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4. Analytical linear toy model. In this section we study the VLKF for the followingcoupled linear skew product system for two oscillatorsx 2 R2, y 2 R2:. ... Note that the skewproduct nature of the system (12) is not special in thesense that a nonskew
www.maths.usyd.edu.au/u/gottwald/preprints/GottwaldMitchellReich_MWR2011.pdf

EXISTENCE, UNIQUENESS AND REGULARITY OF SOLUTIONS TO THESTOCHASTIC LANDAU-LIFSHITZ-SLONCZEWSKI ...

x). By (35), the left term in the inner product (37) can be simplified as. ... Recallthat the right term in the inner product (37) is h(u hu) = u+hu+ by (35).
www.maths.usyd.edu.au/u/pubs/publist/preprints/2022/goldys-4.pdf

Combinatorial bases for representations of the Lie superalgebra glm|n

A natural analogue of the Poincaré–Birkhoff–Witt theorem. holds for the Yangian Y(gln). ... ζ. with the product taken in the increasing order of j is the highest.
www.maths.usyd.edu.au/u/alexm/talks/comb-bases.pdf

Opposition diagrams for automorphisms of small spherical buildings James ...

This geometry forms a natural counterpart to the more familiar fixed element geometryFix(θ), however by comparison very little is known about Opp(θ).
www.maths.usyd.edu.au/u/jamesp/18.pdf

UNIVERSAL GRADED SPECHT MODULES FOR CYCLOTOMIC HECKE ALGEBRAS ALEXANDER ...

LetM N be the outer tensor product of the Rα-module M and the Rβ-moduleN. ... the products of the τr to the correspondingproducts of the σr is unitriangular.
www.maths.usyd.edu.au/u/pubs/publist/preprints/2011/kleshchev-8.pdf

Characteristic maps for the Brauer algebra A. I. Molev ...

the symmetric groups. There are two natural analogues of this map involving the. ... After canceling commonfactors, the first part of the product will take the form.
www.maths.usyd.edu.au/u/pubs/publist/preprints/2011/molev-25.pdf

SPECTRAL GALERKIN METHODS FOR TRANSFER OPERATORS IN UNIFORMLY EXPANDING ...

by evaluating the natural finite-order approximation of formula (10), usingClenshaw-Curtis quadrature.
www.maths.usyd.edu.au/u/caro/preprints/W17S-preprint.pdf

E:\RCD\RCD07_06\FINAL\RCD_06_07.dvi

Λ0 is a direct product of two figures eight (or B atoms in the terminology of Fomenko). ()() ... Λ0 is the product of a figure eight and a “figure eight with two nodes” (a D1 atom),quotiented by Z/2Z acting on each factor as the central symmetry.
www.maths.usyd.edu.au/u/dullin/preprints/HypeHype.pdf

Model reduction for the collective dynamics of globally coupledoscillators: ...

iC ωi = 0. This is true for finite networks if the natural frequencies. ... the red ticks repre-senting natural frequencies not belonging to C′(δ,N).
www.maths.usyd.edu.au/u/gottwald/preprints/asin_CC_revision.pdf

Center of the quantum affine vertex algebra in type ...

the form (2.5) in the multiple tensor product algebra. EndCN. EndCN︸ ︷︷ ︸m. ... We also adopt the superscript notation for multiple. tensor products of the form.
www.maths.usyd.edu.au/u/pubs/publist/preprints/2016/jing-7.pdf