Tootfinder

A perfect matching reciprocity method for embedding multiple hypercubes in an augmented cube: Applications to Hamiltonian decomposition and fault-tolerant Hamiltonicity
Da-Wei Yang, Hongyang Zhang, Rong-Xia Hao, Sun-Yuan Hsieh
https://arxiv.org/abs/2507.12834

A perfect matching reciprocity method for embedding multiple hypercubes in an augmented cube: Applications to Hamiltonian decomposition and fault-tolerant Hamiltonicity
This paper focuses on the embeddability of hypercubes in an important class of Cayley graphs, known as augmented cubes. An $n$-dimensional augmented cube $AQ_n$ is constructed by augmenting the $n$-dimensional hypercube $Q_n$ with additional edges, thus making $Q_n$ a spanning subgraph of $AQ_n$. Dong and Wang (2019) first posed the problem of determining the number of $Q_n$-isomorphic subgraphs in $AQ_n$, which still remains open. By exploiting the Cayley properties of $AQ_n$, we establish a l…

Hecke reciprocity and class groups
Ari Shnidman, Artane Siad
https://arxiv.org/abs/2506.13749 https://arxiv.org/pdf/2506.13749…

Hecke reciprocity and class groups
When the $C_3$-extensions $F = K(\sqrt[3]{n})$ of $K = \mathbb{Q}(\sqrt{-3})$ are ordered by the norm of $n \in O_K$, we show that the average size of $\mathrm{Cl}_F[2]$ is $3/2$, confirming a prediction of Cohen--Martinet. Over $\mathbb{Q}$, we prove that as $F$ varies over the pure cubic fields $\mathbb{Q}(\sqrt[3]{n})$ that are tamely (resp.\ wildly) ramified at $3$, the average size of $\mathrm{Cl}_F[2]$ is $3/2$ (resp.\ $2$). This tame/wild dichotomy is not accounted for by the Cohen--Lens…

Leveraging Bi-Directional Channel Reciprocity for Robust Ultra-Low-Rate Implicit CSI Feedback with Deep Learning
Zhenyu Liu, Yi Ma, Rahim Tafazolli, Zhi Ding
https://arxiv.org/abs/2507.12301

Leveraging Bi-Directional Channel Reciprocity for Robust Ultra-Low-Rate Implicit CSI Feedback with Deep Learning
Deep learning-based implicit channel state information (CSI) feedback has been introduced to enhance spectral efficiency in massive MIMO systems. Existing methods often show performance degradation in ultra-low-rate scenarios and inadaptability across diverse environments. In this paper, we propose Dual-ImRUNet, an efficient uplink-assisted deep implicit CSI feedback framework incorporating two novel plug-in preprocessing modules to achieve ultra-low feedback rates while maintaining high enviro…

Replaced article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- Remarks on Diffeological Frobenius Reciprocity
Gabriele Barbieri, Jordan Watts, Francois Ziegler

New tests of cosmic distance duality relation with DESI 2024 BAO observations
Qiumin Wang, Shuo Cao, Jianyong Jiang, Kaituo Zhang, Xinyue Jiang, Tonghua Liu, Chengsheng Mu, Dadian Cheng
https://arxiv.org/abs/2506.12759

New tests of cosmic distance duality relation with DESI 2024 BAO observations
In this paper, we test the cosmic distance duality relation (CDDR), as required by the Etherington reciprocity theorem, which connects the angular diameter distance and the luminosity distance via the relation \( D_{\rm L}(z) = D_{\rm A}(z)(1+z)^2 \). Our analysis is based on the latest baryon acoustic oscillation (BAO) measurements provided by the Dark Energy Survey (DES), the Baryon Oscillation Spectroscopic Survey (BOSS)/Extended BOSS (eBOSS), and the Dark Energy Spectroscopic Instrument (DE…

Direct interferometric measurement of non-reciprocity induced by a plasmonic metasurface with false chirality
Ahmed Lafeef Ettapuram Naduvilepurayil, Harel Ginat, Fernando Loren, Luis Martin-Moreno, Shmuel Sternklar, Yuri Gorodetski
https://arxiv.org/abs/2506.08815

