Results 71 to 80 of about 161 (146)

Gendered Harmony and Unsung Collections: Two Debussy Rabbit Holes

Music Analysis, EarlyView.
ABSTRACT This review article on Mark McFarland's The Musical Relationship between Claude Debussy and Igor Stravinsky (2024) offers a critical reading of this recent text and treats its content as a springboard for the exploration of two issues untapped in existing musicological discourse.
Rajan Lal
wiley   +1 more source

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson, Janne Nurminen, Mikko Salo   +2 more
wiley   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

Spectral geometry of harmonic maps into warped product manifolds II

International Journal of Mathematics and Mathematical Sciences, 2001
Let (Mn,g) be a closed Riemannian manifold and N a warped product manifold of two space forms. We investigate geometric properties by the spectra of the Jacobi operator of a harmonic map ϕ:M→N.
Gabjin Yun
doaj   +1 more source

Free semigroups of large critical exponent

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley   +1 more source

Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley   +1 more source

On dynamically consistent Jacobian inverse for non-holonomic robotic systems

Archives of Control Sciences, 2017
This paper presents the dynamically consistent Jacobian inverse for non-holonomic robotic system, and its application to solving the motion planning problem.
Ratajczak Joanna, Tchoń Krzysztof
doaj   +1 more source

GEOMETRY OF CLAIRAUT CONFORMAL RIEMANNIAN MAPS

Journal of the Australian Mathematical Society
AbstractThis article introduces the Clairaut conformal Riemannian map. This notion includes the previously studied notions of Clairaut conformal submersion, Clairaut Riemannian submersion, and the Clairaut Riemannian map as particular cases, and is well known in the classical theory of surfaces.
KIRAN MEENA, HEMANGI MADHUSUDAN SHAH, BAYRAM ŞAHIN   +2 more
openaire   +3 more sources

Volcanic Eruptions Reorganize Climate Teleconnections: Detection via Riemannian Covariance Fingerprinting

Geophysical Research Letters, Volume 53, Issue 15, 16 August 2026.
Abstract Standard detection and attribution of volcanic forcing targets spatial temperature anomalies. We show that the covariance structure of climate variability carries an independent volcanic fingerprint. Applying tangent‐space regression on the symmetric positive definite manifold SPD(8) to 40 years of eight teleconnection indices, we detect ...
Sloan Austermann
wiley   +1 more source

A simplified Proof of the Hopf Conjecture

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The use of the barycentre map between two copies of ℝn , the first one with a metric without conjugate points, the second one with the canonical flat metric, allows to prove in a simplified way the fact that Riemannian tori without conjugate points are ...
Sabatini Luca
doaj   +1 more source