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Phase transition creates the geometry of the continuum from discrete space

RFR. FarrTFT. Fink Physical Review E

Geometry of discrete space

A phase transition creates the geometry of the continuum from discrete space, but it needs disorder if it is to have the right metric.

Exactly solvable model of memristive circuits: Lyapunov functional and mean field theory

FCF. CaravelliPBP. Barucca European Physical Journal B

Exactly solvable model of memristive circuits: Lyapunov functional and mean field theory

In this paper we sketch a general methodology for studying the phase diagram of memristive circuits.

Distress propagation in complex networks: the case of non-linear DebtRank

MBM. BardosciaGCG. CaldarelliFCJPGV PLoS ONE

Distress propagation in complex networks: the case of non-linear DebtRank

Interbank network and balance sheet.

Subcritical U-Bootstrap percolation models have non-trivial phase transitions

BBB. BollobasMPM. PrzykuckiPSP. SmithPB Transactions of the American Mathematical Society

Subcritical U-Bootstrap percolation models have non-trivial phase transitions

Our results re-open the study of critical probabilities in bootstrap percolation on infinite lattices.