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Critical values in an anisotropic percolation on $\mathbb{Z}^2$

Hao Xue

In this thesis, we consider an anisotropic finite-range bond percolation model on

\mathbb{Z}^2

. On each horizontal layer

\{(x,i):x\in\mathbb{Z}\}

for

i\in\mathbb{Z}

, we have edges

\langle(x,i),(y,i)\rangle

for

1\leq|x-y|\leq N

with $N\in\mathbb{N ...

EPFL2021

Processus de branchement

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Wind, Hail, and Climate Extremes: Modelling and Attribution Studies for Environmental Data

Intrinsic area near the origin for self-similar growth-fragmentations and related random surfaces

Critical values in an anisotropic percolation on $\mathbb{Z}^2$

Exceptional graphs for the random walk

Critical scaling for an anisotropic percolation system on Z(2)

Lyapunov Exponents for Branching Processes in a Random Environment: The Effect of Information

Amplitude And Phase Variation Of Point Processes

Exponential extinction time of the contact process on finite graphs

Approximate solution of the probability density function of bedload transport rate over multiple time scales.

DNA delivery with hyperbranched polylysine: A comparative study with linear and dendritic polylysine

Intrinsic area near the origin for self-similar growth-fragmentations and related random surfaces

Wind, Hail, and Climate Extremes: Modelling and Attribution Studies for Environmental Data

Critical values in an anisotropic percolation on $\mathbb{Z}^2$

Exponential extinction time of the contact process on finite graphs

Exceptional graphs for the random walk

Lyapunov Exponents for Branching Processes in a Random Environment: The Effect of Information

Approximate solution of the probability density function of bedload transport rate over multiple time scales.

Critical scaling for an anisotropic percolation system on Z(2)

Amplitude And Phase Variation Of Point Processes

DNA delivery with hyperbranched polylysine: A comparative study with linear and dendritic polylysine