young Stellar Objects in the SMC Region NGC 346: JWST Detects Dust, Accretion, Ices and Outflows
Nolan Habel, Omnarayani Nayak, Patrick J. Kavanagh, Olivia C. Jones, Margaret Meixner, Guido De Marchi, Laura Lenkic, Alec S. Hirschauer, Katia Biazzo, Jeroen Jaspers, Conor Nally, Massimo Robberto, Ciaran Rogers, Elena Sabbi, Beth A. Sargent, Peter Zeidler

A Mid-Infrared Spectroscopic Study of Young Stellar Objects in the SMC Region NGC 346: JWST Detects Dust, Accretion, Ices and Outflows
We present mid-infrared spectroscopic observations of intermediate- to high-mass young stellar objects (YSOs) in the low-metallicity star-forming region NGC 346 located within the Small Magellanic Cloud (SMC). We conduct these integral-field-unit observations with the Mid-Infrared Instrument Medium Resolution Spectroscopy instrument on board JWST. The brightest and most active star-forming region in the SMC, NGC 346 has a metallicity of $\sim$1/5 $Z_{\odot}$, analogous to the era when star form…

RSV-SLAM: Toward Real-Time Semantic Visual SLAM in Indoor Dynamic Environments
Mobin Habibpour, Alireza Nemati, Ali Meghdari, Alireza Taheri, Shima Nazari
https://arxiv.org/abs/2510.02616

RSV-SLAM: Toward Real-Time Semantic Visual SLAM in Indoor Dynamic Environments
Simultaneous Localization and Mapping (SLAM) plays an important role in many robotics fields, including social robots. Many of the available visual SLAM methods are based on the assumption of a static world and struggle in dynamic environments. In the current study, we introduce a real-time semantic RGBD SLAM approach designed specifically for dynamic environments. Our proposed system can effectively detect moving objects and maintain a static map to ensure robust camera tracking. The key innov…

A semi-automatic approach to study population dynamics based on population pyramids
Max Hahn-Klimroth, Jo\~ao Pedro Meireles, Laurie Bingaman Lackey, Nick van Eeuwijk Mads F. Bertelsen, Paul W. Dierkes, Marcus Clauss
https://arxiv.org/abs/2508.03788

A semi-automatic approach to study population dynamics based on population pyramids
The depiction of populations - of humans or animals - as "population pyramids" is a useful tool for the assessment of various characteristics of populations at a glance. Although these visualisations are well-known objects in various communities, formalised and algorithmic approaches to gain information from these data are less present. Here, we present an algorithm-based classification of population data into "pyramids" of different shapes ([normal and inverted] pyramid / plunger / bell, [lowe…

Anatomy of Family Trees in Cosmological Correlators
Bingchu Fan, Zhong-Zhi Xianyu
https://arxiv.org/abs/2509.02684 https://arxiv.org/pdf/2509.02684

Anatomy of Family Trees in Cosmological Correlators
The time-ordered multilayer integrals have long been cited as major challenges in the analytical study of cosmological correlators and wavefunction coefficients. The recently proposed family tree decomposition technique solved these time integrals in terms of canonical objects called family trees, which are multivariate hypergeometric functions with energies as variables and twists as parameters. In this work, we provide a systematic study of the analytical properties of family trees. By exploi…

Advancing Interstellar Science: A Global Framework for Comprehensive Study of Interstellar Objects
Omer Eldadi, Gershon Tenenbaum, Abraham Loeb
https://arxiv.org/abs/2510.01405 …

Advancing Interstellar Science: A Global Framework for Comprehensive Study of Interstellar Objects
The operation of the Vera C. Rubin Observatory's Legacy Survey of Space and Time (LSST) marks a transformative moment in humanity's capacity to detect and characterize interstellar objects (ISOs). With projections indicating an increase from a few detections per decade to potentially one every few months, humanity stands at the threshold of unprecedented scientific opportunity offering revolutionary insights into the nature of rocky materials, building blocks of life and technological products …

Self-lensing binaries in globular clusters - predictions for ELT
Grzegorz Wiktorowicz, Matthew Middleton, Mirek Giersz, Adam Ingram, Adam McMaster, Abbas Askar, Lucas Hellstr\"om
https://arxiv.org/abs/2510.02751

Self-lensing binaries in globular clusters - predictions for ELT
Self-lensing (SL) represents a powerful technique for detecting compact objects in binary systems through gravitational microlensing effects, when a compact companion transits in front of its luminous partner. We present the first comprehensive study of SL probability within globular cluster (GC) environments, utilizing synthetic stellar populations from MOCCA simulations to predict detection rates for the Extremely Large Telescope (ELT). Our analysis incorporates finite-size lens effects for w…

Stability Conditions and Moduli Spaces on Kuznetsov Component of Cubic Fivefolds
Peize Liu
https://arxiv.org/abs/2509.21454 https://arxiv.org/pdf/2509.2145…

Stability Conditions and Moduli Spaces on Kuznetsov Component of Cubic Fivefolds
We study the Kuznetsov component of cubic fivefolds via their quadric fibration model. We construct a family of Serre-invariant Bridgeland stability conditions on the Kuznetsov component and establish the non-emptiness of all moduli spaces of stable objects. As an application, we identify the lowest-dimensional moduli with the Fano surface of planes of the cubic fivefold, and recover a classical result of its Lagrangian immersion into a hyper-Kähler manifold.

How Well Do Vision--Language Models Understand Cities? A Comparative Study on Spatial Reasoning from Street-View Images
Juneyoung Ro, Namwoo Kim, Yoonjin Yoon
https://arxiv.org/abs/2508.21565

How Well Do Vision--Language Models Understand Cities? A Comparative Study on Spatial Reasoning from Street-View Images
Effectively understanding urban scenes requires fine-grained spatial reasoning about objects, layouts, and depth cues. However, how well current vision-language models (VLMs), pretrained on general scenes, transfer these abilities to urban domain remains underexplored. To address this gap, we conduct a comparative study of three off-the-shelf VLMs-BLIP-2, InstructBLIP, and LLaVA-1.5-evaluating both zero-shot performance and the effects of fine-tuning with a synthetic VQA dataset specific to urb…

Polarimetry imprints of exotic compact objects: relativistic fluid spheres and gravastars
Hanna Liis Tamm, Nicolas Aimar, Jo\~ao Lu\'is Rosa
https://arxiv.org/abs/2509.20344

