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arXiv:2602.05210v1 Announce Type: new Abstract: In this paper, we consider the uniqueness of STFT phase retrieval with two window functions. We show that a complex-valued...
arXiv:2602.05225v1 Announce Type: new Abstract: We consider the problem of estimating the Fr{\'e}chet and conditional Fr{\'e}chet mean from data taking values in separable metric spaces....
arXiv:2602.05254v1 Announce Type: new Abstract: Capsets are subsets of $\mathbb{F}_3^n$ with no three points on a line and a capset is complete if it is...
arXiv:2602.05259v1 Announce Type: new Abstract: The population $\mathrm{KL}_{\inf}$ is a fundamental quantity that appears in lower bounds for (asymptotically) optimal regret of pure-exploration stochastic bandit...
arXiv:2602.05264v1 Announce Type: new Abstract: This paper concerns the initial-boundary-value problem (IBVP) of the compressible Magnetohydrodynamic (MHD) equations in 3D exterior domains with Navier-slip boundary...
arXiv:2602.05267v1 Announce Type: new Abstract: For planar graphs, it is well known that high connectivity implies a Hamiltonian cycle and hence any 4-connected planar graph...
arXiv:2602.05272v1 Announce Type: new Abstract: We consider the problem of quickest changepoint detection under the Average Run Length (ARL) constraint where the pre-change and post-change...
arXiv:2602.05276v1 Announce Type: new Abstract: The author has been interested in regions surrounded by real algebraic curves of degree $1$ or $2$ in the plane....
arXiv:2602.05283v1 Announce Type: new Abstract: We revisit the following nonlinear Schr\"odinger system \begin{align*}\begin{cases} -\epsilon^{2}\Delta u +P(x) u= \mu_1 u^3 +\beta uv^2, &~\text{in}\;\mathbb {R}^3,\\ -\epsilon^{2}\Delta v+Q(x)...
arXiv:2602.05284v1 Announce Type: new Abstract: We answer a question posed by Love asking about a correspondence between isogenies from a supersingular elliptic curve to its...
arXiv:2602.05290v1 Announce Type: new Abstract: Using techniques at the intersection of deformation/rigidity theory, geometric group theory, and the theory of $C^*$-algebras, we construct a continuum...
arXiv:2602.05294v1 Announce Type: new Abstract: We present a unified extension of two sets of criteria for high-fugacity crystallization in hard-core lattice systems developed previously by...
arXiv:2602.05303v1 Announce Type: new Abstract: We establish two classification theorems for Willmore surfaces in $\mathbb{S}^2 \times \mathbb{S}^2$. Firstly, we prove that a Willmore surface which...
arXiv:2602.05306v1 Announce Type: new Abstract: We present an end-to-end framework for generating solutions to combinatorial optimization problems with unknown components using transformer-based sequence-to-sequence neural networks....
arXiv:2602.05314v1 Announce Type: new Abstract: For a regular map $F$ from a complex smooth affine variety $X$ to $\mathbb A^r_\mathbb C$, we construct generalized nearby-cycle...
arXiv:2602.05317v1 Announce Type: new Abstract: We study a class of stochastic time-fractional equations on $\mathbb{R}^d$ driven by a centered Gaussian noise, involving a Caputo time...
arXiv:2602.05320v1 Announce Type: new Abstract: We study two extended Bose-Hubbard-type Hamiltonians representing bosonic networks restricted to the graph of a cube. For both Hamiltonians, we...
arXiv:2602.05326v1 Announce Type: new Abstract: The study of the flag variety $\mathrm{Fl}_n$ and its subvarieties, including Schubert and Richardson varieties, plays a fundamental role in...
arXiv:2602.05328v1 Announce Type: new Abstract: We consider reaction-diffusion equations of the form \begin{equation*} u_t - d u_{xx} = f(t,u), \quad t>0,\ \ x \in [g(t),...
arXiv:2602.05331v1 Announce Type: new Abstract: This paper investigates the long-time dynamics of a nonlocal epidemic model with free boundaries, where a pathogen with density $u(t,x)$...
arXiv:2602.05336v1 Announce Type: new Abstract: Many stochastic Rosenzweig--MacArthur predator--prey models inject ad hoc independent (diagonal) noise and therefore cannot encode the event-level coupling created by...
arXiv:2602.05341v1 Announce Type: new Abstract: Neural operators have shown remarkable performance in approximating solutions of partial differential equations. However, their convergence behavior under grid refinement...
arXiv:2602.05357v1 Announce Type: new Abstract: Second-order variational properties have been shown to play important theoretical and numerical roles for different classes of optimization problems. Among...
arXiv:2602.05361v1 Announce Type: new Abstract: In this paper, we study the relationship between general maximum principle and dynamic programming principle for risk-sensitive stochastic optimal control...