Direct interferometric measurement of non-reciprocity induced by a plasmonic metasurface with false chirality
Nonreciprocity is an important scientific concept related to the broken symmetry of light propagation through a system in forward and reverse directions. This effect lies in the origin of various applications including signal processing, noise reduction, unidirectional propagation and sensing. Here we show that propagation of Surface Plasmons (SP) within a structure having a false chirality exhibits a non-reciprocity. The SP waves propagating in opposite directions within the structure acquire …

TIL linking likely does not make a program a derivative of a library in the EU, thus making the GPL, LGPL and MPL effectivelly identical here.
https://interoperable-europe.ec.europa.eu/collection/eupl/news/copyleft-or-reciprocal

On a family of sums of powers of the floor function and their links with generalized Dedekind sums
Steven Brown
https://arxiv.org/abs/2507.11666 https://…

On a family of sums of powers of the floor function and their links with generalized Dedekind sums
In this paper we are concerned with a family of sums involving the floor function. With $r$ a non negative integer and $n$ and $m$ positive integers we consider the sums \begin{equation*}\mathbf{S}_{r}\left(n,m\right)=\sum_{k=1}^{n-1}{\left\lfloor \frac{km}{n}\right\rfloor}^r\end{equation*} While a formula for $\mathbf{S}_1$ is well known, we provide closed-form formulas for $\mathbf{S}_2$ and $\mathbf{S}_3$ as well as the reciprocity laws they satisfy. Additionally, one can find a closed-form …

Creative Commons launches “CC Signals”. Quote:
“TL;DR – What are CC signals?
“CC signals are a proposed framework to help content stewards express how they want their works used in AI training—emphasizing reciprocity, recognition, and sustainability in machine reuse. They aim to preserve open knowledge by encouraging responsible AI behavior without limiting innovation.”

CC Signals: A New Social Contract for the Age of AI - Creative Commons
TL;DR – What are CC signals? CC signals are a proposed framework to help content stewards express how they want their works used in AI training—emphasizing reciprocity, recognition, and sustainability in machine reuse. They aim to preserve open knowledge by encouraging responsible AI behavior without limiting innovation. 💗Love it! How can I show my support?…

Wreath Generalization of Littlewood Reciprocity
Milo Bechtloff Weising
https://arxiv.org/abs/2506.07727 https://arxiv.org/pdf/2506.07…

Wreath Generalization of Littlewood Reciprocity
We generalize Littlewood's reciprocity formula for the restriction coefficients between $\mathrm{GL}_n(\mathbb{C})$ and the symmetric group of permutation matrices $\mathfrak{S}_n$ to the case of the wreath product groups $μ_m^n\rtimes \mathfrak{S}_n $.

Direct reciprocity in asynchronous interactions
Ketian Sun, Qi Su, Long Wang
https://arxiv.org/abs/2506.04264 https://arxiv.org/pdf/2…

Direct reciprocity in asynchronous interactions
Cooperation is vital for the survival of living systems but is challenging due to the costs borne by altruistic individuals. Direct reciprocity, where actions are based on past encounters, is a key mechanism fostering cooperation. However, most studies assume synchronous decision-making, whereas real-world interactions are often asynchronous, with individuals acting in sequence. This asynchrony can undermine standard cooperative strategies like Tit-for-Tat and Win-Stay Lose-Shift. To better und…

Downlink CSIT under Compressed Feedback: Joint vs. Separate Source-Channel Coding
Yi Song, Tianyu Yang, Mahdi Barzegar Khalilsarai, Giuseppe Caire
https://arxiv.org/abs/2506.10554

Downlink CSIT under Compressed Feedback: Joint vs. Separate Source-Channel Coding
The acquisition of Downlink (DL) channel state information at the transmitter (CSIT) is known to be a challenging task in multiuser massive MIMO systems when uplink/downlink channel reciprocity does not hold (e.g., in frequency division duplexing systems). From a coding viewpoint, the DL channel state acquired at the users via DL training can be seen as an information source that must be conveyed to the base station via the UL communication channels. The transmission of a source through a chann…

