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Majority dynamics on trees and the dynamic cavity method
Voters independent distribution random variables the initialization
2015/8/20
An elector sits on each vertex of an in nite tree of degree k, and has to decide between two alternatives.At each time step, each elector switches to the opinion of the majority of her neighbors. We a...
A New Method of Data Compression in Multisensor Estimation Fusion
Parameter estimation data compression Bayesian decision
2011/11/7
Consider the decentralized estimation of an unknown parameter by bandwidth constrained sensor network with a fusion center. Local sensors make observations which are linearly scaled versions of these ...
A regression Monte-Carlo method for Backward Doubly Stochastic Differential Equations
regression Monte-Carlo method Stochastic Differential Equations Probability
2011/8/30
Abstract: This paper extends the idea of E.Gobet, J.P.Lemor and X.Warin from the setting of Backward Stochastic Differential Equations to that of Backward Doubly Stochastic Differential equations. We ...
A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method
solvability vacuum Einstein constraint equations conformal method
2011/3/2
Let (M, g) be a compact Riemannian manifold on which a tracefree and divergence-free 2 W1,p and a positive function 2 W1,p, p > n,are fixed. In this paper, we study the vacuum Einstein constraint ...
Extensions of Dirac chord method with quasi-probability distributions
Extensions of Dirac chord method quasi-probability distributions
2011/2/24
The Dirac chord method may be suitable in different areas of physics for the repre-sentation of certain six-dimensional integrals for a convex body using the probability density of the chord length di...
A small probabilistic universal set of starting points for finding roots of complex polynomials by Newton's method
small probabilistic universal set starting points finding roots of complex polynomials Newton's method
2010/12/3
We specify a small set, consisting of O(d(log log d)2) points,that intersects the basins under Newton's method of all roots of all (suitably normalized) complex polynomials of xed degrees d, with arb...
A comprehensive method for exotic option pricing
by-product pricing formulas exotic options
2010/4/27
This work illustrates how several new pricing formulas for exotic options can be derived within a Levy framework by employing a unique pricing expression. Many existing pricing formulas of the traditi...
Probabilistic Transformation Method in Reliability Analysis
Finite element method Probabilistic methods Reliability analysis Sensitivity Transformation method
2009/10/9
A technique is presented in order to evaluate the probability of failure in analytical form instead of approximation methods like FORM/SORM and no series expansion is involved in this expression. This...
This paper discusses the optimal preconditioning in the domain
decomposition method for Wilson element. The process of the
preconditioning is composed of the resolution of a small scale global
prob...
This paper is concerlled with the investigation of a twrvparametric linear stationary iterative method, called Modified Extrapolated Jacobi (MEJ) method, for solving linear systems Ax = b, where A is ...