Polarimetry imprints of exotic compact objects: relativistic fluid spheres and gravastars
Recent observations of polarimetric parameters of active galactic nuclei motivate the study of polarization in the spacetime of exotic compact objects which can mimic the features of black holes in the strong field regime of gravity. In this work, we study the properties of two models for ultra-compact objects containing light rings - relativistic fluid spheres and gravastars. We have simulated the orbit of a hot spot around the considered objects in the polarization ray-tracing software GYOTO,…

Investigating the Effect of Prior Exposure and Fidelity on Quality and Realism Perception of VR Digital Twins
Maximilian Warsinke, Maurizio Vergari, Tanja Koji\'c, Daniel Nikulin, Sebastian M\"oller
https://arxiv.org/abs/2509.20106

Investigating the Effect of Prior Exposure and Fidelity on Quality and Realism Perception of VR Digital Twins
This study explores how prior exposure to physical objects influences the quality and realism perception of Digital Twins (DT) with varying levels of fidelity in Virtual Reality (VR). In a mixed experimental design, 24 participants were divided into two equal groups: an exposure group, in which members were shown physical objects before inspecting and rating their replicas in VR, and a control group without prior knowledge. Three objects were presented, each under four fidelity conditions with …

Robust bounds on MACHOs from the faintest galaxies
Peter W. Graham, Harikrishnan Ramani, Maximilian Ruhdorfer
https://arxiv.org/abs/2510.01310 https://arxi…

Robust bounds on MACHOs from the faintest galaxies
We use the dynamical heating of stars in ultrafaint dwarf (UFD) galaxies to set limits on Massive Compact Halo Objects (MACHOs). In our analysis we study the robustness of the bounds under uncertainties in key UFD parameters, such as the half-light radius, stellar velocity dispersion, total halo mass and dark matter and stellar density profiles. We apply this framework to both well-established UFD candidates, as well as the recently discovered UFD candidate Ursa Major III/UNIONS 1. We find that…

Lagrangian description and quantification of scalar mixing in fluid flows from particle tracks
Anna Kl\"unker, Alexandra von Kameke, Kathrin Padberg-Gehle
https://arxiv.org/abs/2509.25030

Lagrangian description and quantification of scalar mixing in fluid flows from particle tracks
Understanding, quantifying and controlling transport and mixing processes are central in the study of fluid flows. Many different Lagrangian approaches have been proposed for detecting organizing flow structures that determine material transport, including recent data-based methods that aim to identify such coherent objects directly from tracer trajectories. These methods have helped to gain a better understanding of the underlying dynamics. However, the quantification of scalar mixing has not …

On four-rich points defined by pencils
Michalis Kokkinos, Audie Warren
https://arxiv.org/abs/2508.19061 https://arxiv.org/pdf/2508.19061

On four-rich points defined by pencils
In this paper we study the number of four-rich points defined by pencils of certain algebraic objects. Our main result concerns the number of four-rich points defined by four sheaves of planes; under certain non-degeneracy conditions, we prove that four sheaves of $n$ planes in $\mathbb P^3$ determine at most $O(n^{8/3})$ four-rich points. We prove this using the four dimensional Elekes-Szabó theorem. Using the same method, we prove an upper bound on the number of four-rich points determined b…

Exploring the Early Universe with Deep Learning
Emmanuel de Salis, Massimo De Santis, Davide Piras, Sambit K. Giri, Michele Bianco, Nicolas Cerardi, Philipp Denzel, Merve Selcuk-Simsek, Kelley M. Hess, M. Carmen Toribio, Franz Kirsten, Hatem Ghorbel
https://arxiv.org/abs/2509.22018

Exploring the Early Universe with Deep Learning
Hydrogen is the most abundant element in our Universe. The first generation of stars and galaxies produced photons that ionized hydrogen gas, driving a cosmological event known as the Epoch of Reionization (EoR). The upcoming Square Kilometre Array Observatory (SKAO) will map the distribution of neutral hydrogen during this era, aiding in the study of the properties of these first-generation objects. Extracting astrophysical information will be challenging, as SKAO will produce a tremendous amo…

Zeta functions of abstract isogeny graphs and modular curves
Jun Bo Lau, Travis Morrison, Eli Orvis, Gabrielle Scullard, Lukas Zobernig
https://arxiv.org/abs/2509.15214 https://…

Zeta functions of abstract isogeny graphs and modular curves
We introduce a ``non-orientable'' variation of Serre's definition of a graph, which we call an abstract isogeny graph. These objects capture the combinatorics of the graphs $G(p,\ell,H)$, the $\ell$-isogeny graphs of supersingular elliptic curves with $H$-level structure. In particular they allow for the study of non-backtracking walks, primes, and zeta functions. We prove an analogue of Ihara's determinant formula for the zeta function of an abstract isogeny graph. For $B_1(N) \subseteq H \sub…

The frequency-independent radio luminosity -- period relation of RS CVn stars
Qichen Huang, Biwei Jiang
https://arxiv.org/abs/2508.20393 https://arxiv.org/…

The frequency-independent radio luminosity -- period relation of RS CVn stars
Radio emissions from RS CVn objects exhibit distinct characteristics at low and high frequencies, widely attributed to differing radiation mechanisms. The disparate processes of high-frequency gyrosynchrotron and low-frequency electron cyclotron maser emissions have traditionally suggested an absence of correlation in their radio luminosities. Our study presents a frequency-independent linear correlation between radio luminosity ($L_R$) and orbital/rotational periods ($P$) in RS CVn binaries. A…

What Matters in RL-Based Methods for Object-Goal Navigation? An Empirical Study and A Unified Framework
Hongze Wang, Boyang Sun, Jiaxu Xing, Fan Yang, Marco Hutter, Dhruv Shah, Davide Scaramuzza, Marc Pollefeys
https://arxiv.org/abs/2510.01830

What Matters in RL-Based Methods for Object-Goal Navigation? An Empirical Study and A Unified Framework
Object-Goal Navigation (ObjectNav) is a critical component toward deploying mobile robots in everyday, uncontrolled environments such as homes, schools, and workplaces. In this context, a robot must locate target objects in previously unseen environments using only its onboard perception. Success requires the integration of semantic understanding, spatial reasoning, and long-horizon planning, which is a combination that remains extremely challenging. While reinforcement learning (RL) has become…

