List of Contributors .......................................... vi
Preface ..................................................... viii
1 Topological Field Theory of Data: Mining Data Beyond
Complex Networks ............................................ 1
Mario Rasetti and Emanuela Merelli
2 A Random Walk in Diffusion Phenomena and Statistical
Mechanics .................................................. 43
Elena Agliari
3 Legendre Structures in Statistical Mechanics for Ordered
and Disordered Systems .................................... 142
Francesco Guerra
4 Extrema of Log-correlated Random Variables: Principles
and Examples .............................................. 166
Louis-Pierre Arguin
5 Scaling Limits, Brownian Loops, and Conformal Fields ...... 205
Federico Camia
6 The Brownian Web, the Brownian Net, and their
Universality .............................................. 270
Emmanuel Schertzer, Rongfeng Sun and Jan M. Swart
5 Index ..................................................... 369
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