Stay updated with the latest research and technology news
arXiv:2603.03161v1 Announce Type: new Abstract: We are concerned with stable solutions to reaction-diffusion elliptic PDEs. We begin with regularity questions, first addressing the classical Laplacian....
arXiv:2603.03167v1 Announce Type: new Abstract: There are many examples of `binary' partial groups in the literature: sets equipped an identity and a partially-defined binary operation,...
arXiv:2603.03170v1 Announce Type: new Abstract: In this paper we investigate the Cauchy problem for Schr\"odinger ultrahyperbolic equations with singular (less than continuous) coefficients. We prove...
arXiv:2603.03174v1 Announce Type: new Abstract: Let $d\in\mathbb{N}$ and $\varphi\colon(0,1)\to[0,d]$. We prove there exists a set $F\subset\mathbb{R}^d$ whose lower spectrum $\operatorname{dim}^{\theta}_{\mathrm{L}} F$ satisfies $(1-\theta)\operatorname{dim}^{\theta}_{\mathrm{L}} F =...
arXiv:2603.03196v1 Announce Type: new Abstract: Deep generative models have become a standard for modeling priors for inverse problems, going beyond classical sparsity-based methods. However, existing...
arXiv:2603.03200v1 Announce Type: new Abstract: We point out a basic dichotomy between the shadowing and Lipschitz shadowing properties for one-sided shift spaces in two infinite-alphabet...
arXiv:2603.03211v1 Announce Type: new Abstract: Shape optimization under uncertainty (OUU) is computationally intensive for classical PDE-based methods due to the high cost of repeated sampling-based...
arXiv:2603.03215v1 Announce Type: new Abstract: We introduce a tropical spherical measure on $\mathbb{R}^n$ that is based on the tropical metric and is an analogue of...
arXiv:2603.03216v1 Announce Type: new Abstract: We review the contributions of Manuele Filaci - a PhD student from the university of Genova prematurely deceased a little...
arXiv:2603.03228v1 Announce Type: new Abstract: We construct the \emph{Extended Real Line with Reentry} (ERI), a quotient of $\overline{\mathbb{R}} = [-\infty,+\infty]$ obtained by collapsing $\{-\infty, 0,...
arXiv:2603.03237v1 Announce Type: new Abstract: Spatial relationships in multi-species data can indicate and affect system outcomes and behaviors, ranging from disease progression in cancer to...
arXiv:2603.03245v1 Announce Type: new Abstract: Let $\mu$ be a probability measure on $\mathbb{R}^{d}$. In this paper, we introduce a new set of computable quantities in...
arXiv:2603.03246v1 Announce Type: new Abstract: We study the stochastic heat flow with constant initial data and analyze its spatial average on the scale of $\varepsilon\ll1$....
arXiv:2603.03253v1 Announce Type: new Abstract: We prove that the locus of Noether-Lefschetz general polarized K3 surfaces of degree at most 8 defined over the rational...
arXiv:2603.03257v1 Announce Type: new Abstract: We prove that for supercritical percolation on every infinite transitive graph, the probability that the origin belongs to a finite...
arXiv:2603.03259v1 Announce Type: new Abstract: The numerical simulation of convection-dominated transient transport phenomena poses significant computational challenges due to sharp gradients and propagating fronts across...
arXiv:2603.03261v1 Announce Type: new Abstract: We provide an algebraic unification of the spectral gap proofs of the convergence of the renormalised model for regularity structures....
arXiv:2603.03268v1 Announce Type: new Abstract: This paper investigates the long-time asymptotics and the existence of stationary solutions for a class of stochastic Volterra equations (SVEs)....
arXiv:2603.03272v1 Announce Type: new Abstract: We prove the following rigidity result: every compact three-dimensional Heterotic soliton with vanishing torsion and harmonic curvature is rigid, namely,...
arXiv:2601.15571v4 Announce Type: cross Abstract: We characterize which coordinates of a factored state space determine optimal actions. For $\mathcal{D}=(A,S,U)$ with $S=X_1\times\cdots\times X_n$, coordinate set $I$...
arXiv:2603.02218v1 Announce Type: cross Abstract: Large language models (LLMs) make it plausible to build systems that improve through self-evolving loops, but many existing proposals are...
arXiv:2603.02307v1 Announce Type: cross Abstract: We study the family of semilinear wave equations $\square_{\mathbf{g}_p}\phi=(\partial_t\phi)^2$, on fixed expanding FLRW spacetimes, having $\mathbb{R}^3$ spatial slices and undergoing...
arXiv:2603.02320v1 Announce Type: cross Abstract: We consider perturbative quantum gravity as a quantum field theory of linearized metric perturbation on an asymptotically flat spacetime with...
arXiv:2603.02326v1 Announce Type: cross Abstract: Strong Zero Modes (SZMs) are (approximately) conserved quantities that result in (approximate) double degeneracies in the entire spectra of certain...