We study the existence of percolation in the model constructed by a superposition of a countable number of so-called Poisson sticks models. We prove that if there is no percolation in initial model and the rescaling parameter is large enough then there is no percolation in this multiscale model. Key words: Critical probability; multiscale percolation; Poisson sticks. 1 Introduction an
Consider the standard continuous percolation in R 4 , and choose the parameters so that the induce...
We introduce a class of discrete-continuous percolation models and an efficient Monte Carlo algorith...
We present the main results of a study for the existence of vacant and occupied unbounded connected ...
We consider a percolation model on the plane which consists of 1-dimensional sticks placed at points...
We consider a percolation model which consists of oriented lines placed randomly on the plane. The l...
We consider two cases of the so-called stick percolation model with sticks of length L. In the first...
We study the connectivity properties of the complementary set in Poisson multiscale percolation mode...
In 1961 Gilbert defined a model of continuum percolation in which points are placed in the plane acc...
We consider some continuum percolation models. We are mainly interested in giving some sufficient co...
We consider the Poisson Boolean percolation model in R2, where the radius of each ball is independen...
We derive a new lower bound p c ? 0:8107 for the critical value of Mandelbrot's dyadic fractal ...
Equip each point x of a homogeneous Poisson process P on R with Dx edge stubs, where the Dx are i.i....
We prove Tsirelson's conjecture that the scaling limit of planar critical percolation is a black noi...
International audienceWe show that simple, stationary point processes of a given intensity on $\mR^d...
We show that for the Poisson Boolean model in hyperbolic space, there are intensities for the underl...
Consider the standard continuous percolation in R 4 , and choose the parameters so that the induce...
We introduce a class of discrete-continuous percolation models and an efficient Monte Carlo algorith...
We present the main results of a study for the existence of vacant and occupied unbounded connected ...
We consider a percolation model on the plane which consists of 1-dimensional sticks placed at points...
We consider a percolation model which consists of oriented lines placed randomly on the plane. The l...
We consider two cases of the so-called stick percolation model with sticks of length L. In the first...
We study the connectivity properties of the complementary set in Poisson multiscale percolation mode...
In 1961 Gilbert defined a model of continuum percolation in which points are placed in the plane acc...
We consider some continuum percolation models. We are mainly interested in giving some sufficient co...
We consider the Poisson Boolean percolation model in R2, where the radius of each ball is independen...
We derive a new lower bound p c ? 0:8107 for the critical value of Mandelbrot's dyadic fractal ...
Equip each point x of a homogeneous Poisson process P on R with Dx edge stubs, where the Dx are i.i....
We prove Tsirelson's conjecture that the scaling limit of planar critical percolation is a black noi...
International audienceWe show that simple, stationary point processes of a given intensity on $\mR^d...
We show that for the Poisson Boolean model in hyperbolic space, there are intensities for the underl...
Consider the standard continuous percolation in R 4 , and choose the parameters so that the induce...
We introduce a class of discrete-continuous percolation models and an efficient Monte Carlo algorith...
We present the main results of a study for the existence of vacant and occupied unbounded connected ...