Tootfinder

On the first Neumann eigenvalue for critical points of a weighted area functional with asymptotically flat ends
A. L. Mart\'inez-Trivi\~no
https://arxiv.org/abs/2507.20955 h…

On the first Neumann eigenvalue for critical points of a weighted area functional with asymptotically flat ends
In the following work, we obtain a lower bound for the first Neumann eingevalue of the drift Laplacian $Δ^φ$ for a family of properly embedded $[φ,\vec{e}_{3}]$-minimal surfaces in $\mathbb{R}^3$ with concave function $φ$ and asymptotically flat ends. As application, we obtain a control on the topology for that surfaces with finite total curvature. The strategy will consists in an integration of the Bouchner's formula by the works of A. Lichnerowicz and S. Brendle, R. Tsiamis and relate sai…

Just finished reading "Theory of Water" by Leanne Betasamosake Simpson. It's a departure from a lot of the other stuff I've read lately (mostly unchallenging fiction), but it's really great, and hits hard in this specific political moment. It's an Indigenous anarchist theory book, published this year, and unsurprisingly holds a lot of truths I found valuable to hear. Highly recommend it if you're feeling nihilistic.
#AmReading #Anarchist #Theory

Stirling polynomials and multiple zeta (star) functions at non-positive integers
Yoni Ishii, Takeshi Shinohara
https://arxiv.org/abs/2508.12577 https://arx…

Stirling polynomials and multiple zeta (star) functions at non-positive integers
It is known that the values of multiple zeta functions (MZFs) at non-positive integers can be expressed by Bernoulli numbers. This paper gives explicit formulas for the values of MZFs and multiple zeta star functions (MZSFs) at non-positive integers using Stirling polynomials. We also study the following two points: a connection between MZFs and MZSFs at non-positive integers and a connection between reverse values and generalized Gregory coefficients studied by Matsusaka, Murahara, and Onozuka.

Experimental Insights from OpenAirInterface 5G positioning Testbeds: Challenges and solutions
Mohsen Ahadi, Adeel Malik, Omid Esrafilian, Florian Kaltenberger, Cedric Thienot
https://arxiv.org/abs/2508.19736

Experimental Insights from OpenAirInterface 5G positioning Testbeds: Challenges and solutions
5G New Radio (NR) is a key enabler of accurate positioning in smart cities and smart factories. This paper presents the experimental results from three 5G positioning testbeds running open-source OpenAirInterface (OAI) gNB and Core Network (CN), using Uplink Time Difference of Arrival (UL-TDoA) with the newly integrated Location Management Function (LMF). The testbeds are deployed across both indoor factories and outdoor scenarios with O-RAN Radio Units (RUs), following a 3GPP-compliant system …

Two-dimensional Yang-Mills theory via integrable probability
Thibaut Lemoine (IRMA)
https://arxiv.org/abs/2508.16162 https://arxiv.org/pdf/2508.16162

Two-dimensional Yang-Mills theory via integrable probability
In this paper, we review the construction and large $N$ study of the continuous two-dimensional Yang-Mills theory with gauge group $\mathrm{U}(N)$ through probability, combinatorics and representation theory. In a first part, we define the continuous Yang-Mills measure using Markovian holonomy fields, following a construction by L{é}vy, then we show in a second part how to derive Migdal's character expansion of the partition function for any compact structure group from this setting. We contin…

Flexoelectric Polarization Enhancement in Paraelectric $\mathrm{BaHfO_3}$ via Strain Gradient Engineering
Timo Piecuch, Jeffrey A. Brock, Xiaochun Huang, Arnold M. M\"uller, Christof Vockenhuber, Christof W. Schneider, Thomas Lippert, Nick A. Shepelin
https://arxiv.org/abs/2506.19690

Flexoelectric Polarization Enhancement in Paraelectric $\mathrm{BaHfO_3}$ via Strain Gradient Engineering
Flexoelectricity - polarization induced by strain gradients - offers a route to polar functionality in centrosymmetric dielectrics, where traditional piezoelectric effects are absent. This study investigates the flexoelectric effect in epitaxial $\mathrm{BaHfO_3}$ (BHO) thin films, a centrosymmetric and paraelectric perovskite. While a large lattice mismatch induces defect-driven relaxation, a coherently grown BHO film undergoes elastic relaxation, forming intrinsic strain gradients exceeding $…

Homomorphism Calculus for User-Defined Aggregations
Ziteng Wang, Ruijie Fang, Linus Zheng, Dixin Tang, Isil Dillig
https://arxiv.org/abs/2508.15109 https://

Homomorphism Calculus for User-Defined Aggregations
Data processing frameworks like Apache Spark and Flink provide built-in support for user-defined aggregation functions (UDAFs), enabling the integration of domain-specific logic. However, for these frameworks to support \emph{efficient} UDAF execution, the function needs to satisfy a \emph{homomorphism property}, which ensures that partial results from independent computations can be merged correctly. Motivated by this problem, this paper introduces a novel \emph{homomorphism calculus} that can…

Digital Twin Technologies in Predictive Maintenance: Enabling Transferability via Sim-to-Real and Real-to-Sim Transfer
Sizhe Ma, Katherine A. Flanigan, Mario Berg\'es
https://arxiv.org/abs/2507.18449

Digital Twin Technologies in Predictive Maintenance: Enabling Transferability via Sim-to-Real and Real-to-Sim Transfer
The advancement of the Internet of Things (IoT) and Artificial Intelligence has catalyzed the evolution of Digital Twins (DTs) from conceptual ideas to more implementable realities. Yet, transitioning from academia to industry is complex due to the absence of standardized frameworks. This paper builds upon the authors' previously established functional and informational requirements supporting standardized DT development, focusing on a crucial aspect: transferability. While existing DT research…

Sensitivity and transitivity for the induced maps on symmetric product suspensions of a topological space
Hongbo Zeng
https://arxiv.org/abs/2506.10455 http…

Sensitivity and transitivity for the induced maps on symmetric product suspensions of a topological space
Given a nondegenerate compact perfect and Hausdorff topological space $X$,$n\in \mathbb{N}$ and a function $f:X\rightarrow X$, we consider the $n$-fold symmetric product of $X$, $F_n(X)$ and the induced function $F_n(f):F_n(X)\rightarrow F_n(X)$. If $n\geq2$, we consider the $n$-fold symmetric product suspension of $X$, $SF_n(X)$ and the induced function$SF_n(f):SF_n(X)\rightarrow SF_n(X)$. In this paper, we study the relationships between the following statements: (1) $f\in \mathcal{M}$,(2) $F…

Large deviation principles for abelian monoids
Daniel Keliher, Sun Woo Park
https://arxiv.org/abs/2506.16970 https://arxiv.org/pdf/25…

Large deviation principles for abelian monoids
Following work of Mehrdad and Zhu and of Liu, we prove a large deviation principle for a broad class of integer-valued additive functions defined over abelian monoids. As a corollary, we obtain a large deviation principle for a generalized form of the Erdős-Kac theorem due to Liu.