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arXiv:2601.21588v3 Announce Type: replace Abstract: In this paper, we explicitly construct Maass wave cusp forms associated to Hecke characters on arbitrary real quadratic fields. This...
arXiv:2601.22370v2 Announce Type: replace Abstract: Operator splitting algorithms are a cornerstone of modern first-order optimization, decomposing complex problems into simpler subproblems solved via proximal operators....
arXiv:2601.22413v2 Announce Type: replace Abstract: An equivalence of the Riemann Hypothesis (RH) enables a direct bridge to the Young lattice. In specific, the classical threshold...
arXiv:2601.22940v2 Announce Type: replace Abstract: We prove local well-posedness and finite-time blow-up for a restricted fourth-order Prandtl equation posed on the half-line with clamped boundary...
arXiv:2602.00118v2 Announce Type: replace Abstract: The motivic hit problem seeks a minimal generating set for the motivic cohomology of classifying spaces as a module over...
arXiv:2602.00206v2 Announce Type: replace Abstract: Let $p$ be an odd prime. Define the Gaussian power sum \[ G_n(p)=\sum_{a=1}^{p-1}\sum_{b=1}^{p-1}(a+bi)^n\in\mathbb Z[i]. \] We determine $G_p(p)$ modulo high...
arXiv:2602.01168v2 Announce Type: replace Abstract: Large deviations for sums of i.i.d.\ random variables with stretched-exponential tails (also called Weibull or semi-exponential tails) have been well...
arXiv:2602.01882v2 Announce Type: replace Abstract: We provide explicit and polynomial bounds for the Homogeneous Wall Lemma which occurred for the first time implicitly in the...
arXiv:2602.01926v2 Announce Type: replace Abstract: We study higher regularity for weak solutions of the $p$-Laplace equation $-\Delta_p u = f$ in a domain $\Omega \subset...
arXiv:math/0608330v2 Announce Type: replace Abstract: We survey the use of club guessing and other pcf constructs in the context of showing that a given partially...
arXiv:2405.14273v4 Announce Type: replace-cross Abstract: A data-driven inverse optimization problem (DDIOP) seeks to estimate an objective function (i.e., weights) that is consistent with observed optimal-solution...
arXiv:2408.00436v2 Announce Type: replace-cross Abstract: Determining the best attainable threshold for qudit magic state distillation is directly related to the question of whether or not...
arXiv:2409.02159v3 Announce Type: replace-cross Abstract: We introduce a class of generalized tube algebras which describe how finite, non-invertible global symmetries of bosonic 1+1d QFTs act...
arXiv:2410.03619v5 Announce Type: replace-cross Abstract: Trajectory data, including time series and longitudinal measurements, are increasingly common in health-related domains such as biomedical research and epidemiology....
arXiv:2503.00227v4 Announce Type: replace-cross Abstract: This work introduces a unified framework for analyzing games in greater depth. In the existing literature, players' strategies are typically...
arXiv:2503.19859v3 Announce Type: replace-cross Abstract: The substantial computational demands of modern large-scale deep learning present significant challenges for efficient training and deployment. Recent research has...
arXiv:2505.08677v2 Announce Type: replace-cross Abstract: We consider a Moran-type model of cultural evolution, which describes how traits emerge, are transmitted, and get lost in populations....
arXiv:2505.12387v4 Announce Type: replace-cross Abstract: With the rapid discovery of emergent phenomena in deep learning and large language models, understanding their cause has become an...
arXiv:2505.12940v2 Announce Type: replace-cross Abstract: Operator learning is a rapidly growing field that aims to approximate nonlinear operators related to partial differential equations (PDEs) using...
arXiv:2505.16644v2 Announce Type: replace-cross Abstract: We consider the Schr\"odinger bridge problem which, given ensemble measurements of the initial and final configurations of a stochastic dynamical...
arXiv:2505.17961v3 Announce Type: replace-cross Abstract: Causal inference typically assumes centralized access to individual-level data. Yet, in practice, data are often decentralized across multiple sites, making...
arXiv:2507.18554v2 Announce Type: replace-cross Abstract: The paper analyzes four classical signal-plus-noise models: the factor model, spiked sample covariance matrices, the sum of a Wigner matrix...
arXiv:2508.19264v2 Announce Type: replace-cross Abstract: The diversity of human expression is the raw material of discovery. Generative artificial intelligence threatens this resource even as it...
arXiv:2509.15069v2 Announce Type: replace-cross Abstract: This letter presents a novel approach for \mbox{efficiently} computing time-index powered weighted sums of the form $\sum_{n=0}^{N-1} n^{K} v[n]$ using...