Ricci-Yamabe Soliton on a Class of $4$-Dimensional Walker Manifolds
Abdou Bousso, Ameth Ndiaye
https://arxiv.org/abs/2508.18504 https://arxiv.org/pdf/2508.…

Ricci-Yamabe Soliton on a Class of $4$-Dimensional Walker Manifolds
This article explores Ricci-Yamabe solitons on a specific class of 4-dimensional Walker manifolds. Walker manifolds, characterized by the existence of a parallel null distribution, find applications in general relativity and are fundamental objects of geometric study. We consider a particular pseudo-Riemannian metric, which depends on the smooth functions $f_1$, $f_2$, $f_3$. The main objective is to determine the conditions under which this manifold admits a Ricci-Yamabe soliton. We will expli…

Multiwavelength study of Galactic PeVatron LHAASO J0341 5258
P. Bangale (for the VERITAS Collaboration), X. Wang (for the HAWC Collaboration)
https://arxiv.org/abs/2509.20515 ht…

Multiwavelength study of Galactic PeVatron LHAASO J0341+5258
Galactic PeVatrons are astrophysical sources accelerating particles up to a few PeV (~10$^{15}$ eV). The primary method to identify both electron and proton PeVatrons is the observation of $γ$-ray radiation at ultra-high energies (UHE; E$>$100 TeV). In 2021, LHAASO detected 14 steady $γ$-ray sources with photon energies above 100 TeV and up to 1.4 PeV. Most of these sources can be plausibly associated with objects such as supernova remnants, pulsar wind nebulae, and stellar clusters. However,…

Instances of models of double-categorical theories
Kevin Carlson, Evan Patterson
https://arxiv.org/abs/2510.08861 https://arxiv.org/pdf/2510.08861

Instances of models of double-categorical theories
We contribute a chapter in common to categorical database theory and to the study of higher morphisms between double categories. The common thread here is the notion of instance, or right module, which we generalize from functors from a plain category into Set to the models of a (cartesian) double theory. This provides a concept of instance for such objects as a category equipped with a monad, or a (symmetric) multicategory, recovering the multifunctors into Set in the latter case. We also show…

Asteroid Rotation Periods: Statistical Analysis in the Diameter-Spin Distribution
Maryam Nastaran, Atila Poro, Raziyeh Hosseini, Matin Najarzadeh
https://arxiv.org/abs/2508.17415

Asteroid Rotation Periods: Statistical Analysis in the Diameter-Spin Distribution
This study examines the rotational characteristics of asteroids through statistical modeling of the diameter-period relationship. A statistical evaluation of the diameter-period relationship was conducted using a dataset of 34,326 asteroids. Clustering identified three main groups, including a dense cluster below the spin barrier, a population of small, fast-rotating asteroids, and a more diffuse group. Geometric and density-based analyses showed that the densest region consists of objects with…

⏱️ Researchers discover how the human brain organizes its visual memories through precise neural timing
https://medicalxpress.com/news/2025-07-human-brain-visual-memories-precise.html

Researchers discover how the human brain organizes its visual memories through precise neural timing
Researchers at the University of Southern California have made a significant breakthrough in understanding how the human brain forms, stores and recalls visual memories. A new study, published in Advanced Science, harnesses human patient brain recordings and a powerful machine learning model to shed new light on the brain's internal code that sorts memories of objects into categories—think of it as the brain's filing cabinet of imagery.

Quadrupole perturbations of slowly spinning Ellis-Bronnikov wormholes
Bahareh Azad, Jose Luis Bl\'azquez-Salcedo, Fech Scen Khoo, Jutta Kunz, Francisco Navarro-L\'erida
https://arxiv.org/abs/2509.22118

Quadrupole perturbations of slowly spinning Ellis-Bronnikov wormholes
We study the axial and polar perturbations of slowly rotating Ellis-Bronnikov wormholes in General Relativity, applying a perturbative double expansion. In particular, we derive the equations for $l=2$, $M_z=2$ perturbations of these objects which are parametrized by an asymmetry parameter. The equations constitute an astrophysically interesting sector of the perturbations that contribute dominantly to the gravitational wave radiation. Moreover, calculation of these modes may exhibit potential …

MUSE study of two giant low surface brightness galaxies with compact satellites
Anna S. Saburova, Damir Gasymov, Ivan S. Gerasimov, Oleg V. Egorov, Igor V. Chilingarian, Fedor M. Kolganov, Anatoly V. Zasov, Evgenii V. Rubtsov, Anton V. Afanasiev, Mariia V. Demianenko
https://arxiv.org/abs/2509.25310

MUSE study of two giant low surface brightness galaxies with compact satellites
Giant low-surface-brightness disk galaxies (gLSBGs) are rare objects with disk radii up-to 160 kpc and dynamical masses of an order of up to 10$^{12}$ $M_{\odot}$. Their very existence challenges currently accepted theories of galaxy formation and evolution, as it is difficult to build such large, dynamically cold disks through mergers without destroying them. We present deep MUSE mosaic observations of two nearby gLSBGs with compact elliptical satellites: UGC 1382, which hosts a globally count…

Kinds of preservations for properties
Temurboy E. Rajabov, Sergey V. Sudoplatov
https://arxiv.org/abs/2509.21876 https://arxiv.org/pdf/2509.21876

Kinds of preservations for properties
We study possibilities of preservations for properties, their links and related connections between semantic and syntactic ones, both in general and as characterizations for subalgebras, congruence relations, Henkin construction, Tarski-Vaught test, some graphs, and graded structures. Traces for types and related objects are studied, too.

