Andrea Cianchi, Monia Randolfi, On the Modulus of Continuity of Weakly Differentiable Functions, Indiana University Mathematics Journal, Vol. 60, No. 6 (2011), pp. 1939-1973 ...

Q1. Shown below are the graph of two functions What can one conclude from the above graphs? 1) The product of a differentiable function and a non-differentiable function is ALWAYS differentiable.

The Annals of Probability, Vol. 28, No. 3 (Jul., 2000), pp. 1111-1137 (27 pages) Say that a graph has persistent transition if the Ising model on the graph can exhibit a phase transition ...