The scaling limit of planar loop-erased random walks is described by using a stochastic Loewner evolution with parameter κ = 2. In this paper SLE2 in the upper half-plane mathbb {H} minus a simply connected compact subset mathbb {K}subset mathbb {H} is studied. As a main result, the left-passage probability with respect to mathbb {K} is explicitly determined
This thesis is not available on this repository until the author agrees to make it public. If you ar...
We numerically test the correspondence between the scaling limit of self-avoiding walks (SAW) in the...
On the pathwise analysis side, this thesis contains results between Rough Path Theory and Schramm-Lo...
International audienceLet γ be the curve generating a Schramm–Loewner Evolution (SLE) process, with ...
Great progress in the understanding of conformally invariant scaling limits of stochastic models, ha...
In 2000, O. Schramm [4] introduced a one-parameter family of random growth processes in two dimen-si...
We focus on planar Random Walks and some related stochastic processes. The discrete models are intro...
In this paper, we provide framework of estimates for describing 2D scaling limits by Schramm’s SLE c...
We consider loop-erased random walk (LERW) running between two boundary points of a square grid appr...
The Schramm–Loewner evolution (SLE[subscript κ]) is a candidate for the scaling limit of random curv...
We discuss properties of dipolar SLEκ under conditioning. We show that κ = 2, which describes contin...
This dissertation deals with two-dimensional random walks and their conformally invariant scaling li...
Abstract. We estimate convergence rates for curves generated by the Loewner equation under the basic...
Schramm-Loewner evolution (SLE(kappa)) is an important contemporary tool for identifying critical sc...
The loop-erased random walk (LERW) was first studied in 1980 by Lawler as an attempt to analyze self...
This thesis is not available on this repository until the author agrees to make it public. If you ar...
We numerically test the correspondence between the scaling limit of self-avoiding walks (SAW) in the...
On the pathwise analysis side, this thesis contains results between Rough Path Theory and Schramm-Lo...
International audienceLet γ be the curve generating a Schramm–Loewner Evolution (SLE) process, with ...
Great progress in the understanding of conformally invariant scaling limits of stochastic models, ha...
In 2000, O. Schramm [4] introduced a one-parameter family of random growth processes in two dimen-si...
We focus on planar Random Walks and some related stochastic processes. The discrete models are intro...
In this paper, we provide framework of estimates for describing 2D scaling limits by Schramm’s SLE c...
We consider loop-erased random walk (LERW) running between two boundary points of a square grid appr...
The Schramm–Loewner evolution (SLE[subscript κ]) is a candidate for the scaling limit of random curv...
We discuss properties of dipolar SLEκ under conditioning. We show that κ = 2, which describes contin...
This dissertation deals with two-dimensional random walks and their conformally invariant scaling li...
Abstract. We estimate convergence rates for curves generated by the Loewner equation under the basic...
Schramm-Loewner evolution (SLE(kappa)) is an important contemporary tool for identifying critical sc...
The loop-erased random walk (LERW) was first studied in 1980 by Lawler as an attempt to analyze self...
This thesis is not available on this repository until the author agrees to make it public. If you ar...
We numerically test the correspondence between the scaling limit of self-avoiding walks (SAW) in the...
On the pathwise analysis side, this thesis contains results between Rough Path Theory and Schramm-Lo...
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