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arXiv:2510.24364v3 Announce Type: replace Abstract: We show that the Zassenhaus decomposition for the exponential of the sum of two non-commuting operators, simplifies drastically when these...
arXiv:2511.01851v2 Announce Type: replace Abstract: We investigate locality of the supercritical regime for Bernoulli percolation on transitive graphs with polynomial growth, by which we mean...
arXiv:2511.01991v2 Announce Type: replace Abstract: We prove the convergence case of Khintchine's theorem, with general approximation functions that are not necessarily monotonic, for analytic nonplanar...
arXiv:2511.03055v3 Announce Type: replace Abstract: Among recent developments centered around Randomized Kaczmarz (RK), a row-sampling iterative projection method for large-scale linear systems, several adaptions to...
arXiv:2511.04660v3 Announce Type: replace Abstract: In this paper, we propose and study a multi-dimensional nonlocal active scalar equation of the form \begin{eqnarray*} \partial_t\rho+g\mathcal{R}_a\rho\cdot \nabla\rho= 0,~\rho(\cdot,0)=\rho_{0},...
arXiv:2511.05364v2 Announce Type: replace Abstract: In this paper we compare two methods for finding extremal eigenvalues and eigenvectors: the restarted Lanczos method and momentum accelerated...
arXiv:2511.05774v3 Announce Type: replace Abstract: The classical Bach tensor in four dimensions can be expressed as a linear combination of two independent, symmetric, divergence-free, quadratic-in-curvature...
arXiv:2511.07674v2 Announce Type: replace Abstract: A $1$-Lipschitz map between compact metric spaces $f\colon X\to Y$ induces a homomorphism of persistence modules on degree-$d$ Vietoris--Rips persistent...
arXiv:2511.07684v2 Announce Type: replace Abstract: We introduce a Nemytskii neural operator framework for nonlinear model reduction of parametrized steady-state partial differential equations. The method generalizes...
arXiv:2511.11135v3 Announce Type: replace Abstract: We consider an effective new method for solving trust-region and norm-regularization problems that arise as subproblems in many optimization applications....
arXiv:2511.11359v3 Announce Type: replace Abstract: Optimal transport (OT) and its entropy-regularized form (EOT) have become increasingly prominent computational problems, with applications in machine learning and...
arXiv:2511.11841v2 Announce Type: replace Abstract: In this article we establish certain variants of the Inverse Cluster Size problem. We introduce the notion of primitive extensions...
arXiv:2511.12926v3 Announce Type: replace Abstract: In two-dimensional unfoldings of homoclinic tangencies, the parameter space contains codimension one laminations whose leaves consist of maps with invariant...
arXiv:2511.17010v2 Announce Type: replace Abstract: We prove the geometric Bombieri-Lang conjecture for projective varieties which have finite maps to abelian varieties over function fields of...
arXiv:2511.17343v4 Announce Type: replace Abstract: We prove a sampling theorem for infinite-dimensional Paley-Wiener spaces on graphs which allows for stable frame reconstruction. We prove that...
arXiv:2511.17371v2 Announce Type: replace Abstract: A decorated vector bundle is a vector bundle equipped with a reduction of structure group to a complex reductive subgroup...
arXiv:2511.20230v2 Announce Type: replace Abstract: A non-associative superalgebra is called pre-symplectic if it is equipped with a non-degenerate, anti-symmetric bilinear form. It is called quasi-Frobenius...
arXiv:2511.20708v3 Announce Type: replace Abstract: Whereas Steiner systems $S(2,k,v)$ with block length $k \le 5$ have large amount of examples and the existence is established...
arXiv:2511.21913v2 Announce Type: replace Abstract: In this note, we propose a generalisation of G. Janelidze's notion of an ideally exact category beyond the Barr exact...
arXiv:2512.03518v2 Announce Type: replace Abstract: This paper proposes two novel wireless transmission schemes, namely reconfigurable intelligent surface (RIS)-assisted received adaptive spatial modulation (RASM) scheme and...
arXiv:2512.04132v4 Announce Type: replace Abstract: Binomial distributions capture the probabilities of `heads' outcomes when a (biased) coin is tossed multiple times. The coin may be...
arXiv:2512.04301v2 Announce Type: replace Abstract: We establish the existence of a regular functional $M$-position, in the sense of Pisier, for geometric log-concave functions. This provides...
arXiv:2512.09295v2 Announce Type: replace Abstract: We revisit the signal denoising problem through the lens of optimal transport: the goal is to recover an unknown scalar...
arXiv:2512.11405v4 Announce Type: replace Abstract: After a brief introduction to Ramanujan's method of summation, we give an expansion of the Riemann Zeta function in the...