Seeking Kinematic Association of Known FU Orionis Stars with Young Clusters in Cygnus
Tamojeet Roychowdhury, Lynne A. Hillenbrand
https://arxiv.org/abs/2509.25341 https://

Seeking Kinematic Association of Known FU Orionis Stars with Young Clusters in Cygnus
Kinematic studies of young stars and star clusters have increased our understanding of the process of star formation and evolution in the Milky Way. FU Orionis objects are a specific class of young stellar object notable for their extremely high disk-to-star accretion rates. We use parallax and proper motion information from the Gaia astrometric survey to study five known FU Ori stars towards the Cygnus clouds, in the distance range ~500-900 parsecs, and seek evidence of their kinematic associa…

Likelihood-Based Heterogeneity Inference Reveals Non-Stationary Effects in Biohybrid Cell-Cargo Transport
Jan Albrecht, Lara S. Dautzenberg, Manfred Opper, Carsten Beta, Robert Gro{\ss}mann
https://arxiv.org/abs/2508.12976

Likelihood-Based Heterogeneity Inference Reveals Non-Stationary Effects in Biohybrid Cell-Cargo Transport
Variability of motility behavior in populations of microbiological agents is an ubiquitous phenomenon even in the case of genetically identical cells. Accordingly, passive objects introduced into such biological systems and driven by them will also exhibit heterogeneous motion patterns. Here, we study a biohybrid system of passive beads driven by active ameboid cells and use a likelihood approach to estimate the heterogeneity of the bead dynamics from their discretely sampled trajectories. We s…

Wireless Communication Performance Testing: From Laboratory Environment to Research Vessel
Andrei-Raoul Morariu, Andreas Strandberg, Bogdan Iancu, Jerker Bjorkqvist
https://arxiv.org/abs/2509.14740

Wireless Communication Performance Testing: From Laboratory Environment to Research Vessel
This study investigates signal transmission within a shared spectrum, focusing on measurements conducted both in laboratory and outdoor environments. The objective was to demonstrate how laboratory objects obstructing the line of sight can attenuate the signal between a transmitter (Tx) and a receiver (Rx). Additionally, we examined the impact of distance and placement in various locations aboard an electric research boat on signal transmission efficiency. These findings contribute to understan…

Line defects and scattering amplitudes in the context of the AdS/CFT correspondence
Mart\'in Lagares
https://arxiv.org/abs/2509.14018 https://arxiv.org…

Line defects and scattering amplitudes in the context of the AdS/CFT correspondence
Line defects and scattering amplitudes have proven to be fruitful objects of study in the context of holographic dualities. They serve as valuable theoretical laboratories for the development of non-perturbative methods and have provided fertile ground for unveiling remarkable structures that have deepened our understanding of quantum field theory, such as the positive geometry description of scattering amplitudes in theories like ${\cal N}=4$ super Yang-Mills and ABJM. This thesis focuses on t…

\'Etude de quelques familles de $\lambda$-quiddit\'es et minoration de la taille maximale des $\lambda$-quiddit\'es irr\'eductibles sur un corps fini
Flavien Mabilat
https://arxiv.org/abs/2510.09219

Étude de quelques familles de $λ$-quiddités et minoration de la taille maximale des $λ$-quiddités irréductibles sur un corps fini
$λ$-quiddities of size $n$ are $n$-tuples of elements from a fixed set that are solutions to a matrix equation which is fundamental in the study of the combinatorics of the modular group and Coxeter's friezes. To gain further insight into these objects, we use a notion of irreducibility, which allows restricting the study to a limited number of elements that must be determined for each set. Our goal here is to define several families of $λ$-quiddities over finite fields and to study their irr…

Chemical enrichment of metal-poor stars orbiting massive black hole companions
Alejandra Rosselli-Calderon, Julia Stewart, Sijing Shen Sukanya Chakrabarti, Melinda Soares-Furtado, Enrico Ramirez-Ruiz
https://arxiv.org/abs/2508.14163

Chemical enrichment of metal-poor stars orbiting massive black hole companions
There are millions of undetected black holes wandering through our galaxy. Observatories like {\it Chandra}, LIGO, and more recently, {\it Gaia}, have provided valuable insights into the configurations of these elusive objects when residing in binary systems. Motivated by these advances, we study, for the first time, the enhanced accretion of metals from the interstellar medium (ISM) onto low-mass companions in binary systems with highly unequal mass ratios, utilizing a series of hydrodynamical…

JuggleRL: Mastering Ball Juggling with a Quadrotor via Deep Reinforcement Learning
Shilong Ji, Yinuo Chen, Chuqi Wang, Jiayu Chen, Ruize Zhang, Feng Gao, Wenhao Tang, Shu'ang Yu, Sirui Xiang, Xinlei Chen, Chao Yu, Yu Wang
https://arxiv.org/abs/2509.24892

JuggleRL: Mastering Ball Juggling with a Quadrotor via Deep Reinforcement Learning
Aerial robots interacting with objects must perform precise, contact-rich maneuvers under uncertainty. In this paper, we study the problem of aerial ball juggling using a quadrotor equipped with a racket, a task that demands accurate timing, stable control, and continuous adaptation. We propose JuggleRL, the first reinforcement learning-based system for aerial juggling. It learns closed-loop policies in large-scale simulation using systematic calibration of quadrotor and ball dynamics to reduce…

The averaged broadband spectral energy distribution study of Fermi bright BL Lac objects
Hubing Xiao, Haitao Cao, Rui Xue, Zhihao Ouyang, Shaohua Zhang, Junping Chen, Zhijian Luo, Jianghe Yang, Junhui Fan
https://arxiv.org/abs/2509.11820

The averaged broadband spectral energy distribution study of Fermi bright BL Lac objects
The physics-determined broadband spectral energy distributions (SEDs) of blazars have been widely used to study the property during their flaring/outburst states, while the non-flaring state takes up most of their lifetime and the general property of blazars has been barely discussed. In this work, for the first time, we used the archival data and employed the physics-determined SED processing method to form approximately average-state SEDs for 513 \textit{Fermi} bright BL Lacs. In general, we …

Hilbert transforms on Coxeter groups and groups acting on buildings
Xiao-Qi Lu, Runlian Xia
https://arxiv.org/abs/2508.18176 https://arxiv.org/pdf/2508.181…

Hilbert transforms on Coxeter groups and groups acting on buildings
In this paper, we study Hilbert transforms and their boundedness on $L_p$-spaces associated with Coxeter groups and groups acting on buildings. We establish new models for Hilbert transforms on these groups through the geometric objects they act on, and we show that these Hilbert transforms satisfy a Cotlar identity which was developed in earlier work of Mei and Ricard, and that of González-Pérez, Parcet and the second named author, thus conclude the $L_p$-boundedness. We manage to solve the …

Witt Groups and Bulk-Boundary Correspondence for Stabilizer States
B{\l}a\.zej Ruba, Bowen Yang
https://arxiv.org/abs/2509.10418 https://arxiv.org/pdf/2509…

