Weighted polynomials and weighted pluripotential theory

DOI10.1090/S0002-9947-08-04607-2zbMath1166.32019arXivmath/0610330MaRDI QIDQ3623388

Thomas Bloom

Publication date: 17 April 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610330

Mathematics Subject Classification ID

Plurisubharmonic extremal functions, pluricomplex Green functions (32U35) Capacity theory and generalizations (32U20)

Related Items

Transfinite diameter notions in \(\mathbb C^N\) and integrals of Vandermonde determinants, Large deviation for outlying coordinates in \({\beta}\) ensembles, Delta-extremal Functions in Cn, Pluripotential theory and convex bodies, Supports of weighted equilibrium measures: complete characterization, Logarithmic potential theory and large deviation, Quantum ergodic sequences and equilibrium measures, A Christoffel function weighted least squares algorithm for collocation approximations, Voiculescu's entropy and potential theory, Determinantal point processes and fermions on complex manifolds: large deviations and bosonization, Pluripotential energy, Asymptotics for Christoffel functions of planar measures, Monge–Ampère measures of plurisubharmonic exhaustions associated to the Lie norm of holomorphic maps, Vector energy and large deviation

Cites Work

• Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity
• Orthogonal polynomials in C^n
• Extremal plurisubharmonic functions in $C^N$
• On series of homogeneous polynomials and their partial sums
• Capacity convergence results and applications to a Berstein-Markov inequality
• Robin functions and extremal functions
• Weighted pluripotential theory in C N
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