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Computer Science Preprint PDF DOI

Computing Equilibrium beyond Unilateral Deviation

Mingyang Liu, Gabriele Farina, Asuman Ozdaglar · 2026

Most familiar equilibrium concepts, such as Nash and correlated equilibrium, guarantee only that no single player can improve their utility by deviating unilaterally. They offer no guarantees against …

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Mathematics Preprint PDF DOI

Fillable structures on negative-definite Seifert fibred spaces

Alberto Cavallo, Irena Matkovic · 2026

We classify fillable contact structures on all negative-definite star-shaped plumbings. Along the way, we show that such Seifert fibred spaces admit a unique negative maximal twisting number, and comp…

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AI & Data Science Preprint PDF DOI

Action Motifs: Self-Supervised Hierarchical Representation of Human Body Movements

Genki Kinoshita, Shu Nakamura, Ryo Kawahara, Shohei Nobuhara, Yasutomo Kawanishi, Ko Nishino · 2026

Effective human behavior modeling requires a representation of the human body movement that capitalizes on its compositionality. We propose a hierarchical representation consisting of Action Atoms tha…

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Mathematics Preprint PDF DOI

Heegaard Floer homology and maximal twisting numbers

Alberto Cavallo, Irena Matkovic · 2026

We adapt the Ozsv\'ath-Szab\'o full path algorithm to every star-shaped graph and establish a correspondence between negative-twisting tight contact structures on any Seifert fibred space over $S^2$, …

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Physics Preprint PDF DOI

Optimal current-based sensing of phonon temperature using a finite reservoir

Sindre Brattegard, Stephanie Matern, Mark T. Mitchison, Saulo V. Moreira · 2026

In realistic nanoscale transport set-ups, electron-phonon coupling leads to the exchange of heat between phonon baths and electronic reservoirs with finite heat capacities. Such exchange affects the f…

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AI & Data Science Preprint PDF DOI

Global Optimality for Constrained Exploration via Penalty Regularization

Florian Wolf, Ilyas Fatkhullin, Niao He · 2026

Efficient exploration is a central problem in reinforcement learning and is often formalized as maximizing the entropy of the state-action occupancy measure. While unconstrained maximum-entropy explor…

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Computer Science Preprint PDF DOI

Succinct Graph Representations and Algorithmic Applications

Ahammed Ullah, Alex Pothen · 2026

We propose new graph representations that exploit dense local structure to improve time and space simultaneously. Given an undirected graph $G$, we define a dual clique cover (DCC) representation of $…

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Physics Preprint PDF DOI

Many-mode grating couplers by avoiding undesired couplings

Nazar Pyvovar, Hao Li, Zhaowei Dai, Owen D. Miller · 2026

To couple many independent modes from free space to on chip, the key challenge is not enhancing the many necessary coupling rates (scattering-matrix elements) between targeted mode pairs. Instead, the…

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Engineering Preprint PDF DOI

A MEC-Based Optimization Framework for Dynamic Inductive Charging

Emre Ak{i}skal{i}oglu, Mustafa Atmaca, Lorenzo Ghiro, Giovanni Perin, Renato Lo Cigno · 2026

Range anxiety and long recharging times remain critical barriers to electric vehicle adoption. Dynamic Inductive Charging (DIC) offers a compelling solution by enabling wireless power transfer while d…

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Mathematics Preprint PDF DOI

Tur\'an-Type Extremal Results for Distance-$k$ Graphs

Zhen He, Nika Salia, Casey Tompkins, Xiutao Zhu · 2026

We study Tur\'an-type extremal problems for distance graphs, motivated by work of Csikv\'ari, Bollob\'as, Tyomkyn, and Uzzell. We determine the maximum number of vertex pairs at distance three in an $…

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Physics Preprint PDF DOI

A No-Cloning Trade-off Between Black Hole No-Hair and Horizon Smoothness

Sudhanva Joshi, Sunil Kumar Mishra · 2026

The black hole no-hair theorem is traditionally derived from the uniqueness theorems of general relativity. We show that a quantitative form follows from unitarity together with the standard semiclass…

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Mathematics Preprint PDF DOI

Hypergraph independence bounds: from maximum degree to average degree

Jing Yu, Junchi Zhang · 2026

We prove a transfer theorem for hereditary classes of $(r+1)$-uniform hypergraphs. Let $\mathcal G$ be such a class, and for $H\in\mathcal G$ write $\Delta(H)$ and $d(H)$ for the maximum degree and av…

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Mathematics Preprint PDF DOI

Extremal graphs for average size of maximal matchings in bicyclic graphs

Kai Zhang · 2026

For a graph \(G\), let $avm(G)$ denote the average size of its maximal matchings. This parameter was introduced by Engbers and Erey in the study of extremal problems for maximal matchings, and they as…

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Computer Science Preprint PDF DOI

The Origins of MEV: Systematic Attribution of Arbitrage Opportunity Creation at Scale

Andrei Seoev, Dmitry Belousov, Anastasiia Smirnova, Ksenia Kurinova, Aleksei Smirnov, Denis Fedyanin, Yury Yanovich · 2026

Maximal Extractable Value (MEV) represents billions of dollars in extracted value that fundamentally shapes blockchain network dynamics and participant incentives. While research has focused on MEV ex…

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Physics Preprint PDF DOI

Near--extremal gravitational collapse in 4+1 dimensions: Schwarzschild--de--Sitter space

Maciej Dunajski, Sebastian J. Szybka · 2026

We numerically study a formation of near extremal horizons from a gravitational collapse of radially symmetric gravitational waves in $4+1$ dimensions within the framework of pure Einstein gravity wit…

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Computer Science Preprint PDF DOI

MyoKin3X: A Myoelectric Framework for Full-Hand 3D Force Recording

Charlotte Rohleder, Raul Simpetru, Annika Wunsch, Alessandro Del Vecchio · 2026

Simultaneous multi-directional force measurement across all five digits is essential for studying hand coordination, compensatory forces, and myoelectric control, yet existing systems trade off digit …

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Mathematics Preprint PDF DOI

Stein's square function associated with the Bochner-Riesz means on M\'etivier groups and its applications

Joydwip Singh · 2026

In this paper, we study the $L^p$-boundedness of Stein's square function $\mathfrak{S}^{\alpha}(\mathcal{L})$ associated with the sub-Laplacian $\mathcal{L}$ on M\'etivier group $G$. A key aspect of o…

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AI & Data Science Preprint PDF DOI

Generate Your Talking Avatar from Video Reference

Zujin Guo, Zhenhui Ye, Yi Ren, Yuanming Li, Ce Chen, Zhibin Hong, Chen Change Loy · 2026

Existing talking avatar methods typically adopt an image-to-video pipeline conditioned on a static reference image within the same scene as the target generation. This restricted, single-view perspect…

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Computer Science Preprint PDF DOI

Semidefinite and linear programming bounds for sum-rank-metric codes and non-existence results

Aida Abiad, Antonina P. Khramova, Sven C. Polak, Ferdinando Zullo · 2026

The sum-rank metric provides a unifying framework that generalizes both the celebrated Hamming and rank metrics, and has found applications in areas such as network coding, distributed storage, and sp…

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Mathematics Preprint PDF DOI

Sufficient conditions for spanning $k$-trees in tough graphs

Caili Jia, Yong Lu · 2026

The toughness of a graph $G$, denoted by $\tau(G)$, is defined by $\tau(G)=$min $\{\frac{|S|}{c(G-S)}:S\subseteq V(G)$ and $c(G-S)\geq2\}$. A graph $G$ is said to be $\tau$-tough if $\tau(G)\geq \tau$…

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