Witt Groups and Bulk-Boundary Correspondence for Stabilizer States
We establish a bulk--boundary correspondence for translation-invariant stabilizer states in arbitrary spatial dimension, formulated in the framework of modules over Laurent polynomial rings. To each stabilizer state restricted to half-space geometry we associate a boundary operator module. Boundary operator modules provide examples of quasi-symplectic modules, which are objects of independent mathematical interest. In their study, we use ideas from algebraic L-theory in a setting involving non-…

Dynamic Scene 3D Reconstruction of an Uncooperative Resident Space Object
Bala Prenith Reddy Gopu, Timothy Jacob Huber, George M. Nehma, Patrick Quinn, Madhur Tiwari, Matt Ueckermann, David Hinckley, Christopher McKenna
https://arxiv.org/abs/2509.07932

Dynamic Scene 3D Reconstruction of an Uncooperative Resident Space Object
Characterization of uncooperative Resident Space Objects (RSO) play a crucial role in On-Orbit Servicing (OOS) and Active Debris Removal (ADR) missions to assess the geometry and motion properties. To address the challenges of reconstructing tumbling uncooperative targets, this study evaluates the performance of existing state-of-the-art 3D reconstruction algorithms for dynamic scenes, focusing on their ability to generate geometrically accurate models with high-fidelity. To support our evaluat…

On Multiplicative Weightings for Lie Groupoids and Lie Algebroids
Daniel Hudson
https://arxiv.org/abs/2508.10276 https://arxiv.org/pdf/2508.10276

On Multiplicative Weightings for Lie Groupoids and Lie Algebroids
We present a thorough study of the differential geometry of weightings and develop the theory of weightings for vector bundles, Lie groupoids, and Lie algebroids. We begin by extending the work of Loizides and Meinrenken on weighted manifolds. We define weighted submanifolds, weighted immersions, and weighted embeddings, and prove normal form theorems for these objects. We also study characterizations of weighted morphisms in terms of their graphs and in terms of weighted paths. We further ex…

Beyond Spherical geometry: Unraveling complex features of objects orbiting around stars from its transit light curve using deep learning
Ushasi Bhowmick, Shivam Kumaran
https://arxiv.org/abs/2509.14875

Beyond Spherical geometry: Unraveling complex features of objects orbiting around stars from its transit light curve using deep learning
Characterizing the geometry of an object orbiting around a star from its transit light curve is a powerful tool to uncover various complex phenomena. This problem is inherently ill-posed, since similar or identical light curves can be produced by multiple different shapes. In this study, we investigate the extent to which the features of a shape can be embedded in a transit light curve. We generate a library of two-dimensional random shapes and simulate their transit light curves with light cur…

A Practical Guide to Rigorously Locate Periodic Orbits in Discrete Dynamics
Luc\'ia Alonso Mozo, Olivier H\'enot, Phillipo Lappicy
https://arxiv.org/abs/2510.06373 https…

A Practical Guide to Rigorously Locate Periodic Orbits in Discrete Dynamics
Periodic orbits are important objects of discrete dynamical systems, but finding them is not always easy. We present a self-contained introductory account, aimed at non-experts, to prove their existence and study their stability using the aid of the computer. The method consists in three main steps. First, we reformulate the problem of identifying a $p$-periodic orbit as a root-finding problem. Second, we find a numerical approximation of the root (i.e. a periodic orbit candidate). Third, we ve…

Virtual Observatory and machine learning for the study of low-mass objects in photometric and spectroscopic surveys
Pedro Mas-Buitrago
https://arxiv.org/abs/2508.07998 https://

Virtual Observatory and machine learning for the study of low-mass objects in photometric and spectroscopic surveys
Low-mass objects are ubiquitous in our Galaxy. Their low temperature provides them with complex atmospheres characterised by the presence of strong molecular absorption bands which, together with their faintness, have made their accurate characterisation a great challenge for astronomers over the last decades. M dwarfs account for 75% of the census of stars within 10 pc of the Sun, and their suitability as targets in the search for Earth-like planets has led many research groups to focus on the…

Predicting Road Crossing Behaviour using Pose Detection and Sequence Modelling
Subhasis Dasgupta, Preetam Saha, Agniva Roy, Jaydip Sen
https://arxiv.org/abs/2508.15336 https://

Predicting Road Crossing Behaviour using Pose Detection and Sequence Modelling
The world is constantly moving towards AI based systems and autonomous vehicles are now reality in different parts of the world. These vehicles require sensors and cameras to detect objects and maneuver according to that. It becomes important to for such vehicles to also predict from a distant if a person is about to cross a road or not. The current study focused on predicting the intent of crossing the road by pedestrians in an experimental setup. The study involved working with deep learning …

Testing Depth First Search Numbering
Artur Czumaj, Christian Sohler, Stefan Walzer
https://arxiv.org/abs/2509.05132 https://arxiv.org/pdf/2509.05132…

Testing Depth First Search Numbering
Property Testing is a formal framework to study the computational power and complexity of sampling from combinatorial objects. A central goal in standard graph property testing is to understand which graph properties are testable with sublinear query complexity. Here, a graph property P is testable with a sublinear query complexity if there is an algorithm that makes a sublinear number of queries to the input graph and accepts with probability at least 2/3, if the graph has property P, and reje…

Analytical modeling of the gravitational potential of irregularly shaped celestial bodies considering three distinct internal structures: application to (21) Lutetia
Marcelo L. Mota, Safwan A., Antonio F. B. A. Prado
https://arxiv.org/abs/2508.08538

Analytical modeling of the gravitational potential of irregularly shaped celestial bodies considering three distinct internal structures: application to (21) Lutetia
The classical polyhedral model is one of the most accurate methods currently used to represent the gravitational field of irregularly shaped bodies. However, it assumes a homogeneous density distribution, which may not accurately reflect the internal composition of real objects. This study aims to analyze the effects of the internal structure of asteroid (21) Lutetia on gravitational potential modeling by considering a three-layered composition with distinct densities. The gravitational approac…

Automorphisms of valued fields: amalgamation and existential closedness
Jan Dobrowolski, Francesco Gallinaro, Rosario Mennuni
https://arxiv.org/abs/2510.06021 https://

Automorphisms of valued fields: amalgamation and existential closedness
We study valued fields equipped with an automorphism. We prove that all of them have an extension admitting an equivariant cross-section of the valuation. In residual characteristic zero, and in the presence of such a cross-section, we show that amalgamation problems are solvable precisely when the induced residual problem is, characterise the existentially closed objects of this category, and prove that its positive theory does not have the tree property of the second kind. We prove analogous …

