Conformal maps: from probability to physics

Saturday, May 22, 2010 - 6:00pm to Friday, May 28, 2010 - 5:59pm

The conference centers on random structures in the context of complex
analysis, inspired by interactions between mathematics and physics. The
central example is perhaps the Stochastic Loewner Evolution, introduced by Oded
Schramm. SLE arises as the scaling limit of interfaces in 2D lattice
models at criticality (percolation, Ising model, self avoiding polymers),
and its elegant combination of probability and complex analysis has led to
the proofs of many conjectures originating in physics. Other topics
include Diffusion Limited Aggregation (a model for electrodeposition and
other phenomena), Hele-Shaw flow (describing interfaces between fluids of
different viscosities, e.g. oil and water), 2D Quantum Gravity and Random

Monte Verita, Ascona, Ticino, Switzerland

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