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arXiv:2412.13576v2 Announce Type: replace Abstract: The augmentation scheme provides a nontraditional approach to nonlinear integer programming by iteratively refining incumbent solutions along objective-improving directions from...
arXiv:2501.08804v2 Announce Type: replace Abstract: Biharmonic and conformal-biharmonic maps are two fourth-order generalizations of the well-studied notion of harmonic maps in Riemannian geometry. In this...
arXiv:2501.10672v3 Announce Type: replace Abstract: We explore connections between homotopy type theory and information theory through homotopy cardinality. We define probability types and random variable...
arXiv:2501.18342v3 Announce Type: replace Abstract: The aim of this paper is to prove a theorem of C.~Miranda on the H\"older regularity of convolution operators acting...
arXiv:2502.05146v2 Announce Type: replace Abstract: This paper classifies t-structures on the local derived category of a 3-fold flopping contraction, that are intermediate with respect to...
arXiv:2502.09109v2 Announce Type: replace Abstract: Joel Hamkins asks whether there is a $\Pi^0_1$-formula $\rho(x)$ such that $\rho({\ulcorner \phi \urcorner})$ is independent over ${\sf PA}+\phi$, if...
arXiv:2503.07022v2 Announce Type: replace Abstract: For some discretely observed path of oscillating Brownian motion with level of self-organized criticality $\rho_0$, we prove in the infill...
arXiv:2503.11024v2 Announce Type: replace Abstract: This paper establishes an equilibrium existence result for a class of Mean Field Games involving Reflected Stochastic Differential Equations. The...
arXiv:2503.15132v2 Announce Type: replace Abstract: In this paper, we introduce a family of integral transforms, denoted by \(\mathcal{O}_{\alpha}\), and constructed via kernel fusion of the...
arXiv:2503.20972v3 Announce Type: replace Abstract: We formulate p-adic versions of following three: (1) Grothendieck Inequality, (2) Johnson-Lindenstrauss Flattening Lemma, (3) Bourgain-Tzafriri Restricted Invertibility Theorem.
arXiv:2503.23732v2 Announce Type: replace Abstract: This paper addresses the existence and uniqueness of solutions to Reflected Generalized Backward Stochastic Differential Equations (GRBSDEs) within a general...
arXiv:2504.02075v2 Announce Type: replace Abstract: We consider a polynomial $P\in \mathbb{R}[x_{1},\cdots, x_{d}]$ of degree $ \delta $ that depends non-trivially on each of $x_1,...,x_d$ with...
arXiv:2504.02715v3 Announce Type: replace Abstract: The tropical rank of a semimodule of rational functions on a metric graph mirrors the concept of rank in linear...
arXiv:2504.11339v3 Announce Type: replace Abstract: We present preconditioning techniques to solve linear systems of equations with a block two-by-two and three-by-three structure arising from finite...
arXiv:2504.13155v4 Announce Type: replace Abstract: In this paper, we study MRC fibrations of compact K\"ahler manifolds with partially semi-positive curvature. We first prove that a...
arXiv:2504.18321v2 Announce Type: replace Abstract: We develop new techniques for computing the metric entropy of ellipsoids -- with polynomially decaying semi-axes -- in Banach spaces....
arXiv:2505.02614v2 Announce Type: replace Abstract: This paper focuses on applying entropic mirror descent to solve linear systems, where the main challenge for the convergence analysis...
arXiv:2505.03080v2 Announce Type: replace Abstract: In this paper, we initiate the rigorous mathematical analysis of the elastic-viscous-plastic (EVP) sea-ice model, which was introduced in [E....
arXiv:2505.04049v3 Announce Type: replace Abstract: This paper aims to investigate a three-dimensional fully magnetic effected piezoelectric beam model with strong sources and nonlinear interior dampings....
arXiv:2505.07334v3 Announce Type: replace Abstract: In this text, we illustrate the use of local methods in the theory of (irregular) holonomic D-modules. I. (The Euler...
arXiv:2505.15283v2 Announce Type: replace Abstract: This article studies a general divide-and-conquer algorithm for approximating continuous one-dimensional probability distributions with finite mean. The article presents a...
arXiv:2506.00571v2 Announce Type: replace Abstract: This article focuses on the occurrence of 3-point configurations in subsets of $\mathbb{R}^d$ of sufficient thickness. We prove that a...
arXiv:2506.10625v2 Announce Type: replace Abstract: The Bisognano-Wichmann and Haag duality properties for algebraic quantum field theories are often studied using the powerful tools of Tomita-Takesaki...
arXiv:2506.22326v2 Announce Type: replace Abstract: Sandqvis's semantics for classical logic without bivalence resolves the question of an anti-realist account of classical reasoning after Dummett. This...