Microlensing of non-singular black holes at finite size: a ray tracing approach
Jens Boos, Hao Hu
https://arxiv.org/abs/2510.10282 https://arxiv.org/pdf/25…

Microlensing of non-singular black holes at finite size: a ray tracing approach
We study the gravitational microlensing of various static and spherically symmetric non-singular black holes (and horizonless, non-singular compact objects of similar size). For pointlike sources we extend the parametrized post-Newtonian lensing framework to fourth order, whereas for extended sources we develop a ray tracing approach via a simple radiative transfer model. Modelling non-relativistic proper motion of the lens in front of a background star we record the apparent brightness as a fu…

Embodied Tactile Perception of Soft Objects Properties
Anirvan Dutta, Alexis WM Devillard, Zhihuan Zhang, Xiaoxiao Cheng, Etienne Burdet
https://arxiv.org/abs/2508.09836 https:/…

Embodied Tactile Perception of Soft Objects Properties
To enable robots to develop human-like fine manipulation, it is essential to understand how mechanical compliance, multi-modal sensing, and purposeful interaction jointly shape tactile perception. In this study, we use a dedicated modular e-Skin with tunable mechanical compliance and multi-modal sensing (normal, shear forces and vibrations) to systematically investigate how sensing embodiment and interaction strategies influence robotic perception of objects. Leveraging a curated set of soft wa…

Variability of the DG Tau Forbidden Emission Line Low Velocity Component
Noah Otten, Emma Whelan, Yu-Ru Chou, Michihiro Takami, Aisling Murphy, Andrea Banzatti
https://arxiv.org/abs/2509.19256

An Exploratory Study on Abstract Images and Visual Representations Learned from Them
Haotian Li, Jianbo Jiao
https://arxiv.org/abs/2509.14149 https://arxiv…

An Exploratory Study on Abstract Images and Visual Representations Learned from Them
Imagine living in a world composed solely of primitive shapes, could you still recognise familiar objects? Recent studies have shown that abstract images-constructed by primitive shapes-can indeed convey visual semantic information to deep learning models. However, representations obtained from such images often fall short compared to those derived from traditional raster images. In this paper, we study the reasons behind this performance gap and investigate how much high-level semantic content…

GRMHD Study of Accretion onto time-like Naked Singularities
Akhil Uniyal, Indu K. Dihingia, Yosuke Mizuno, W{\l}odek Klu\'zniak
https://arxiv.org/abs/2509.09288 https://

GRMHD Study of Accretion onto time-like Naked Singularities
Naked singularities (NkS) are solutions to the Einstein field equations that violate the cosmic censorship conjecture. Recent studies indicate that these objects may serve as compelling mimickers of black hole shadows. In this work, we investigate the accretion dynamics of selected time-like naked singularities using general relativistic magnetohydrodynamic (GRMHD) simulations. Our objective is to determine whether naked singularities exhibit distinct signatures compared to black holes. We find…

Revealing the temperature effect on the nucleon-nucleon inelastic cross section in isospin-asymmetric nuclear medium
Manzi Nan, Pengcheng Li, Guojun Wei, Xilong Xiang, Wei Zuo, Qingfeng Li
https://arxiv.org/abs/2510.09337

Revealing the temperature effect on the nucleon-nucleon inelastic cross section in isospin-asymmetric nuclear medium
The nucleon-nucleon ($NN$) inelastic cross section plays an important role in constraining the nuclear equation of state at high baryon density and in describing the formation and evolution of compact astrophysical objects. In this study, the temperature $T$ dependence of the $Δ^{++}$ and $Δ^{-}$ production cross sections in the isospin-symmetric and -asymmetric nuclear medium is investigated within the self-consistent and relativistic Boltzmann--Uehling--Uhlenbeck (RBUU) framework. Two relat…

Evolution of the infrared luminosity function and its corresponding dust-obscured star formation rate density out to z~6
M. P. Koprowski, J. V. Wijesekera, J. S. Dunlop, K. Lisiecki, D. J. McLeod, R. J. McLure, M. J. Micha{\l}owski, M. Solar
https://arxiv.org/abs/2509.12922

Evolution of the infrared luminosity function and its corresponding dust-obscured star formation rate density out to z~6
We present a new determination of the evolving far-infrared galaxy luminosity function (FIR LF) and the resulting inferred evolution of dust-obscured star-formation rate density (SFRD) out to redshift z~6. To establish the evolving co-moving number density of FIR-bright objects, we make use of the high-resolution ALMA follow-up study (AS2UDS), of the JCMT SCUBA-2 Cosmology Legacy Survey (S2CLS) sub-mm imaging in the UKIDSS UDS survey field. In order to estimate the contributions of faint/low-ma…

Thermodynamics of Einstein-Geometric Proca AdS compact objects
Asalkhon Alimova, Elham Ghorani, Beyhan Puli\c{c}e, Farruh Atamurotov, Ahmadjon Abdujabbarov
https://arxiv.org/abs/2509.09389

Thermodynamics of Einstein-Geometric Proca AdS compact objects
In this study we explore metric-Palatini gravity extended by the antisymmetric component of the affine curvature. This gravitational theory results in general relativity plus a geometric Proca field. Building on our previous work, where we constructed its static spherically symmetric solutions in the Anti-de Sitter (AdS) background (Eur. Phys. J. C 83(4):318, 2023), we conduct a comprehensive analysis of the system's thermodynamics. We examine the thermodynamic properties of the Einstein-Geomet…

Robotic Manipulation Framework Based on Semantic Keypoints for Packing Shoes of Different Sizes, Shapes, and Softness
Yi Dong, Yangjun Liu, Jinjun Duan, Yang Li, Zhendong Dai
https://arxiv.org/abs/2509.06048

Robotic Manipulation Framework Based on Semantic Keypoints for Packing Shoes of Different Sizes, Shapes, and Softness
With the rapid development of the warehousing and logistics industries, the packing of goods has gradually attracted the attention of academia and industry. The packing of footwear products is a typical representative paired-item packing task involving irregular shapes and deformable objects. Although studies on shoe packing have been conducted, different initial states due to the irregular shapes of shoes and standard packing placement poses have not been considered. This study proposes a robo…

