TITLE

Two turning points in invariant theory

AUTHOR(S)
Rota, Gian-Carlo
PUB. DATE
January 1999
SOURCE
Mathematical Intelligencer;Winter99, Vol. 21 Issue 1, p20
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Focuses on the invariant theory. Program of translation of geometry to algebra; Definition of invariant theory; Significance of the apolar invariant; Grace's Theorem.
ACCESSION #
1478828

 

Related Articles

  • Modulation Equations: Stochastic Bifurcation in Large Domains. Blömker, D.; Hairer, M.; Pavliotis, G. A. // Communications in Mathematical Physics;Sep2005, Vol. 258 Issue 2, p479 

    We consider the stochastic Swift-Hohenberg equation on a large domain near its change of stability. We show that, under the appropriate scaling, its solutions can be approximated by a periodic wave, which is modulated by the solutions to a stochastic Ginzburg-Landau equation. We then proceed to...

  • Contact Process in a Wedge. Cox, J. Theodore; Marić, Nevena; Schinazi, Rinaldo // Journal of Statistical Physics;May2010, Vol. 139 Issue 3, p506 

    We prove that the supercritical one-dimensional contact process survives in certain wedge-like space-time regions, and that when it survives it couples with the unrestricted contact process started from its upper invariant measure. As an application we show that a type of weak coexistence is...

  • On the maximal operator associated with certain rotational invariant measures. Infante, Adrián; Soria, Fernando // Acta Mathematica Sinica;Jun2010, Vol. 26 Issue 6, p993 

    The aim of this work is to investigate the integrability properties of the maximal operator Mµ, associated with a non-doubling measure µ defined on ℝ n. We start by establishing for a wide class of radial and increasing measures µ, that Mµ is bounded on all the spaces L(ℝ...

  • Piecewise Linear Probability Density Functions of Invariant Measures for Position Dependent Random Maps. Islam, Shafiqul // Global Journal of Pure & Applied Mathematics;2007, Vol. 3 Issue 3, p363 

    A position dependent random map is a discrete-time dynamical system consisting of a number of transformations such that the probability of selecting a transformation is a function of position. In this paper we describe a method of approximating piecewise linear invariant densities of absolutely...

  • ON THE DEFINITION OF RELATIVE PRESSURE FOR FACTOR MAPS ON SHIFTS OF FINITE TYPE. KARL PETERSEN; SUJIN SHIN // Bulletin of the London Mathematical Society;Aug2005, Vol. 37 Issue 4, p601 

    The relationship between two natural definitions of the relative pressure function, for a locally constant potential function and a factor map from a shift of finite type, is clarified by showing that they coincide almost everywhere with respect to every invariant measure. With a suitable...

  • TANNAKA-KREĬIN DUALITY FOR COMPACT QUANTUM HOMOGENEOUS SPACES. I. GENERAL THEORY. KENNY DE COMMER; MAKOTO YAMASHITA // Theory & Applications of Categories;2013, Vol. 28 Issue 31, p1099 

    An ergodic action of a compact quantum group G on an operator algebra A can be interpreted as a quantum homogeneous space for G. Such an action gives rise to the category of finite equivariant Hilbert modules over A, which has a module structure over the tensor category Rep(G) of...

  • Every Continuous Operator Has an Invariant Measure. Toom, André // Journal of Statistical Physics;Nov2007, Vol. 129 Issue 3, p555 

    We prove the existence of an invariant measure for a large class of random processes with discrete time without assuming their linearity. Our main examples are “processes with variable length”, in which components may appear and disappear in the course of functioning. One of these...

  • The Nonexistence of an Invariant Measure for an Inhomogeneous Ellipsoid Rolling on a Plane. Borisov, A. V.; Mamaev, I. S. // Mathematical Notes;May/Jun2005, Vol. 77 Issue 5/6, p855 

    In this paper, we obtain new conditions for the nonexistence of an invariant measure for an inhomogeneous ellipsoid with special distribution of mass rolling on an absolutely rough plane. They supplement earlier results on the absence of a measure for a rolling Celtic stone.

  • Algorithmic information for interval maps with an indifferent fixed point and infinite invariant measure. Bonanno, Claudio; Galatolo, Stefano // Chaos;Sep2004, Vol. 14 Issue 3, p756 

    Measuring the average information that is necessary to describe the behavior of a dynamical system leads to a generalization of the Kolmogorov–Sinai entropy. This is particularly interesting when the system has null entropy and the information increases less than linearly with respect to...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics