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arXiv:2511.13851v2 Announce Type: replace Abstract: We study long-time dynamics of the damped focusing cubic Klein-Gordon equation on a compact three-dimensional Riemannian manifold, together with its...
arXiv:2511.16522v2 Announce Type: replace Abstract: It was conjectured by Eells that the only harmonic maps $f : S^3 \to S^2$ are Hopf fibrations composed with...
arXiv:2512.02305v2 Announce Type: replace Abstract: This note proves orbifold versions of Kobayashi's theorem. The main result asserts that a compact K\"ahler orbifold with non-negative Ricci...
arXiv:2512.19094v2 Announce Type: replace Abstract: To meet the high-speed, low-latency, and low-complexity demand for optical interconnects, simplified maximum likelihood sequence estimation (MLSE) is proposed in...
arXiv:2601.00182v2 Announce Type: replace Abstract: We introduce a one-parameter family of intermediate topological pressures for nonautonomous dynamical systems which interpolate between the Pesin-Pitskel topological pressure...
arXiv:2601.00528v3 Announce Type: replace Abstract: We use topological methods to study complexity of deep computations and limit computations. We use topology of function spaces, specifically,...
arXiv:2601.03068v2 Announce Type: replace Abstract: Let $Y$ be an irreducible non-singular affine $G$-variety with a $2$-large action. We show that the Hamiltonian reduction $T^*Y/\!\!/\!\!/G$ is...
arXiv:2601.04183v3 Announce Type: replace Abstract: We consider the two-dimensional time-harmonic transmission problem for an impedance-matched (\rho = 1) right-angle penetrable wedge at refractive index ratio...
arXiv:2601.05066v2 Announce Type: replace Abstract: Let $K$ be an algebraically closed field of characteristic $0$ and $G$ a finite abelian group. For a $G$-graded $K$-algebra...
arXiv:2601.10359v2 Announce Type: replace Abstract: We derive an Ito-type change-of-variables formula for stochastic processes admitting a causal derivation-divergence representation. The result applies to a broad...
arXiv:2601.10996v2 Announce Type: replace Abstract: The main purpose of this short note, on the one hand, to is rigorize some part of the proof of...
arXiv:2601.11217v2 Announce Type: replace Abstract: We study model-free policy learning for discrete-time mean-field control (MFC) problems with finite state space and compact action space. In...
arXiv:2601.11312v2 Announce Type: replace Abstract: Utilizing the framework of quaternionic contact geometry, we define a sequence of Riemannian metrics $\{g_L\}$ on the quaternionic Heisenberg group...
arXiv:2601.12185v2 Announce Type: replace Abstract: In this paper, we sharpen a theorem of Artin to show that for a finite group, the dimension of the...
arXiv:2601.12371v2 Announce Type: replace Abstract: We study extensions and second cohomology of skew left braces via the natural semi-direct products associated with the skew left...
arXiv:2601.13506v2 Announce Type: replace Abstract: Fluid antenna system (FAS) leverages dynamic reconfigurability to unlock spatial degrees of freedom and reshape wireless channels. Blind interference alignment...
arXiv:2601.15213v2 Announce Type: replace Abstract: Let $(\Sigma^2,ds^2)$ be a compact Riemannian surface, possibly with boundary, and consider Schr\"odinger-type operators of the form $L=\Delta+V-aK$ together with...
arXiv:2601.16616v2 Announce Type: replace Abstract: We consider individuals of two species distributed over m patches, each with a hosting capacity $d_i N$ , where $d_i...
arXiv:2601.17392v2 Announce Type: replace Abstract: We develop a self contained stochastic perturbation theory for discrete generation and multivariate Ensemble Kalman filters. Unlike their continuous-time counterparts,...
arXiv:2601.17452v2 Announce Type: replace Abstract: We study dissipative weak (DW) solutions of the Euler equations of gas dynamics using the first-, second-, third-, fifth-, seventh-,...
arXiv:2601.18055v2 Announce Type: replace Abstract: We study convergence of operator families of the form $A_\beta = A + \beta B$ towards an effective operator defined...
arXiv:2601.18057v2 Announce Type: replace Abstract: In this note, we study Laplacians on graphs for which connectivity within certain subgraphs tends to infinity. Our main focus...
arXiv:2601.18355v2 Announce Type: replace Abstract: In this paper, we investigate a class of semilinear wave equations in non-cylindrical time-dependent domains, subject to exterior homogeneous Dirichlet...
arXiv:2601.18599v2 Announce Type: replace Abstract: The d'Arcais numbers are the triangular array $\{A(2,n,k)\, :\, n=0,1,\dots,\, k=0,\dots,n\}$, such that $\sum_{n=0}^{\infty} \sum_{k=0}^{n} A(2,n,k) x^k z^n/n! = ((z;z)_{\infty})^{-x}$....