Convergence of critical oriented percolation to super-brownian motion above $4+1$ dimensions

Remco Van der Hofstad; Gordon Slade

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The survival probability for critical spread-out oriented percolation above $4 + 1$ dimensions. II. Expansion

Remco Van der Hofstad, Frank den Hollander, Gordon Slade (2007)

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Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder

Pietro Caputo, Dmitry Ioffe (2003)

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Long-range self-avoiding walk converges to α-stable processes

Markus Heydenreich (2011)

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We consider a long-range version of self-avoiding walk in dimension > 2( ∧ 2), where denotes dimension and the power-law decay exponent of the coupling function. Under appropriate scaling we prove convergence to brownian motion for ≥ 2, and to -stable Lévy motion for < 2. This complements results by Slade [ (1988) L417–L420], who proves convergence to brownian motion for nearest-neighbor self-avoiding walk in high dimension.

Extinction for two parabolic stochastic PDE's on the lattice

C. Mueller, E. Perkins (2000)

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Large deviations for the range of an integer valued random walk

Yuji Hamana, Harry Kesten (2002)

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Displaying similar documents to “Convergence of critical oriented percolation to super-brownian motion above 4 + 1 dimensions”

The survival probability for critical spread-out oriented percolation above 4 + 1 dimensions. II. Expansion

Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder

Long-range self-avoiding walk converges to α-stable processes

Extinction for two parabolic stochastic PDE's on the lattice

Large deviations for the range of an integer valued random walk

Displaying similar documents to “Convergence of critical oriented percolation to super-brownian motion above $4 + 1$ dimensions”

The survival probability for critical spread-out oriented percolation above $4 + 1$ dimensions. II. Expansion