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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…

Dual-UAV-Aided Covert Communications for Air-to-Ground ISAC Networks
Jingke Sun, Liang Yang, Alexandros-Apostolos A. Boulogeorgos, Theodoros A. Tsiftsis, Hongwu Liu
https://arxiv.org/abs/2506.00601

Dual-UAV-Aided Covert Communications for Air-to-Ground ISAC Networks
To enhance both the sensing and covert communication performance, a dual-unmanned aerial vehicle (UAV)-aided scheme is proposed for integrated sensing and communication networks, in which one UAV maneuvers as the aerial dual-functional base-station (BS), while another UAV flies as the cooperative jammer. Artificial noise (AN) transmitted by the jamming UAV is utilized not only to confuse the ground warden but also to aid the aerial BS to sense multiple ground targets by combing the target-echoe…

Baseband-Free End-to-End Communication System Based on Diffractive Deep Neural Network
Xiaokun Teng, Wankai Tang, Xiao Li, Shi Jin
https://arxiv.org/abs/2506.02411

Baseband-Free End-to-End Communication System Based on Diffractive Deep Neural Network
Diffractive deep neural network (D2NN), also referred to as reconfigurable intelligent metasurface based deep neural networks (Rb-DNNs) or stacked intelligent metasurfaces (SIMs) in the field of wireless communications, has emerged as a promising signal processing paradigm that enables computing-by-propagation. However, existing architectures are limited to implementing specific functions such as precoding and combining, while still relying on digital baseband modules for other essential tasks …

Adsorbate phase transitions on nanoclusters from nested sampling
Thanawitch Chatbipho, Ray Yang, Robert B. Wexler, Livia B. P\'artay
https://arxiv.org/abs/2506.01295

Adsorbate phase transitions on nanoclusters from nested sampling
Nested sampling was employed to investigate adsorption equilibria on the truncated-octahedral Lennard-Jones nanocluster LJ$_{38}$ while systematically varying adsorbate-surface well depth and Lennard-Jones size parameters. Evaluation of the canonical partition function over a wide temperature range identifies two successive phase transitions: (i) condensation of the gas phase onto the cluster surface at higher temperatures, and (ii) lateral rearrangement of the adsorbed layer at lower temperatu…

Fluid Aerial Networks: UAV Rotation for Inter-Cell Interference Mitigation
Enzhi Zhou, Yue Xiao, Ziyue Liu, Sotiris A. Tegos, Panagiotis D. Diamantoulakis, George K. Karagiannidis
https://arxiv.org/abs/2507.01289

Fluid Aerial Networks: UAV Rotation for Inter-Cell Interference Mitigation
With the rapid development of aerial infrastructure, unmanned aerial vehicles (UAVs) that function as aerial base stations (ABSs) extend terrestrial network services into the sky, enabling on-demand connectivity and enhancing emergency communication capabilities in cellular networks by leveraging the flexibility and mobility of UAVs. In such a UAV-assisted network, this paper investigates position-based beamforming between ABSs and ground users (GUs). To mitigate inter-cell interference, we pro…

Characterizing control between interacting subsystems with deep Jacobian estimation
Adam J. Eisen, Mitchell Ostrow, Sarthak Chandra, Leo Kozachkov, Earl K. Miller, Ila R. Fiete
https://arxiv.org/abs/2507.01946

Characterizing control between interacting subsystems with deep Jacobian estimation
Biological function arises through the dynamical interactions of multiple subsystems, including those between brain areas, within gene regulatory networks, and more. A common approach to understanding these systems is to model the dynamics of each subsystem and characterize communication between them. An alternative approach is through the lens of control theory: how the subsystems control one another. This approach involves inferring the directionality, strength, and contextual modulation of c…

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initial toot: https://mastoxiv.page/@arXiv_mat…

On the limit theory of mean field optimal stopping with non-Markov dynamics and common noise
This paper focuses on a mean-field optimal stopping problem with non-Markov dynamics and common noise, inspired by Talbi, Touzi, and Zhang \cite{TalbiTouziZhang1,TalbiTouziZhang3}. The goal is to establish the limit theory and demonstrate the equivalence of the value functions between weak and strong formulations. The difference between the strong and weak formulations lies in the source of randomness determining the stopping time on a canonical space. In the strong formulation, the randomness …

Epistemic Scarcity: The Economics of Unresolvable Unknowns
Craig S Wright
https://arxiv.org/abs/2507.01483 https://arxiv.org/pdf/2507…

Epistemic Scarcity: The Economics of Unresolvable Unknowns
This paper presents a praxeological analysis of artificial intelligence and algorithmic governance, challenging assumptions about the capacity of machine systems to sustain economic and epistemic order. Drawing on Misesian a priori reasoning and Austrian theories of entrepreneurship, we argue that AI systems are incapable of performing the core functions of economic coordination: interpreting ends, discovering means, and communicating subjective value through prices. Where neoclassical and beha…

DFRC Systems Co-existing in Licensed Spectrum: Cognitive Beamforming Designs
Tuan Anh Le, Ivan Ku, Xin-She Yang, Christos Masouros, Tho Le-Ngoc
https://arxiv.org/abs/2506.01202

DFRC Systems Co-existing in Licensed Spectrum: Cognitive Beamforming Designs
This paper introduces a dual-function radar-communication (DFRC) system with cognitive radio capability to tackle the spectral scarcity problem in wireless communications. Particularly, a cognitive DFRC system operates on a spectrum owned by a primary system to simultaneously perform data communication and target tracking with the condition that its interference to the primary users (PUs) is below a certain threshold. To achieve this, an optimization problem is formulated to jointly design the …

MULTI-SCOUT: Multistatic Integrated Sensing and Communications in 5G and Beyond for Moving Target Detection, Positioning, and Tracking
Yalin E. Sagduyu, Kemal Davaslioglu, Tugba Erpek, Sastry Kompella, Gustave Anderson, Jonathan Ashdown
https://arxiv.org/abs/2507.02613

MULTI-SCOUT: Multistatic Integrated Sensing and Communications in 5G and Beyond for Moving Target Detection, Positioning, and Tracking
This paper presents a complete signal-processing chain for multistatic integrated sensing and communications (ISAC) using 5G Positioning Reference Signal (PRS). We consider a distributed architecture in which one gNB transmits a periodic OFDM-PRS waveform while multiple spatially separated receivers exploit the same signal for target detection, parameter estimation and tracking. A coherent cross-ambiguity function (CAF) is evaluated to form a range-Doppler map from which the bistatic delay and …