#### A phase transition creates the geometry of the continuum from discrete space

T. Fink, R. Farr

Sub. to *Proceedings of the National Academy of Sciences*

#### Eigenvalues of subgraphs of the cube

B. Bollobás, J. Lee, S. Letzter

*European Journal of Combinatorics*

#### Eigenvalues of neutral networks: Interpolating between hypercubes

T. Reeves, R. Farr, J. Blundell, A. Gallagher, T. Fink

*Discrete Mathematics*

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

P. Balister, B. Bollobas, M. Przykucki, P. Smith

*Transactions of the American Mathematical Society*

#### Maximum percolation time in two-dimensional bootstrap percolation

F. Benevides, M. Przykucki

*SIAM Journal on Discrete Mathematics*

#### Predicting interface structures: from SrTiO 3 to graphene

G. Schusteritsch, C. Pickard

*Physical Review B*

#### Bootstrap percolation on Galton–Watson trees

B. Bollobas, K. Gunderson, C. Janson, M. Przykucki

*Electronic Journal of Probability*

#### Optimal scales in weighted networks

D. Garlaschelli, S. Ahnert, T. Fink, G. Caldarelli

*Social Informatics. Lecture Notes in Computer Science*