Controllable Non-reciprocity in Multi-sphere Loaded Chiral Resonator
Maxime Ardisson, Guillaume Bourcin, Julien Haumant, Romain Lebrun, Isabella Boventer, Vincent Castel
https://arxiv.org/abs/2506.22230

Controllable Non-reciprocity in Multi-sphere Loaded Chiral Resonator
Cavity magnonics explores the hybridization of photons and magnons within microwave resonators. One of the hallmarks of these systems is their ability to exhibit non-reciprocity, which is a key feature for radio frequency (RF) applications. One way to control non-reciprocal behaviors in cavity magnonics is the design of chiral cavities that allow selective coupling between photons and magnons depending on their polarization. However, a built-in chiral platform to harness and control non-recipro…

“What we ultimately want, and what we believe we need, is a commons that is strong, resilient, growing, useful (to machines and to humans)—all the good things, frankly. But as our open infrastructures mature they become increasingly taken for granted, and the feeling that “this is for all of us” is replaced with “everyone is entitled to this”. While this sounds the same, it really isn’t. Because with entitlement comes misuse, the social contract breaks, reciprocation evaporates, and ultimately the magic weakens.”
Very glad to see that @… is working to address the deep challenges that have arisen at the intersection of the open movement and corporate AI.
https://creativecommons.org/2025/04/02/reciprocity-in-the-age-of-ai/
h/t @…

Hey @…, how’s this for a CC signal for AI, you clowns?
🖕
https://creativecommons.org/2025/06/25

Introducing CC Signals: A New Social Contract for the Age of AI - Creative Commons
CC Signals © 2025 by Creative Commons is licensed under CC BY 4.0 Creative Commons (CC) today announces the public kickoff of the CC signals project, a new preference signals framework designed to increase reciprocity and sustain a creative commons in the age of AI. The development of CC signals represents a major step forward…

Looked at @…'s Signals page (https://creativecommons.org/ai-and-the-commons/cc-signals/) again.
I think this…

CC Signals: A New Social Contract for the Age of AI - Creative Commons
TL;DR – What are CC signals? CC signals are a proposed framework to help content stewards express how they want their works used in AI training—emphasizing reciprocity, recognition, and sustainability in machine reuse. They aim to preserve open knowledge by encouraging responsible AI behavior without limiting innovation. 💗Love it! How can I show my support?…

Excess Observables Reveal Nonreciprocity in Integrated Covariance
Timur Aslyamov, Massimiliano Esposito
https://arxiv.org/abs/2507.07876 https://

Excess Observables Reveal Nonreciprocity in Integrated Covariance
Near equilibrium, the symmetric part of the time-integrated steady-state covariance, i.e., the time integral of correlation functions, is governed by the fluctuation-dissipation theorem, while the antisymmetric part vanishes due to Onsager reciprocity. Far from equilibrium, where these principles no longer apply, we develop a unified formalism for both symmetric and antisymmetric components of integrated covariances. We derive exact, computationally tractable expressions for these quantities, v…

Finance as Extended Biology: Reciprocity as the Cognitive Substrate of Financial Behavior
Egil Diau
https://arxiv.org/abs/2506.00099 https://

Finance as Extended Biology: Reciprocity as the Cognitive Substrate of Financial Behavior
A central challenge in economics and artificial intelligence is explaining how financial behaviors-such as credit, insurance, and trade-emerge from decentralized social interaction. We argue that these functions are not institutionally engineered, but arise from a single behavioral substrate: reciprocity. Observed across primates and foundational to early human societies, reciprocity governed the exchange of goods, regulation of obligation, and maintenance of cooperation-without formal rules. T…

This https://arxiv.org/abs/2312.03657 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multisymplecticity in finite element exterior calculus
We consider the application of finite element exterior calculus (FEEC) methods to a class of canonical Hamiltonian PDE systems involving differential forms. Solutions to these systems satisfy a local multisymplectic conservation law, which generalizes the more familiar symplectic conservation law for Hamiltonian systems of ODEs, and which is connected with physically-important reciprocity phenomena, such as Lorentz reciprocity in electromagnetics. We characterize hybrid FEEC methods whose numer…

This https://arxiv.org/abs/2407.00517 has been replaced.
initial toot: https://mastoxiv.page/@a…

Local and Global Reciprocity in Orbital-Charge-Coupled Transport
The coupled transport of charge and orbital angular momentum (OAM) lies at the core of orbitronics. Here, we examine the reciprocal relation in orbital-charge-coupled transport in thin films, treating bulk and surface contributions on equal footing. We argue that the conventional definition of orbital current is ill-defiled, as it violates reciprocity due to the nonconservation of OAM. This issue is resolved by adopting the so-called \emph{proper} orbital current, which is directly linked to or…

Many-body critical non-Hermitian skin effect
Yi Qin, Yee Sin Ang, Ching Hua Lee, Linhu Li
https://arxiv.org/abs/2506.01383 https://ar…

Many-body critical non-Hermitian skin effect
Criticality in non-Hermitian systems unveils unique phase transitions and scaling behaviors beyond Hermitian paradigms, offering new insights into the interplay between gain/loss, non-reciprocity, and complex energy spectra. In this paper, we uncover a new class of many-body critical non-Hermitian skin effect (CSE) originating from the interplay between multiple non-Hermitian pumping channels and Hubbard interactions. In particular, criticality in the real-to-complex transitions can selectively…

The Evolution of Altruistic Rationality Provides a Solution to Social Dilemmas via Rational Reciprocity
Mohammad Salahshour, Iain D. Couzin
https://arxiv.org/abs/2507.00858

The Evolution of Altruistic Rationality Provides a Solution to Social Dilemmas via Rational Reciprocity
Decades of scientific inquiry have sought to understand how evolution fosters cooperation, a concept seemingly at odds with the belief that evolution should produce rational, self-interested individuals. Most previous work has focused on the evolution of cooperation among boundedly rational individuals whose decisions are governed by behavioral rules that do not need to be rational. Here, using an evolutionary model, we study how altruism can evolve in a community of rational agents and promote…

Can LLMs and humans be friends? Uncovering factors affecting human-AI intimacy formation
Yeseon Hong, Junhyuk Choi, Minju Kim, Bugeun Kim
https://arxiv.org/abs/2505.24658

Can LLMs and humans be friends? Uncovering factors affecting human-AI intimacy formation
Large language models (LLMs) are increasingly being used in conversational roles, yet little is known about how intimacy emerges in human-LLM interactions. Although previous work emphasized the importance of self-disclosure in human-chatbot interaction, it is questionable whether gradual and reciprocal self-disclosure is also helpful in human-LLM interaction. Thus, this study examined three possible aspects contributing to intimacy formation: gradual self-disclosure, reciprocity, and naturalnes…

FAIR-MATCH: A Multi-Objective Framework for Bias Mitigation in Reciprocal Dating Recommendations
Madhav Kotecha
https://arxiv.org/abs/2507.01063 https://…

FAIR-MATCH: A Multi-Objective Framework for Bias Mitigation in Reciprocal Dating Recommendations
Online dating platforms have fundamentally transformed the formation of romantic relationships, with millions of users worldwide relying on algorithmic matching systems to find compatible partners. However, current recommendation systems in dating applications suffer from significant algorithmic deficiencies, including but not limited to popularity bias, filter bubble effects, and inadequate reciprocity modeling that limit effectiveness and introduce harmful biases. This research integrates fou…

Replaced article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- Remarks on Diffeological Frobenius Reciprocity
Gabriele Barbieri, Jordan Watts, Francois Ziegler

The Devil's Dung? Money as a mechanism of generalized reciprocity in human societies
Eduardo C. Ferraciolli, Francesco Renzini, Tanya V. Araujo, Flaminio Squazzoni
https://arxiv.org/abs/2506.20691

