940 research outputs found
An interview with Millicent Baxter
No full textAuthor and mother of James K. Baxter talks of her life and family.A Radio New Zealand Sound Archive recording dubbed by the Stout Research Centre Literary Archive
Functionals of exponential Brownian motion and divided differences
No full textWe provide a surprising new application of classical approximation theory to a fundamental asset-pricing model of mathematical finance. Specifically, we calculate an analytic value for the correlation coefficient between
exponential Brownian motion and its time average, and we find the use of divided differences greatly elucidates formulae, providing a path to several new results. As applications, we find that this correlation coefficient is always at least 1/p2 and, via the Hermite–Genocchi integral relation, demonstrate that all moments of the time average are certain divided differences of the exponential function. We also prove that these moments agree with the somewhat more complex formulae obtained by Oshanin and Yor
Michael Rodriguez interviews writer Charles Baxter
No full textCharles Baxter talks about his book "The Feast of Love", the relationship between the landscape of Michigan and the setting of his novels, metaphysics in his novels, his career as both a writer and a college teacher, how a male author writes female characters, and voyeurism in his book. Baxter is interviewed by Michigan State University Librarian Michael Rodriguez. Part of the MSU Libraries' Michigan Writers Series
Iain Baxter : Landscape Works
No full textCatalogue to accompany Baxter’s exhibition of approximately 40 multidisciplinary landscape works (1965-1999) in painting, photography, printmaking, video and sculpture. Tupper’s foreword draws attention to the artist’s connections with Alberta and its landscape. The author also refers to the role of landscape in Baxter’s art as a “container for the social and the self.” The artist’s statement describes the various uses of landscape in his studies and work since the late 1950s. In her biographical essay, curator Townsend analyses Baxter’s artistic contribution over four decades, giving special attention to landscape and the impact of the N. E. Thing Company (founded with Ingrid Baxter in 1966) on the genre’s renewal. Bibliography 1p. 4 bibl. ref
Dynamical Yang-Baxter maps
No full textIn this work, we propose and investigate dynamical Yang- Baxter maps, some of which produce solutions to the quantum dynamical Yang-Baxter equation. Suppose that L is a loop and a group. If their unit elements coincide, then L gives birth to a bijective dynamical Yang-Baxter map from L×L to L×L whose dynamical parameter belongs to L. The above group L is abelian if and only if the corresponding dynamical Yang-Baxter map satisfies the unitary condition.IDS Number: 990C
Rapid evaluation of radial basis functions
No full textOver the past decade, the radial basis function method has been shown to produce high quality solutions to the multivariate scattered data interpolation problem. However, this method has been associated with very high computational cost, as compared to alternative methods such as finite element or multivariate spline interpolation. For example. the direct evaluation at M locations of a radial basis function interpolant with N centres requires O(M N) floating-point operations. In this paper we introduce a fast evaluation method based on the Fast Gauss Transform and suitable quadrature rules. This method has been applied to the Hardy multiquadric, the inverse multiquadric and the thin-plate spline to reduce the computational complexity of the interpolant evaluation to O(M + N) floating point operations. By using certain localisation properties of conditionally negative definite functions this method has several performance advantages against traditional hierarchical rapid summation methods which we discuss in detail
Preconditioned conjugate gradients, radial basis functions, and Toeplitz matrices
No full textAbstractRadial basis functions provide highly useful and flexible interpolants to multivariate functions. Further, they are beginning to be used in the numerical solution of partial differential equations. Unfortunately, their construction requires the solution of a dense linear system. Therefore, much attention has been given to iterative methods. In this paper, we present a highly efficient preconditioner for the conjugate gradient solution of the interpolation equations generated by gridded data. Thus, our method applies to the corresponding Toeplitz matrices. The number of iterations required to achieve a given tolerance is independent of the number of variables
Details on the author\u27s visit earlier this month to Baxter State Park, who found
No full textDetails on the author\u27s visit earlier this month to Baxter State Park, who found a park much changed from the one visited during the summer. The author notes that the smell of a snowmobile lingers for 20 minutes after it passes
Rota–Baxter Operators on Quadratic Algebras
No full textWe prove that all Rota–Baxter operators on a quadratic division algebra are trivial. For nonzero weight, we state that all Rota–Baxter operators on the simple odd-dimensional Jordan algebra of bilinear form are projections on a subalgebra along another one. For weight zero, we find a connection between the Rota–Baxter operators and the solutions to the alternative Yang–Baxter equation on the Cayley–Dickson algebra. We also investigate the Rota–Baxter operators on the matrix algebras of order two, the Grassmann algebra of plane, and the Kaplansky superalgebra.© The Author(s) 201
Baxter Q-operator and functional relations
No full textAbstractWe obtain the Baxter Q-operators in the Uq(slˆ2) invariant integrable models as a special limits of the quantum transfer matrices corresponding to different spins in the auxiliary space. We derive the Baxter equation from the well-known fusion relations for the transfer matrices. Our method is valid for an arbitrary integrable model corresponding to the quantum group Uq(slˆ2), for example for the XXZ-spin chain
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