Browsing Department of Mathematics by Title
Now showing items 11-30 of 35
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A Fatou- type theorem for harmonic functions on symmetric spaces
(American Mathematical Society, 1968) -
Functions on the model orbit in E8
(American Mathematical Society, 1988)We decompose the ring of regular functions on the unique coadjoint orbit for complex E8 of dimension 128, finding that every irreducible representation appears exactly once. This confirms a conjecture of McGovern. We also ... -
A fundamental relation between phase and group velocity, and application to the failure of perfectly matched layers in backward-wave structures
(American Physical Society, 2009-06-11)We demonstrate that the ratio of group to phase velocity has a simple relationship to the orientation of the electromagnetic field. In nondispersive materials, opposite group and phase velocity corresponds to fields that ... -
Fundamental solutions of invariant differential operators on symmetric spaces
(American Mathematical Society, 1963) -
Grassmannian packings
(2023-01-08)This table of Grassmannian packings was created by N. J. A. Sloane based on joint work with R. H. Hardin and J. H. Conway in "Packing lines, planes, etc.: packings in Grassmannian spaces" (Experiment. Math. 5 (1996), ... -
Induced-charge electro-osmosis
(Cambridge University Press, 2004)We describe the general phenomenon of âinduced-charge electro-osmosis’ (ICEO) – the nonlinear electro-osmotic slip that occurs when an applied field acts on the ionic charge it induces around a polarizable surface. ... -
Invariant differential equations on homogeneous manifolds
(American Mathematical Society, 1977) -
Maslov theory and singularities
(2013-02-07) -
Modular bootstrap data
(2020-06-03)This data set includes the numerical data from the papers "High-dimensional sphere packing and the modular bootstrap" (by Afkhami-Jeddi, Cohn, Hartman, de Laat, and Tajdini) and "Free partition functions and an averaged ... -
Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups
(American Mathematical Society, 1973) -
The Picard Scheme
(2013-09)This article introduces, informally, the substance and the spirit of Grothendieck's theory of the Picard scheme, highlighting its elegant simplicity, natural generality, and ingenious originality against the larger ... -
Point configurations minimizing harmonic energy on spheres
(2021-06-13)This data set contains updated numerical data for the paper "Experimental study of energy-minimizing point configurations on spheres" (Experiment. Math. 18 (2009), no. 3, 257-283). -
Radon-Fourier transforms on symmetric spaces and related group representations
(American Mathematical Society, 1965) -
Response to Steele Prize Award
(American Mathematical Society, 1988) -
Sloane's tables of point configurations on spheres
(2023-01-07)These tables of point configurations on spheres were created by N. J. A. Sloane based on joint work with R. H. Hardin, W. D. Smith, and others. Sloane has since retired from AT&T Labs, and Henry Cohn has taken over maintaining ... -
Small spherical and projective codes
(2022-05-23)This data set describes the best spherical and real projective codes that are known to exist (to the best of my knowledge), for up to 32 points on spheres or 16 lines through the origin in the real projective case. It ... -
Some results on invariant theory
(American Mathematical Society, 1962) -
Strictly small representations and a reduction theorem for the unitary dual
(American Mathematical Society, 2001)To any irreducible unitary representation X of a real reductive Lie group we associate in a canonical way, a Levi subgroup Gsu and a representation of this subgroup. Assuming a conjecture of the authors on the infinitesimal ... -
Table of kissing number bounds
(2024-01-16)This table shows the best lower and upper bounds known for the kissing number in Euclidean spaces of dimensions 1 through 48 and 72. -
Table of sphere packing density bounds
(2024-01-15)This table shows the best lower and upper bounds known for the packing density of congruent spheres in Euclidean spaces of dimensions 1 through 48, 56, 64, and 72.