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arXiv:2603.02786v1 Announce Type: new Abstract: Let $\mathcal{F}=\{A_1,A_2,\ldots,A_k\}$ be a collection of finite arithmetic progressions, where each $A_d$ is an initial segment of the set $D_d=\{d,2d,3d,\ldots\}$...
arXiv:2603.02791v1 Announce Type: new Abstract: Previously, we have investigated a natural smooth map onto the region surrounded by the graphs of two smooth real-valued functions...
arXiv:2603.02793v1 Announce Type: new Abstract: We study a one-dimensional McKean-Vlasov stochastic differential equation (SDE) with a drift equal to a product of a distribution depending...
arXiv:2603.02797v1 Announce Type: new Abstract: We offer a measure-theoretic extension of the concept and theory of $k$-contraction, including their generalization on fractional dimensions $d$. The...
arXiv:2603.02808v1 Announce Type: new Abstract: We classify rotary (orientably-regular) maps whose underlying graphs are multicycles. For the multicycle $\mathrm{C}_n^{(\lambda)}$ of length $n$ and edge-multiplicity $\lambda$,...
arXiv:2603.02812v1 Announce Type: new Abstract: We prove global convergence in function space for the steepest descent method in shape optimisation with semilinear elliptic partial differential...
arXiv:2603.02820v1 Announce Type: new Abstract: In this paper, we study an intertemporal utility maximization problem in which an investor chooses consumption and portfolio strategies in...
arXiv:2603.02822v1 Announce Type: new Abstract: We introduce and study doubly twisted near-isometries. A doubly twisted near-isometry is a tuple of near-isometries satisfying certain relations determined...
arXiv:2603.02823v1 Announce Type: new Abstract: We study the problem of global extremum seeking in the presence of local extrema. We investigate two different perturbation-based methods:...
arXiv:2603.02824v1 Announce Type: new Abstract: Let $G$ be a finite simple graph with edge ideal $I(G)$. For $q\ge 1$, the $q$-th squarefree power $I(G)^{[q]}$ is...
arXiv:2603.02831v1 Announce Type: new Abstract: Roman domination and its higher-order extensions have attracted considerable attention due to their natural interpretation in terms of defensive resource...
arXiv:2603.02839v1 Announce Type: new Abstract: The resonant dynamics of a charged particle, governed by the Lorentz force equation in an electromagnetic field generated by a...
arXiv:2603.02844v1 Announce Type: new Abstract: We study the optimal routing problem in decentralized exchanges built on Constant Function Market Makers when trades can be split...
arXiv:2603.02848v1 Announce Type: new Abstract: By exploiting the arithmetic homotopy of the moduli spaces of curves, Galois-Teichm\"uller theory stands at the interface of braid-mapping class...
arXiv:2603.02855v1 Announce Type: new Abstract: In this manuscript we set up the direct and inverse scattering problems for step-like traveling-wave solutions of the nonlinear Schr\"odinger...
arXiv:2603.02859v1 Announce Type: new Abstract: Vop\v{e}nka's Alternative Set Theory has been considered as a framework for modelling vague notions. This paper takes feasibility, pertaining to...
arXiv:2603.02863v1 Announce Type: new Abstract: Motivated by the results for Magic: The Gathering presented in [CBH20] and [Bid20], we study a computability problem related to...
arXiv:2603.02868v1 Announce Type: new Abstract: This paper focuses on the global stability of the 3D magneto-micropolar equations with partial viscosity in the torus $\mathbb T^3$....
arXiv:2603.02875v1 Announce Type: new Abstract: In this paper, we study relations among several types of Eulerian polynomials from a combinatorial viewpoint. We establish an identity...
arXiv:2603.02884v1 Announce Type: new Abstract: In this paper, we study the spectrality of the non-self-adjoint Dirac operator L(Q) with a complex-valued periodic matrix potential Q....
arXiv:2603.02890v1 Announce Type: new Abstract: We develop a Markov process viewpoint for discrete circular distributions motivated by directional-statistics settings where angles are observed on a...
arXiv:2603.02900v1 Announce Type: new Abstract: We reformulate the problem of finding conformal immersions of closed Riemannian surfaces in the language of the $h$-principle and we...
arXiv:2603.02905v1 Announce Type: new Abstract: We develop the direct scattering theory for the KdV equation with step-like finite-gap backgrounds under perturbations. More precisely, we consider...
arXiv:2603.02916v1 Announce Type: new Abstract: In this paper, the convergence of the solutions for a discretized linear state-based static peridynamic system to the corresponding continuous...