Broman, Erik I; Chalmers University Of Technology; Broman@math.chalmers.se, Camia, Federico; Vrije Universiteit Amsterdam; Fede@few.vu.nl
We study Mandelbrot's percolation process in dimension d ≥ 2. The process generates random fractal sets by an iterative procedure which starts by dividing the unit cube [0,1]d in Nd subcubes, and...
Broman, Erik I., Camia, Federico
We study Mandelbrot's percolation process in dimension $d \geq 2$. The process generates random fractal sets by an iterative procedure which starts by dividing the unit cube $[0,1]^d$ in $N^d$...
The ordinary contact process is used to model the spread of a disease in a population. In this model, each infected individual waits an exponentially distributed time with parameter 1 before becoming...
Broman, Erik I., Steif, Jeffrey E.
In this paper we will investigate dynamic stability of percolation for the stochastic Ising model and the contact process. We also introduce the notion of downward and upward $\epsilon$-movability...
Dynamical stability of percolation for some interacting particle systems and ɛ-movability (2006)
Broman, Erik I., Steif, Jeffrey E.
In this paper we will investigate dynamic stability of percolation for the stochastic Ising model and the contact process. We also introduce the notion of downward and upward ɛ-movability which will...
Refinements of stochastic domination (2005)
Broman, Erik I., Haggstrom, Olle, Steif, Jeffrey E.
In a recent paper by two of the authors, the concepts of upwards and downwards $\epsilon$-movability were introduced, mainly as a technical tool for studying dynamical percolation of interacting...
One-dependent trigonometric determinantal processes are two-block-factors (2005)
Given a trigonometric polynomial f:[0,1]\to[0,1] of degree m, one can define a corresponding stationary process {X_i}_{i\in Z} via determinants of the Toeplitz matrix for f. We show that for m=1 this...
One-dependent trigonometric determinantal processes are two-block-factors (2005)
Given a trigonometric polynomial f:[0,1]→[0,1] of degree m, one can define a corresponding stationary process {Xi}i∈ℤ via determinants of the Toeplitz matrix for f. We show that for m=1 this...