Bounds for disconnection exponents.
Conformal restriction and related questions.
A counterexample to the “hot spots" conjecture.
Avoiding-probabilities for Brownian snakes and super-Browian motion.
A note on reflecting Brownian motions.
Simulations and conjectures for disconnection exponents.
Some remarks on perturbed reflecting brownian motion
Rate of explosion of the amperean area of the planar brownian loop
Sur les singularités des temps locaux d'intersection du mouvement brownien plan
Girsanov’s transformation for SLE processes, intersection exponents and hiding exponents
One-arm exponent for critical 2D percolation.
Asymptotic windings of planar brownian motion revisited via the Ornstein-Uhlenbeck process
Comportement asymptotique du nombre de tours effectués par la trajectoire brownienne plane
The Markovian hyperbolic triangulation
We construct and study the unique random tiling of the hyperbolic plane into ideal hyperbolic triangles (with the three corners located on the boundary) that is invariant (in law) with respect to Möbius transformations, and possesses a natural spatial Markov property that can be roughly described as the conditional independence of the two parts of the triangulation on the two sides of the edge of one of its triangles.
Universality for conformally invariant intersection exponents
We construct a class of conformally invariant measures on sets (or paths) and we study the critical exponents called intersection exponents associated to these measures. We show that these exponents exist and that they correspond to intersection exponents between planar Brownian motions. More precisely, using the definitions and results of our paper [27], we show that any set defined under such a conformal invariant measure behaves exactly as a pack (containing maybe a non-integer number) of Brownian...
Reflection and coalescence between independent one-dimensional brownian paths
Values of brownian intersection exponents III : two-sided exponents
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