The Devil's Dung? Money as a mechanism of generalized reciprocity in human societies
St. Francis of Assisi (1181/82-1226) famously called money the devil's dung, and indeed money is often associated with greed, inequality, and corruption. Drawing on Nowak's five rules for the evolution of cooperation, we argue here that money promotes the formation of circuits of generalized reciprocity across human groups that are fundamental to social evolution. In an evolutionary tournament, we show that money exchange is an evolutionary stable strategy that promotes cooperation without rely…

Cost of institutional incentives for promoting cooperation in $2\times2$ games and collective risk games
M. H. Duong, C. M. Durbac, T. A. Han
https://arxiv.org/abs/2506.02968

Cost of institutional incentives for promoting cooperation in $2\times2$ games and collective risk games
Prosocial behaviours, which appear to contradict Darwinian principles of individual payoff maximisation, have been extensively studied across multiple disciplines. Cooperation, requiring a personal cost for collective benefits, is widespread in nature and has been explained through mechanisms such as kin selection, direct and indirect reciprocity, and network reciprocity. Institutional incentives, which reward cooperation and punish anti-social behaviour, offer a promising approach to fostering…

Enumeration of Hopf Monoids and Supersolvable Convex Geometries
Yichen Ma
https://arxiv.org/abs/2506.00380 https://arxiv.org/pdf/2506…

Enumeration of Hopf Monoids and Supersolvable Convex Geometries
We consider the Hopf monoid of convex geometries, which contains partial orders as a Hopf submonoid, and investigate combinatorial invariants constructed from canonical characters on them. Each invariant consists of a pair: a polynomial and a more general quasisymmetric function. We provide combinatorial descriptions of the polynomial invariants and prove combinatorial reciprocity theorems for polynomials that generalize order and enriched order polynomials within a unified framework. For the q…

This https://arxiv.org/abs/2412.19297 has been replaced.
initial toot: https://mastoxiv.page/@…

The XY model with vision cone: non-reciprocal vs. reciprocal interactions
We study the behavior of the classical XY model on a two-dimensional square lattice, with interactions occurring within a vision cone of each spin. Via Monte Carlo simulations, we explore one non-reciprocal and two reciprocal implementations of these interactions. The corresponding energy involves couplings that depend non-trivially on the system's configuration, leading to both long-range and quasi-long-range ordered phases at low temperatures. Our results demonstrate that non-reciprocity is n…

Replaced article(s) found for math.NT. https://arxiv.org/list/math.NT/new
[1/1]:
- $L^p$-Norm Bounds for Automorphic Forms via Spectral Reciprocity
Peter Humphries, Rizwanur Khan

How large language models judge and influence human cooperation
Alexandre S. Pires, Laurens Samson, Sennay Ghebreab, Fernando P. Santos
https://arxiv.org/abs/2507.00088

How large language models judge and influence human cooperation
Humans increasingly rely on large language models (LLMs) to support decisions in social settings. Previous work suggests that such tools shape people's moral and political judgements. However, the long-term implications of LLM-based social decision-making remain unknown. How will human cooperation be affected when the assessment of social interactions relies on language models? This is a pressing question, as human cooperation is often driven by indirect reciprocity, reputations, and the capaci…

Autocratic strategies in Cournot oligopoly game
Masahiko Ueda, Shoma Yagi, Genki Ichinose
https://arxiv.org/abs/2506.16038 https://ar…

Autocratic strategies in Cournot oligopoly game
An oligopoly is a market in which the price of a goods is controlled by a few firms. Cournot introduced the simplest game-theoretic model of oligopoly, where profit-maximizing behavior of each firm results in market failure. Furthermore, when the Cournot oligopoly game is infinitely repeated, firms can tacitly collude to monopolize the market. Such tacit collusion is realized by the same mechanism as direct reciprocity in the repeated prisoner's dilemma game, where mutual cooperation can be rea…