206 citations · 940 across the 55 of their papers we have counts for
6 papers · 2 filters
Hydrodynamic equation for a deposition model
Balint Toth, Wendelin Werner
We show that the two-component system of hyperbolic conservation laws appears naturally in the formally computed hy…
The Dimension of the Planar Brownian Frontier is 4/3
Gregory F. Lawler, Oded Schramm, Wendelin Werner
In a series of recent preprints, we have proven that with probability one the Hausdorff dimension on the outer boundary of planar Brownian motion is 4/3, confirming a conjecture by…
Critical exponents, conformal invariance and planar Brownian motion
Wendelin Werner
In this review paper, we first discuss some open problems related to two-dimensional self-avoiding paths and critical percolation. We then review some closely related results (join…
Analyticity of intersection exponents for planar Brownian motion
Gregory F. Lawler, Oded Schramm, Wendelin Werner
We show that the intersection exponents for planar Brownian motions are analytic. More precisely, let and be independent planar Brownian motions started from distinct poin…
Values of Brownian intersection exponents III: Two-sided exponents
Gregory F. Lawler, Oded Schramm, Wendelin Werner
This paper determines values of intersection exponents between packs of planar Brownian motions in the half-plane and in the plane that were not derived in our first two papers. Fo…
Values of Brownian intersection exponents II: Plane exponents
Gregory F. Lawler, Oded Schramm, Wendelin Werner
We derive the exact value of intersection exponents between planar Brownian motions or random walks, confirming predictions from theoretical physics by Duplantier and Kwon. Let B a…