Results 281 to 290 of about 996,598 (373)

Splitting the difference: Computations of the Reynolds operator in classical invariant theory

Bulletin of the London Mathematical Society, EarlyView.
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley   +1 more source

On some counting polynomials and energy properties of superphenalene and supertriphenylene. [PDF]

Sci Rep
Arulperumjothi M, Subramanian V, Prabhu S, Imran M.   +3 more
europepmc   +1 more source

Character sum, reciprocity, and Voronoi formula

Bulletin of the London Mathematical Society, EarlyView.
Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley   +1 more source

Patterning Fidelity Enhancement and Aberration Mitigation in EUV Lithography Through Source-Mask Optimization. [PDF]

Micromachines (Basel)
Wang Q, Wu Q, Li Y, Liu X, Li Y.
europepmc   +1 more source

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, EarlyView.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

Decomposed Gaussian Processes for Efficient Regression Models with Low Complexity. [PDF]

Entropy (Basel)
Fradi A, Tran TT, Samir C.
europepmc   +1 more source

Stroke and motor outcomes are associated with regional and age‐specific changes in periodic and aperiodic cortical activity

Experimental Physiology, EarlyView.
Abstract Historically, stroke and ageing have been associated with changes in narrow‐band periodic neuronal activity, but recent work has highlighted the importance of broad‐band aperiodic activity. Aperiodic activity is represented by the 1/f slope of power spectral density generated by cortical activity.
Asher J. Albertson, Eric C. Landsness, Margaret Eisfelder, Brittany M. Young, Bradley Judge, Matthew R. Brier, Matthew J. Euler, Steven C. Cramer, Jin‐Moo Lee, Keith R. Lohse   +9 more
wiley   +1 more source

Legendre polynomial transformation and energy-weighted random forests for sequential data classification. [PDF]

Sci Rep
Olaniran OR, Alghamdi FM, Alharbi NM, Abd-Elmougod GA, Alzubaidi S, Muse AH.   +5 more
europepmc   +1 more source

Uncertainty quantification via polynomial chaos expansion of myocardial fibre orientation and cardiac activation patterns

The Journal of Physiology, EarlyView.
Abstract figure legend Graphical representation of methods. We implemented three biventricular geometric models (Zenger et al., 2020) with rule‐based myocardial fibre orientations (Bayer et al., 2018). We evaluated variability in the fibre orientation via four sets of parameter distributions to determine the role of the primary and imbrication angles ...
Lindsay C. R. Tanner, Anna Busatto, Jake A. Bergquist, Wilson W. Good, Brian Zenger, Gernot Plank, Akil Narayan, Karli Gillette, Rob S. MacLeod   +8 more
wiley   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source