As a counterpoint to ``be wise and discretize’’, continuous extensions are relevant and provide useful perspective. They occasionally pose challenges but also yield new tools. Examples of both may be found in: the contact process as extension of discrete percolation, long-range 1D Ising and percolation models, the quantum Ising model, quantum spin chains, influence propagation in the random-field Ising model estimated through a stopping time argument, extensions of discrete random height functions, and new results for the Villain O(2) spin system though its metric graph representation.
By Wendelin Werner
By Victor Dotsenko
By Alessandro Giuliani
By Rafael Greenblatt
By Eveliina Peltola
By Giuseppe Mussardo
By Yvan Velenik
By Michele Caselle
By Ara Sedrakyan
By Michael Aizenman
By Jürg Fröhlich , Tom Spencer , Arthur Jaffe , Geoffrey Grimmett , Joel Lebowitz
By Vincent Tassion
By Vadim Kaimanovich
By Andrey Malyutin
By Sarah Timhadjelt
