Details

Autor(en) / Beteiligte

• Slade, Gordon

Titel

Self-avoiding walk, spin systems and renormalization

Ist Teil von

• Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2019-01, Vol.475 (2221), p.1-21

Ort / Verlag

Royal Society

Erscheinungsjahr

2019

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The self-avoiding walk, and lattice spin systems such as the φ⁴ model, are models of interest both in mathematics and in physics. Many of their important mathematical problems remain unsolved, particularly those involving critical exponents. We survey some of these problems, and report on recent advances in their mathematical understanding via a rigorous non-perturbative renormalization group method.