Mixed motives and linear forms in the Catalan constant
Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari +2 more
wiley +1 more source
Canonical analysis based on scatter matrices. [PDF]
In this paper, the influence functions and limiting distributions of the canonical correlations and coefficients based on affine equivariant scatter matrices are developed for elliptically symmetric distributions.
Croux, Christophe +4 more
core
Maximum likelihood estimation of log-affine models using detailed-balanced reaction networks. [PDF]
Henriksson O +3 more
europepmc +1 more source
On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension
Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
wiley +1 more source
Three-torsion subgroups and wild conductor exponents of plane quartics. [PDF]
Lupoian E, Rawson J.
europepmc +1 more source
Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method
ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur +5 more
wiley +1 more source
An improved blind watermarking scheme for color image copyright protection using Hahn moments. [PDF]
Elbatawy NI +3 more
europepmc +1 more source
Robust Broadband Differential Beamforming for Fully Steerable Linear Superarrays with Prescribed Nulls. [PDF]
Wang Y, Zhang Y, Ding J, Ning J, Zhu Q.
europepmc +1 more source
Positive equilibria in mass action networks: geometry and bounds. [PDF]
Banaji M, Feliu E.
europepmc +1 more source
Maximally mutable Laurent polynomials. [PDF]
Coates T +3 more
europepmc +1 more source

