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arXiv:2602.13080v1 Announce Type: cross Abstract: Diffusion-driven instability is a fundamental mechanism underlying pattern formation in spatially extended systems. In almost all existing works, diffusion across...
arXiv:2602.13095v1 Announce Type: cross Abstract: We present a rigorous and comprehensive classification of the asymptotic behavior of time-quasiperiodic Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equations under the assumption of...
arXiv:2602.13099v1 Announce Type: cross Abstract: A fundamental question asks how uniformly finite sets of pure quantum states can be distributed in a Hilbert space. The...
arXiv:2602.13104v1 Announce Type: cross Abstract: Random forests are widely used prediction procedures, yet are typically described algorithmically rather than as statistical designs acting on a...
arXiv:2602.13112v1 Announce Type: cross Abstract: Vanilla gradient methods are often highly sensitive to the choice of stepsize, which typically requires manual tuning. Adaptive methods alleviate...
arXiv:2602.13152v1 Announce Type: cross Abstract: We develop methodology to detect structural breaks in the slope function of a concurrent functional linear regression model for functional...
arXiv:2602.13160v1 Announce Type: cross Abstract: Determining the three-dimensional structure of a protein from its amino-acid sequence remains a fundamental problem in biophysics. The discrete Frenet...
arXiv:2602.13174v1 Announce Type: cross Abstract: Partial differential equations often contain unknown functions that are difficult or impossible to measure directly, hampering our ability to derive...
arXiv:1904.02588v2 Announce Type: replace Abstract: We first carry out the soliton sector quantization of the spatially cut-off $\phi^4_{1+1}$ theory with double well potential in the...
arXiv:2007.15402v3 Announce Type: replace Abstract: We consider the Hilbert-type operator defined by $$ H_{\omega}(f)(z)=\int_0^1 f(t)\left(\frac{1}{z}\int_0^z B^{\omega}_t(u)\,du\right)\,\omega(t)dt,$$ where $\{B^{\omega}_\zeta\}_{\zeta\in\mathbb{D}}$ are the reproducing kernels of the Bergman...
arXiv:2101.11184v5 Announce Type: replace Abstract: We investigate a category of quantum posets that generalizes the category of posets and monotone functions. Up to equivalence, its...
arXiv:2104.13728v5 Announce Type: replace Abstract: We study lattices acting on $\mathrm{CAT}(0)$ spaces via their commensurated subgroups. To do this we introduce the notions of a...
arXiv:2204.04556v4 Announce Type: replace Abstract: Let $A$ be an integral matrix and let $P$ be the convex hull of its columns. By a result of...
arXiv:2207.07623v3 Announce Type: replace Abstract: For any rigid analytic group variety $G$ over a non-archimedean field $K$ over $\mathbb Q_p$, we study $G$-torsors on adic...
arXiv:2207.09703v2 Announce Type: replace Abstract: Non-commutative crepant resolutions (NCCRs) are non-commutative analogues of the usual crepant resolutions that appear in algebraic geometry. In this paper...
arXiv:2304.07938v3 Announce Type: replace Abstract: We study properties of typical closed geodesics on expander surfaces of high genus, i.e. closed hyperbolic surfaces with a uniform...
arXiv:2305.01414v2 Announce Type: replace Abstract: We consider the vacuum Einstein field equations under the Belinski-Zakharov symmetry, which leaves the problem as a 1+1-dimensional quasilinear system...
arXiv:2306.03283v2 Announce Type: replace Abstract: We present an explicit expression of the cohomology complex of a constructible sheaf of abelian groups on the small \'etale...
arXiv:2309.02778v3 Announce Type: replace Abstract: Twistor CR manifolds, introduced by LeBrun, are Lorentzian (neutral) CR 5-manifolds defined as $\mathbb{P}^1$-bundles over 3-dimensional conformal manifolds. In this...
arXiv:2309.14676v2 Announce Type: replace Abstract: For any skew symmetric matrix over complex numbers, we introduce an EALA and it is called Skew Symmetric Extended Affine...
arXiv:2312.08325v4 Announce Type: replace Abstract: We prove that the spectral radius of a large random matrix $X$ with independent, identically distributed complex entries follows the...
arXiv:2401.11210v3 Announce Type: replace Abstract: Let $G$ be an elementary abelian $p$-group. In this paper, we calculate the $K_2$-groups of some quotient rings $\mathbb{Z}[G]/I$ for...
arXiv:2402.09903v2 Announce Type: replace Abstract: In 2019, Butler, Choi, Kim, and Seo introduced a new type of juggling card that represents multiplex juggling patterns in...
arXiv:2402.14501v2 Announce Type: replace Abstract: The homogeneous coordinate ring of the Grassmannian $\rm{Gr}(k,n)$ has a well-known cluster structure. There is a categorification of this cluster...