Towards conformal invariance of 2D lattice models

نویسنده

  • Stanislav Smirnov
چکیده

Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, . . . This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm-Loewner Evolution. Mathematics Subject Classification (2000). Primary 82B20; Secondary 60K35, 82B43, 30C35, 81T40.

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تاریخ انتشار 2008