Harmonic morphisms and minimal submanifolds
arXiv:2603.01995v1 Announce Type: new Abstract: Harmonic morphisms, maps which preserve Laplace's equation, are intimately connected to the topic of minimal submanifolds. In this article we...
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arXiv:2603.01995v1 Announce Type: new Abstract: Harmonic morphisms, maps which preserve Laplace's equation, are intimately connected to the topic of minimal submanifolds. In this article we...
arXiv:2603.01996v1 Announce Type: new Abstract: Let $(\varphi_t)_{t\geq 0} $ a semigroup of holomorphic self-maps of the unit disk and $C_t f = f \circ \varphi_t...
arXiv:2603.02009v1 Announce Type: new Abstract: This paper investigates the critical quintic wave equation in a 3D bounded domain subject to locally distributed Kelvin-Voigt damping. The...
arXiv:2603.02013v1 Announce Type: new Abstract: We review second-order homogeneous linear differential equations with coefficient functions whose germs lie in a Hardy field (and hence are...
arXiv:2603.02014v1 Announce Type: new Abstract: Let $p$ be an odd prime. Let $\rho: G_F \to \mathrm{GL}_2(\overline{\mathbb{F}}_p)$ be a Galois representation of a totally real field...
arXiv:2603.02018v1 Announce Type: new Abstract: We investigate the behavior of functional countability and exponential separability in products and subspaces of topological spaces. We solve a...
arXiv:2603.02021v1 Announce Type: new Abstract: We prove an analog of Baxter's theorem for $SU(2)$-valued nonlinear Fourier transform (NLFT). That is, we prove that under certain...
arXiv:2603.02027v1 Announce Type: new Abstract: A viable spacetime is one that admits a complete timelike geodesic. It is shown that a causal diffeomorphism preserving the...
arXiv:2603.02031v1 Announce Type: new Abstract: Forward Error Correction (FEC) is used ubiquitously in the communication pipeline. We explore noncooperative decoding where we aim to recover...
arXiv:2603.02037v1 Announce Type: new Abstract: Let $E$ be a vector bundle and $S_a$, $S_b$ the Schur functors associated to partitions $a$ and $b$. Previously we...
arXiv:2603.02044v1 Announce Type: new Abstract: In this note we show that sharp Kolmogorov-type inequalities that estimate the uniform norm $\|f^{(k)}\|$ of the $k$-th derivative of...
arXiv:2603.02053v1 Announce Type: new Abstract: We consider the Blume-Capel spin model on a finite cylinder with reservoirs at the boundary. A model with spin variable...
arXiv:2603.02054v1 Announce Type: new Abstract: This paper aims to derive accurate asymptotic estimates for the exit time probabilities of scalar Ornstein-Uhlenbeck (OU) bridges. The exit...
arXiv:2603.02058v1 Announce Type: new Abstract: In this short note we prove Hilbert--Schmidt stability for graph products of abelian groups and $C^*$-algebras on chordal graphs. In...
arXiv:2603.02061v1 Announce Type: new Abstract: Accurate signal-to-interference-plus-noise ratio (SINR) estimation is essential for resource allocation in wireless systems, yet it is often hindered by limited...
arXiv:2603.02067v1 Announce Type: new Abstract: We establish a polynomial turnpike estimate for an optimal control problem consisting of a system of infinitely many controlled oscillators,...
arXiv:2603.02068v1 Announce Type: new Abstract: Let $A$ be a permutation invariant random matrix and $B$ another random matrix. We give a quantitative bound on the...
arXiv:2603.02086v1 Announce Type: new Abstract: We propose a reinforcement learning (RL) framework for the dynamic selection of the filter parameter in Evolve-Filter (EF) regularization strategies...
arXiv:2603.02088v1 Announce Type: new Abstract: This paper describes an approach to generating looping animations using the modular flow and elliptic functions. The modular flow is...
arXiv:2603.02093v1 Announce Type: new Abstract: We discuss a construction of families of hyperbolic rational homology spheres with coexact $1$-form spectral gap uniformly bounded below which...
arXiv:2603.02101v1 Announce Type: new Abstract: The antiferromagnetic Ising model samples subsets of vertices of a graph with weight decaying exponentially in the number of edges...
arXiv:2603.02103v1 Announce Type: new Abstract: This paper studies convex quadratic minimization problems in which each continuous variable is coupled with a binary indicator variable. We...
arXiv:2603.02107v1 Announce Type: new Abstract: In this paper, we study a dual analogue of the classical catenary within the class of admissible curves in the...
arXiv:2603.02111v1 Announce Type: new Abstract: We study Kakeya maximal operators associated with horizontal lines in finite Heisenberg groups $\mathbb H_n(\mathbb F_q)$. For the operator parameterized...