scholarly journals Quantization in Geometric Pluripotential Theory

2019 ◽  
Vol 73 (5) ◽  
pp. 1100-1138 ◽  
Author(s):  
Tamás Darvas ◽  
Chinh H. Lu ◽  
Yanir A. Rubinstein
Keyword(s):  
Pluripotential Theory

Weighted pluripotential theory in C N

2003 ◽  
Vol 125 (1) ◽  
pp. 57-103 ◽  
Author(s):  
Thomas Bloom ◽  
Norman Levenberg
Keyword(s):  
Pluripotential Theory

scholarly journals Open problems in pluripotential theory

2016 ◽  
Vol 61 (7) ◽  
pp. 902-930 ◽  
Author(s):  
S. Dinew ◽  
V. Guedj ◽  
A. Zeriahi
Keyword(s):  
Open Problems ◽  
Pluripotential Theory

scholarly journals Pluripotential theory for convex bodies in RN

2004 ◽  
Vol 250 (1) ◽  
pp. 91-111 ◽  
Author(s):  
D. Burns ◽  
N. Levenberg ◽  
S. Ma’u
Keyword(s):  
Convex Bodies ◽  
Pluripotential Theory

Random iteration in ${\mathbf P}^{\bm{k}}$

2000 ◽  
Vol 20 (4) ◽  
pp. 1091-1109 ◽  
Author(s):  
JOHN ERIK FORNÆSS ◽  
BRENDAN WEICKERT
Keyword(s):  
Exceptional Set ◽  
Pluripotential Theory ◽  
Random Iteration ◽  
Push Forward ◽  
Slight Amount

We develop a pluripotential theory for random iteration on ${\mathbf P}^k$. We show the existence of a positive closed $(1,1)$ current and a measure on ${\mathbf P}^k$ which are invariant, in a certain sense, and which attract all positive closed $(1,1)$ currents and all measures, respectively, under normalized pull-back and averaging by the maps. Thus the concept of an exceptional set disappears as soon as we allow a slight amount of randomness in our system. We also consider the problem of push-forward of measures, and describe certain limiting measures in this case also, supported near the attractors for the perturbed map.

A Counterexample to the "Fine" Problem in Pluripotential Theory

1995 ◽  
Vol 123 (12) ◽  
pp. 3677
Author(s):  
Urban Cegrell ◽  
Evgeny A. Poletsky
Keyword(s):  
Pluripotential Theory

Pluripotential Theory

1993 ◽  
Vol 25 (4) ◽  
pp. 398-400
Author(s):  
T. J. Ransford
Keyword(s):  
Pluripotential Theory
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