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arXiv:2601.19864v1 Announce Type: new Abstract: In this paper, we establish the properties of viscosity solutions in Martinet spaces, which lack both the algebraic group law...
arXiv:2601.19868v1 Announce Type: new Abstract: This study investigates component wise estimation of ordered variances of scale mixture of two normal distributions. For this study two...
arXiv:2601.19872v1 Announce Type: new Abstract: Nonlocal boundary value problems with Dirichlet or Neumann boundary are well-studied for nonlocal operators of the type $\mathcal{L}_\gamma u =...
arXiv:2601.19873v1 Announce Type: new Abstract: We show that for infinite Tychonoff spaces X and Y the weak*-dual of Ck(X x Y) contains a basic sequence;...
arXiv:2601.19874v1 Announce Type: new Abstract: Consider \[ \begin{cases} F(D^2 u,Du,u,x) = u^{-p}v^{-q},~\text{in}~\Omega\\ F(D^2 v,Dv,v,x)=u^{-r}v^{-s},~~\text{in}~~\Omega\\ u,v>0~~\text{in}~~\Omega\\ u=v=0~\quad~\text{on}~~\partial\Omega, \end{cases} \] where $\Omega$ is an open connected subset...
arXiv:2601.19875v1 Announce Type: new Abstract: In this note, we show that the weighted mass of Baldauf and Ozuch can be derived as a natural geometric...
arXiv:2601.19877v1 Announce Type: new Abstract: We present an energy-preserving (either energy-conservative or energy-dissipative) domain of dependence stabilization method for the linear wave equation on cut-cell...
arXiv:2601.19879v1 Announce Type: new Abstract: For any integer $d \geq 2$ and prime power $q$, we construct unexpectedly large induced matchings in the point-line incidence...
arXiv:2601.19881v1 Announce Type: new Abstract: We give the sufficient condition when every left-continuous (right-continuous) Hausdorff topology on a semigroup $S$ is discrete. We construct a...
arXiv:2601.19885v1 Announce Type: new Abstract: Let $(R, \mathfrak{m})$ be a regular local ring of characteristic $p > 0$. Among all proper ideals $\mathfrak{a}\subseteq R$ with...
arXiv:2601.17508v1 Announce Type: cross Abstract: We consider the permanent of a square matrix with non-negative entries. A tractable approximation is given by the so-called Bethe...
arXiv:2601.17928v1 Announce Type: cross Abstract: We are intereseted in quandles and their enveloping groups. Various results are proven. We show that a quandle $Q$ and...
arXiv:2601.18804v1 Announce Type: cross Abstract: Option pricing in real markets faces fundamental challenges. The Black--Scholes--Merton (BSM) model assumes constant volatility and uses a linear generator...
arXiv:2601.18808v1 Announce Type: cross Abstract: A model is presented that is applicable to a wide range of peak-shaped voltammetric signals. It may be used, via...
arXiv:2601.18863v1 Announce Type: cross Abstract: Effective field theories consistent with quantum gravity obey surprising finiteness constraints, appearing in several distinct but interconnected forms. In this...
arXiv:2601.18879v1 Announce Type: cross Abstract: We introduce multivariate multicycle (MM) codes, a new family of quantum error correcting codes that unifies and generalizes bivariate bicycle...
arXiv:2601.18903v1 Announce Type: cross Abstract: We introduce a family of polytopes -- in-in zonotopes -- whose boundary structure organizes the contributions to scalar equal-time correlators...
arXiv:2601.18925v1 Announce Type: cross Abstract: We present the novel Tensorized Discontinuous Isogeometric Analysis (TDIGA) method applied to the discontinuous Galerkin (DG) time-independent 2-D linearized Boltzmann...
arXiv:2601.18932v1 Announce Type: cross Abstract: Popularized by their strong image generation performance, diffusion and related methods for generative modeling have found widespread success in visual...
arXiv:2601.18950v1 Announce Type: cross Abstract: Distributed high dimensional mean estimation is a common aggregation routine used often in distributed optimization methods. Most of these applications...
arXiv:2601.18981v1 Announce Type: cross Abstract: The increasing deployment of Internet-of-Things (IoT)-enabled measurement devices in modern power systems has expanded the cyberattack surface of the grid....
arXiv:2601.18992v1 Announce Type: cross Abstract: The Bootstrap Particle Filter (BPF) and the Ensemble Kalman Filter (EnKF) are two widely used methods for sequential Bayesian filtering:...
arXiv:2601.19004v1 Announce Type: cross Abstract: The Robust Effect Size Index (RESI) is a recently proposed standardized effect size to quantify association strength across models. However,...
arXiv:2601.19016v1 Announce Type: cross Abstract: We study two canonical planted average-case problems -- noisy $k\mathsf{\text{-}XOR}$ and Tensor PCA -- and relate their computational properties via...