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FINITE DIFFERENCE EQUATIONS AND CONVERGENCE RATES IN THE CENTRAL LIMIT THEOREM
Finite difference equations central limit theorem convergence rate interpolation theory
2009/9/18
We apply the theory of finite difference equations to
the central limit theorem, using interpolation of Banach spaces and
Fourier multipliers. Let S,T be a normalized sum of i.i.d. random vectors,
...
On Homogenization of Non-Divergence Form Partial Difference Equations
pde with random coecients homogenization
2009/4/24
In this paper a method for proving homogenization of divergence form elliptic equations is extended to the non-divergence case. A new proof of homogenization is given when the coefficients in the equa...
On Homogenization of Non-Divergence Form Partial Difference Equations
Homogenization Non-Divergence Partial Difference Equations
2009/4/7
In this paper a method for proving homogenization of divergence form elliptic equations is extended to the non-divergence case. A new proof of homogenization is given when the coefficients in the equa...
EXTREMES FOR SOLUTIONS TO STOCHASTIC DIFFERENCE EQUATIONS WITH REGULARLY VARYING TAILS
periodic stochastic difference equations extremal index point processes
2009/2/25
The so-called complete convergence theorem we prove enable us to give in detail the
weak limiting behavior of various functional of the underlying process including the
asymptotic distribution of up...