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arXiv:2602.22184v1 Announce Type: new Abstract: We study two-dimensional Coulomb gases in the presence of $m\in\mathbb{N}_{>0}$ outposts. An outpost is a connected component of the coincidence...
arXiv:2602.22189v1 Announce Type: new Abstract: We investigate $p$-adic automorphic forms on unitary groups through the geometry of infinite-level unitary Shimura varieties and the Hodge-Tate period...
arXiv:2602.22191v1 Announce Type: new Abstract: Given an ideal $I$ in a regular local ring $A$, the cohomological dimension of $I$ in $A$ is the index...
arXiv:2602.22192v1 Announce Type: new Abstract: We prove a new characterization of complex projective space using lengths of extremal rays.
arXiv:2602.22199v1 Announce Type: new Abstract: The $i$-dimensional Potts lattice Higgs model is a random assignment of spins in $\mathbb{Z}_q$ to the $i$-dimensional cells of a...
arXiv:2602.22202v1 Announce Type: new Abstract: We determine the set of side lengths of $d$-dimensional cubes with vertices in $\mathbb Z^n$ using Witt's cancellation theorem from...
arXiv:2602.22210v1 Announce Type: new Abstract: On a compact connected Lie group $G$, we study the global solvability and the cohomology spaces of the differential complex...
arXiv:2207.00985v1 Announce Type: cross Abstract: This paper proposes methods of predicting dynamic time series (including non-stationary ones) based on a linguistic approach, namely, the study...
arXiv:2511.08208v1 Announce Type: cross Abstract: In this article, we study word equations in free semigroups and the conjecture that the existence of infinitely many solutions...
arXiv:2602.20376v1 Announce Type: cross Abstract: We approach the Max-3-Cut problem through the lens of maximizing complex-valued quadratic forms and demonstrate that low-rank structure in the...
arXiv:2602.21255v1 Announce Type: cross Abstract: We establish a general equilibrium theory for systems of large language model (LLM) agents operating under centralized orchestration. The framework...
arXiv:2602.21301v1 Announce Type: cross Abstract: Higher Berry phase has recently been proposed to study the topology of the space of gapped many-body quantum systems. In...
arXiv:2602.21321v1 Announce Type: cross Abstract: Analog in-memory computing (AIMC) performs computation directly within resistive crossbar arrays, offering an energy-efficient platform to scale large vision and...
arXiv:2602.21323v1 Announce Type: cross Abstract: Ermakov has shown how the solution to the classical harmonic oscillator in one spatial dimension with general time-dependent frequency can...
arXiv:2602.21391v1 Announce Type: cross Abstract: We find a general framework for the construction of birational involutions on two- and three-dimensional varieties obtained from $\mathbb P^2$,...
arXiv:2602.21396v1 Announce Type: cross Abstract: The narrow escape problem concerns the time needed for a diffusing particle to exit a confining domain through a small...
arXiv:2602.21429v1 Announce Type: cross Abstract: Flow-based generative models, such as diffusion models and flow matching models, have achieved remarkable success in learning complex data distributions....
arXiv:2602.21478v1 Announce Type: cross Abstract: We study inference on scalar-valued pathwise differentiable targets after adaptive data collection, such as a bandit algorithm. We introduce a...
arXiv:2602.21493v1 Announce Type: cross Abstract: With the discovery of gravitational waves and fast radio bursts, wave optics has become increasingly relevant in astrophysics. This paper...
arXiv:2602.21495v1 Announce Type: cross Abstract: Congestion pricing has emerged as an effective tool for mitigating traffic congestion, yet implementing welfare or revenue-optimal dynamic tolls is...
arXiv:2602.21501v1 Announce Type: cross Abstract: This guide develops high-probability regret bounds for empirical risk minimization (ERM). The presentation is modular: we state broadly applicable guarantees...
arXiv:2602.21519v1 Announce Type: cross Abstract: The actomyosin cortex, a thin layer of a cross-linked polymer network near the cell surface, generates active forces that are...
arXiv:2602.21541v1 Announce Type: cross Abstract: We present an exact integral formula for the multi-particle propagator of the one-dimensional Fermi--Hubbard model on an infinite lattice. The...
arXiv:2602.21707v1 Announce Type: cross Abstract: State-of-the-art learned reconstruction methods often rely on black-box modules that, despite their strong performance, raise questions about their interpretability and...