Tootfinder

Boardwalk: Towards a Framework for Creating Board Games with LLMs
\'Alvaro Guglielmin Becker, Gabriel Bauer de Oliveira, Lana Bertoldo Rossato, Anderson Rocha Tavares
https://arxiv.org/abs/2508.16447

Boardwalk: Towards a Framework for Creating Board Games with LLMs
Implementing board games in code can be a time-consuming task. However, Large Language Models (LLMs) have been proven effective at generating code for domain-specific tasks with simple contextual information. We aim to investigate whether LLMs can implement digital versions of board games from rules described in natural language. This would be a step towards an LLM-assisted framework for quick board game code generation. We expect to determine the main challenges for LLMs to implement the board…

A Framework for Optimal Ankle Design of Humanoid Robots
Guglielmo Cervettini, Roberto Mauceri, Alex Coppola, Fabio Bergonti, Luca Fiorio, Marco Maggiali, Daniele Pucci
https://arxiv.org/abs/2509.16469 …

A Framework for Optimal Ankle Design of Humanoid Robots
The design of the humanoid ankle is critical for safe and efficient ground interaction. Key factors such as mechanical compliance and motor mass distribution have driven the adoption of parallel mechanism architectures. However, selecting the optimal configuration depends on both actuator availability and task requirements. We propose a unified methodology for the design and evaluation of parallel ankle mechanisms. A multi-objective optimization synthesizes the mechanism geometry, the resulting…

Universality in the Anticoncentration of Noisy Quantum Circuits at Finite Depths
Arman Sauliere, Guglielmo Lami, Corentin Boyer, Jacopo De Nardis, Andrea De Luca
https://arxiv.org/abs/2508.14975

Universality in the Anticoncentration of Noisy Quantum Circuits at Finite Depths
We study the anticoncentration properties of quantum circuits in the presence of different sources of noise. In the \textit{weak-noise regime}, we show that different types of noise act in a similar fashion, leading to a universal distribution for the probability of a given bit-string, largely independent of the specific noise channel or circuit architecture. In addition, we can identify three distinct depth-dependent regimes, each signaled by a different scaling of cross-entropy benchmarking (…

$\zeta$-functions via contour integrals and universal sum rules
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
https://arxiv.org/abs/2508.15699 https://

$ζ$-functions via contour integrals and universal sum rules
This work develops an analytic framework for the study of the $ζ$-function associated with general sequences of complex numbers. We show that a contour integral representation, commonly used when studying spectral $ζ$-functions associated with self-adjoint differential operators, can be extended far beyond its traditional setting. In contrast to representations utilizing integrals of $θ$-functions, our method applies to arbitrary sequences of complex numbers with minimal assumptions. This le…

Crosslisted article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- $\zeta$-functions via contour integrals and universal sum rules
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill

Replaced article(s) found for math.KT. https://arxiv.org/list/math.KT/new
[1/1]:
- A model for the assembly map of bordism-invariant functors
Jordan Levin, Guglielmo Nocera, Victor Saunier

Crosslisted article(s) found for math.SP. https://arxiv.org/list/math.SP/new
[1/1]:
- $\zeta$-functions via contour integrals and universal sum rules
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill

Optical Cavity in Relativistic Regime for Laser Propulsion
Francesco Lorenzi, Luca Salasnich, Maria Guglielmina Pelizzo
https://arxiv.org/abs/2508.12442 https://

Optical Cavity in Relativistic Regime for Laser Propulsion
Laser propulsion has been proposed for relativistic interstellar flights, but it faces the significant challenge of requiring extremely powerful laser radiation due to the inherently low momentum transfer between the beam and the sail. The photon-recycling technique enhances thrust by transferring momentum through multiple reflections within a cavity setup, formed by the lightsail and a ground-based mirror in a laser system array. In this work, a delay differential model is developed to describ…

Emergence of Generic Entanglement Structure in Doped Matchgate Circuits
Alessio Paviglianiti, Luca Lumia, Emanuele Tirrito, Alessandro Silva, Mario Collura, Xhek Turkeshi, Guglielmo Lami
https://arxiv.org/abs/2507.12526

Emergence of Generic Entanglement Structure in Doped Matchgate Circuits
Free fermionic Gaussian, a.k.a. matchgate, random circuits exhibit atypical behavior compared to generic interacting systems. They produce anomalously slow entanglement growth, characterized by diffusive scaling $S(t) \sim \sqrt{t}$, and evolve into volume-law entangled states at late times, $S \sim N$, which are highly unstable to measurements. Here, we investigate how doping such circuits with non-Gaussian resources (gates) restores entanglement structures of typical dynamics. We demonstrate …

Crosslisted article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[1/2]:
- A new characterization of the holographic entropy cone
Guglielmo Grimaldi, Matthew Headrick, Veronika E. Hubeny