The linear programming optimum for packings in classical association schemes
Kai-Uwe Schmidt, Charlene Wei{\ss}
https://arxiv.org/abs/2508.12806 https://ar…

The linear programming optimum for packings in classical association schemes
Association schemes are central objects in algebraic combinatorics, with the classical schemes lying at their core. These classical association schemes essentially consist of the Hamming and Johnson schemes, and their $q$-analogs: bilinear forms scheme, alternating bilinear forms scheme, Hermitian forms scheme, $q$-Johnson scheme, and polar space schemes. Each of them gives rise to a distance-regular graph on a vertex set $X$, naturally endowed with the path metric. We study $d$-codes in these …

Enhanced Predictive Modeling for Hazardous Near-Earth Object Detection: A Comparative Analysis of Advanced Resampling Strategies and Machine Learning Algorithms in Planetary Risk Assessment
Sunkalp Chandra
https://arxiv.org/abs/2508.15106

Enhanced Predictive Modeling for Hazardous Near-Earth Object Detection: A Comparative Analysis of Advanced Resampling Strategies and Machine Learning Algorithms in Planetary Risk Assessment
This study evaluates the performance of several machine learning models for predicting hazardous near-Earth objects (NEOs) through a binary classification framework, including data scaling, power transformation, and cross-validation. Six classifiers were compared, namely Random Forest Classifier (RFC), Gradient Boosting Classifier (GBC), Support Vector Classifier (SVC), Linear Discriminant Analysis (LDA), Logistic Regression (LR), and K-Nearest Neighbors (KNN). RFC and GBC performed the best, b…

An in-depth study of brown dwarfs with TESS
F. Marcadon, A. Pr\v{s}a
https://arxiv.org/abs/2510.05852 https://arxiv.org/pdf/2510.05852

An in-depth study of brown dwarfs with TESS
The existence of a deficit of brown dwarfs (BDs) in close orbit around main-sequence stars is one of the most intriguing questions in stellar physics. This so-called BD desert may result from the transition between two different dominant formation processes occurring for different mass regimes. While the BD mass derived from radial-velocity measurements helps confirm the nature of the analyzed objects, the BD radius obtained from transits is important to better constrain the BD age, as BDs are …

Shell-Type Soft Jig for Holding Objects during Disassembly
Takuya Kiyokawa, Ryunosuke Takebayashi, Kensuke Harada
https://arxiv.org/abs/2509.13802 https://…

Shell-Type Soft Jig for Holding Objects during Disassembly
This study addresses a flexible holding tool for robotic disassembly. We propose a shell-type soft jig that securely and universally holds objects, mitigating the risk of component damage and adapting to diverse shapes while enabling soft fixation that is robust to recognition, planning, and control errors. The balloon-based holding mechanism ensures proper alignment and stable holding performance, thereby reducing the need for dedicated jig design, highly accurate perception, precise grasping,…

Modeling of non-rotating neutron stars in 5D Einstein-Gauss-Bonnet gravity
Mohammad Mazhari
https://arxiv.org/abs/2508.09696 https://arxiv.org/pdf/2508.096…

Modeling of non-rotating neutron stars in 5D Einstein-Gauss-Bonnet gravity
This study investigates the modeling of anisotropic magnetized static neutron stars within the framework of five-dimensional Einstein-Gauss-Bonnet (5D EGB) gravity. While Einstein's gravity has traditionally been employed to examine neutron stars, recent observational advancements have revealed its limitations in accurately describing high-mass astronomical objects-particularly in predicting or explaining certain observed neutron star masses. In response, this research seeks to address the limi…

Disk fraction among free-floating planetary-mass objects in Upper Scorpius
Tommy Rodrigues, Herv\'e Bouy, Sean N. Raymond, Eduardo L. Mart\'in, Emmanuel Bertin, Javier Olivares, David Barrado, N\'uria Hu\'elamo, Motohide Tamura, N\'uria Miret Roig, Phillip A. B. Galli, Jean-Charles Cuillandre
https://arxiv.org/abs/2510.…

Disk fraction among free-floating planetary-mass objects in Upper Scorpius
Free-floating planetary-mass objects (FFPs) have been detected through direct imaging within several young, nearby star-forming regions. The properties of circumstellar disks around these objects may provide a valuable probe into their origin, but is currently limited by the small sizes of the sample explored. We aim to perform a statistical study of the occurrence of circumstellar disks down to the planetary-mass regime. We performed a systematic survey of disks among the population identified…

JVLA and VLBA study of the merging cool core CHIPS 1911 4455 at z~0.5: radio emission from an infant AGN and from a rapidly star-forming BCG
Francesco Ubertosi, Myriam Gitti, Pasquale Temi, Ewan O'Sullivan, Valeria Olivares, Gerrit Schellenberger, Fabrizio Brighenti, Marcello Giroletti
https://arxiv.org/abs/2508.04778

JVLA and VLBA study of the merging cool core CHIPS 1911+4455 at z~0.5: radio emission from an infant AGN and from a rapidly star-forming BCG
Recent studies of galaxy clusters found peculiar cases at the boundary between non-cool core and cool core systems. While unusual, these objects can help us understand the evolution of the most massive clusters. We investigated the role of active galactic nucleus (AGN) feedback in the starburst brightest cluster galaxy (BCG) of the merging cool core cluster CHIPS 1911+4455 (z = 0.485). We conducted new multifrequency (0.3 - 5 GHz) Very Long Baseline Array (VLBA) and Jansky Very Large Array (JVL…

Deep polarimetry study reveals double ring ORC-like structures
Sam Taziaux, Dominik J. Bomans, Christopher J. Riseley, Alec J. M. Thomson, Ray P. Norris, Aritra Basu, George H. Heald, Timothy J. Galvin, Bj\"orn Adebahr, Miroslav D. Filipovi\'c, Nikhel Gupta, Stas Shabala, Tayyaba Zafar
https://arxiv.org/abs/2509.04981

Deep polarimetry study reveals double ring ORC-like structures
New observations with the current generation of advanced radio interferometers, such as ASKAP and MeerKAT, have led to the discovery of new classes of extended radio sources of unknown origin, including the so-called Odd Radio Circles (ORCs). These phenomena are detected exclusively in the radio continuum, with no clear counterparts at other wavelengths, making their physical nature and origin a subject of ongoing investigation. To better understand these objects, we study their radio continuum…

Multi-Robot Task Planning for Multi-Object Retrieval Tasks with Distributed On-Site Knowledge via Large Language Models
Kento Murata, Shoichi Hasegawa, Tomochika Ishikawa, Yoshinobu Hagiwara, Akira Taniguchi, Lotfi El Hafi, Tadahiro Taniguchi
https://arxiv.org/abs/2509.12838

Multi-Robot Task Planning for Multi-Object Retrieval Tasks with Distributed On-Site Knowledge via Large Language Models
It is crucial to efficiently execute instructions such as "Find an apple and a banana" or "Get ready for a field trip," which require searching for multiple objects or understanding context-dependent commands. This study addresses the challenging problem of determining which robot should be assigned to which part of a task when each robot possesses different situational on-site knowledge-specifically, spatial concepts learned from the area designated to it by the user. We propose a task plannin…

Understanding Exoplanet Habitability: A Bayesian ML Framework for Predicting Atmospheric Absorption Spectra
Vasuda Trehan, Kevin H. Knuth, M. J. Way
https://arxiv.org/abs/2510.08766

Understanding Exoplanet Habitability: A Bayesian ML Framework for Predicting Atmospheric Absorption Spectra
The evolution of space technology in recent years, fueled by advancements in computing such as Artificial Intelligence (AI) and machine learning (ML), has profoundly transformed our capacity to explore the cosmos. Missions like the James Webb Space Telescope (JWST) have made information about distant objects more easily accessible, resulting in extensive amounts of valuable data. As part of this work-in-progress study, we are working to create an atmospheric absorption spectrum prediction model…

Minimum and maximum mass-luminosity relations for stripped stars
Gautham N. Sabhahit, Jorick S. Vink, Andreas A. C. Sander, Varsha Ramachandran
https://arxiv.org/abs/2508.14161 …

Minimum and maximum mass-luminosity relations for stripped stars
Envelope stripping, whether through single-star wind mass loss or binary mass transfer, is a key evolutionary pathway for the formation of classical Wolf-Rayet stars and lower-mass stripped helium (He) stars. However, to study the evolution of these objects into black holes, neutron stars, and stripped-envelope supernovae, we need appropriate input models for the core-He burning phase without relying on the uncertain evolution into this evolved phase. Reliable mass-luminosity relations (MLRs) f…

Probing the Infrared/Radio correlation of the full IRAS Revised Bright Galaxy Sample with MeerKAT and the VLA
M. E. Moloko, L. Marchetti, T. H. Jarrett, J. J. Condon, W. D. Cotton, A. M. Matthews, T. Mauch, M. Vaccari
https://arxiv.org/abs/2509.07105

Probing the Infrared/Radio correlation of the full IRAS Revised Bright Galaxy Sample with MeerKAT and the VLA
We study the infrared/radio correlation of galaxies in the IRAS Revised Bright Galaxy Sample using new MeerKAT observations at $\rmν= 1.28\, GHz$, complemented with VLA data. We classify the objects by primary energy source (Active Galactic Nuclei vs. Star-Forming) and take into account their merger status. With this, we aim to explore the effect of galaxy-galaxy interaction on the total-infrared (TIR)/radio correlation ($q_\mathrm{TIR}$) of star-forming galaxies by comparing the $q_\mathrm{TI…

Metallicity of Active Galactic Nuclei from ultraviolet and optical emission lines-II. Revisiting the $C43$ metallicity calibration and its implications
O. L. Dors, C. B. Oliveira, M. V. Cardaci, G. F. H\"agele, Mark Armah, R. A. Riffel, L. Ramos Vieira, G. C. Almeida, I. N. Morais, P. C. Santos
https://arxiv.org/abs/2508.05397

Metallicity of Active Galactic Nuclei from ultraviolet and optical emission lines-II. Revisiting the $C43$ metallicity calibration and its implications
In this study, a new semi-empirical calibration is proposed between ultraviolet emission lines (\ion{C}{iii}]$\lambda1909$, \ion{C}{iv}$\lambda1549$, \ion{He}{ii}]$\lambda1640$) of type~2 AGNs and their metallicity ($Z$). This calibration is derived by comparing a large sample of 106 objects (data taken from the literature) located over a wide range of redshifts ($0 \: \lesssim \: z \: \lesssim \: 4.0$) with predictions from photoionization models that adopt a recent C/O-O/H relation derived vi…

Two-stream network-driven vision-based tactile sensor for object feature extraction and fusion perception
Muxing Huang, Zibin Chen, Weiliang Xu, Zilan Li, Yuanzhi Zhou, Guoyuan Zhou, Wenjing Chen, Xinming Li
https://arxiv.org/abs/2510.12528

Two-stream network-driven vision-based tactile sensor for object feature extraction and fusion perception
Tactile perception is crucial for embodied intelligent robots to recognize objects. Vision-based tactile sensors extract object physical attributes multidimensionally using high spatial resolution; however, this process generates abundant redundant information. Furthermore, single-dimensional extraction, lacking effective fusion, fails to fully characterize object attributes. These challenges hinder the improvement of recognition accuracy. To address this issue, this study introduces a two-stre…

Euclid preparation. Using mock Low Surface Brightness dwarf galaxies to probe Wide Survey detection capabilities
Collaboration, Urbano, Duc, Poulain, Nucita, Venhola, Marchal, K\"ummel, Kong, Soldano, Romelli, Walmsley, Saifollahi, Voggel, Lan\c{c}on, Marleau, Sola, Hunt, Junais, Carollo, Sanchez-Alarcon, Baes, Buitrago, Cantiello, Cuillandre, S\'anchez, Ferr\'e-Mateu, Franco, Gracia-Carpio, Habas, Hilker, Iodice, Knapen, Le, Mart\'inez-Delgado, M\"uller, De Paoli…

Euclid preparation. Using mock Low Surface Brightness dwarf galaxies to probe Wide Survey detection capabilities
Local Universe dwarf galaxies are both cosmological and mass assembly probes. Deep surveys have enabled the study of these objects down to the low surface brightness (LSB) regime. In this paper, we estimate Euclid's dwarf detection capabilities as well as limits of its MERge processing function (MER pipeline), responsible for producing the stacked mosaics and final catalogues. To do this, we inject mock dwarf galaxies in a real Euclid Wide Survey (EWS) field in the VIS band and compare the inpu…