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PAIR EXCITATIONS AND THE MEAN FIELD APPROXIMATION OF INTERACTING BOSONS, I
PAIR EXCITATIONS MEAN FIELD APPROXIMATION
2015/10/15
In our previous work [20],[21] we introduced a correction to the mean eld approximation of interacting Bosons. This
correction describes the evolution of pairs of particles that leave
the condensat...
Multiplying Pessimistic Estimators:Deterministic Approximation of Max TSP and Maximum Triangle Packing
derandomization approximation algorithms pessimistic estimators maximum traveling salesman problem
2012/12/3
We give a generalization of the method of pessimistic estimators, in which we compose estimators by multiplying them. We give conditions on the pessimistic estimators of two expectations, under which ...
Default Risk Modeling Beyond the First-Passage Approximation. I. Extended Black-Cox Model
Default Risk Modeling First-Passage Approximation Black-Cox Model
2010/4/27
We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firms ability to avoid default even if companys liabilities momentaril...
Approximation, Numerical Differentiation and Integration Based on Taylor Polynomial
Degree of approximation Taylor polynomial $P_n$-simple functionals least concave majorant of $omega(f,cdot)$
2010/1/22
We represent new estimates of errors of quadrature formula, formula of numerical differentiation and approximation using Taylor polynomial. To measure the errors we apply representation of the remaind...