Results 1  10
of
1,167
Solving Systems of Polynomial Equations
 AMERICAN MATHEMATICAL SOCIETY, CBMS REGIONAL CONFERENCES SERIES, NO 97
, 2002
"... One of the most classical problems of mathematics is to solve systems of polynomial equations in several unknowns. Today, polynomial models are ubiquitous and widely applied across the sciences. They arise in robotics, coding theory, optimization, mathematical biology, computer vision, game theory, ..."
Abstract

Cited by 221 (14 self)
 Add to MetaCart
One of the most classical problems of mathematics is to solve systems of polynomial equations in several unknowns. Today, polynomial models are ubiquitous and widely applied across the sciences. They arise in robotics, coding theory, optimization, mathematical biology, computer vision, game theory
The market game: existence and structure of equilibrium
 Journal of Mathematical Economics
, 1992
"... We analyze the canonical market game. There are e commodities, a single inside money, L markets in which commodities are exchanged for inside money, and n consumers. Each consumer’s trategy is the nonnegative vector of his commodity offers and his money bids. Given endowments and sufftciently large ..."
Abstract

Cited by 40 (5 self)
 Add to MetaCart
We analyze the canonical market game. There are e commodities, a single inside money, L markets in which commodities are exchanged for inside money, and n consumers. Each consumer’s trategy is the nonnegative vector of his commodity offers and his money bids. Given endowments and sufftciently large
Learning in Perturbed Asymmetric Games
, 2004
"... We investigate the stability of mixed strategy equilibria in 2 person (bimatrix) games under perturbed best response dynamics. A mixed equilibrium is asymptotically stable under all such dynamics if and only if the game is linearly equivalent to a zero sum game. In this case, the mixed equilibrium i ..."
Abstract

Cited by 27 (2 self)
 Add to MetaCart
We investigate the stability of mixed strategy equilibria in 2 person (bimatrix) games under perturbed best response dynamics. A mixed equilibrium is asymptotically stable under all such dynamics if and only if the game is linearly equivalent to a zero sum game. In this case, the mixed equilibrium
SOME REMARKS ON GEOMETRIC SIMPLE CONNECTIVITY IN DIMENSION FOUR  Part A
, 2007
"... The present paper contains some complements and comments to the longer article Geometric simple connectivity in smooth four dimensional differential Topology, Part A, by the first author. Its aim is to be a useful companion when reading that article, and also to help in understand how it fits into t ..."
Abstract
 Add to MetaCart
The present paper contains some complements and comments to the longer article Geometric simple connectivity in smooth four dimensional differential Topology, Part A, by the first author. Its aim is to be a useful companion when reading that article, and also to help in understand how it fits
A codimensiontwo resonant bifurcation from a heteroclinic cycle with complex eigenvalues, Dyn
 Syst
"... with complex eigenvalues ..."
Bounds on projective dimension
, 2005
"... In the study of ideals in polynomial rings over a field, one can glean a great deal of the properties and the invariants of a homogeneous ideal from its minimal graded free resolution. By a classical result of David Hilbert, which dates back to the nineteenth century, these resolutions are always fi ..."
Abstract

Cited by 12 (4 self)
 Add to MetaCart
finite and their length is bounded above by the dimension of the ring. In this thesis we consider the question whether the projective dimension (or equivalently, the CastelnuovoMumford regularity) of an ideal can be bounded solely in terms of its number of generators and the degrees of those generators
Intersection theory, integrable hierarchies and topological field theory
, 1992
"... In these lecture notes we review the various relations between intersection theory on the moduli space of Riemann surfaces, integrable hierarchies of KdV type, matrix models, and topological field theory. We focus in particular on the question why matrix integrals of the type considered by Kontsevic ..."
Abstract

Cited by 118 (5 self)
 Add to MetaCart
In these lecture notes we review the various relations between intersection theory on the moduli space of Riemann surfaces, integrable hierarchies of KdV type, matrix models, and topological field theory. We focus in particular on the question why matrix integrals of the type considered by Kontsevich naturally appear as τfunctions of integrable hierarchies related to topological minimal models.
Results 1  10
of
1,167