Self-similar random fields

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

Integration of functions in a space with complex number of dimensions
Multiple Wiener-Ito integrals. With applications to limit theorems
Two-dimensional Ising correlations: Convergence of the scaling limit
Limit theorems for multidimensional Markov processes
A representation for self-similar processes
Holonomic quantum fields. I
Gaussian and their subordinates self-similar random generalized fields
Renormalizing the 3-dimensional voter model
Block-spins interactions in the Ising model
Multiple Wiener integral
Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
High level sojourns for strongly dependent Gaussian processes
Limit theorems for non-linear functionals of Gaussian sequences
Some sojourn time problems for strongly dependent Gaussian processes
Limit theorems for Fourier transforms of functionals of Gaussian sequences
On infinitely divisible self-similar random fields
The central limit theorem for Dyson's hierarchical model for small β
Infinite variance self-similar processes subordinate to a poisson measure
Weak convergence to fractional brownian motion and to the rosenblatt process
Painlevé functions of the third kind
Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence
Some limit theorems for partial sums of quadratic forms in stationary Gaussian variables
A limit theorem related to a new class of self similar processes
Convergence of integrated processes of arbitrary Hermite rank
Non-central limit theorems for non-linear functional of Gaussian fields
Semi-Stable Stochastic Processes
Semi-stable Markov processes. I
Fractional Brownian Motions, Fractional Noises and Applications
Invariant manifolds
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