Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each one is the result of many months of research, so we make a special effort to make our papers clear, inspiring and beautiful, and publish them in leading journals.

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  • Citations
  • Altmetric
  • SNIP
  • Author
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  • T. FinkT. Fink
  • O. GamayunO. Gamayun
  • A. EsterovA. Esterov
  • Y. HeY. He
  • F. SheldonF. Sheldon
  • A. V. KosyakA. V. Kosyak
  • A. OchirovA. Ochirov
  • E. SobkoE. Sobko
  • M. BurtsevM. Burtsev
  • M. ReevesM. Reeves
  • I. ShkredovI. Shkredov
  • G. CaldarelliG. Caldarelli
  • R. HannamR. Hannam
  • F. CaravelliF. Caravelli
  • A. CoolenA. Coolen
  • O. DahlstenO. Dahlsten
  • A. MozeikaA. Mozeika
  • M. BardosciaM. Bardoscia
  • P. BaruccaP. Barucca
  • M. RowleyM. Rowley
  • I. TeimouriI. Teimouri
  • F. AntenucciF. Antenucci
  • A. ScalaA. Scala
  • R. FarrR. Farr
  • A. ZegaracA. Zegarac
  • S. SebastioS. Sebastio
  • B. BollobásB. Bollobás
  • F. LafondF. Lafond
  • D. FarmerD. Farmer
  • C. PickardC. Pickard
  • T. ReevesT. Reeves
  • J. BlundellJ. Blundell
  • A. GallagherA. Gallagher
  • M. PrzykuckiM. Przykucki
  • P. SmithP. Smith
  • L. PietroneroL. Pietronero
  • Subcritical U-Bootstrap percolation models have non-trivial phase transitions

    Percolation theory

    PBBBB. BollobásMPM. PrzykuckiPSP. Smith Transactions of the American Mathematical Society

    Bootstrap percolation models

    A subset of bootstrap percolation models, which stabilise systems of cells on infinite lattices, exhibit non-trivial phase transitions.

  • Maximum percolation time in two-dimensional bootstrap percolation

    Percolation theory

    FBMPM. Przykucki SIAM Journal on Discrete Mathematics

    Maximum percolation time

    A simple formula gives the maximum time for an n x n grid to become entirely infected having undergone a bootstrap percolation process.

  • Bootstrap percolation on Galton–Watson trees

    Percolation theory

    BBB. BollobásKGCJMPM. Przykucki Electronic Journal of Probability

    Percolation on Galton-Watson trees

    The critical probability for bootstrap percolation, a process which mimics the spread of an infection in a graph, is bounded for Galton-Watson trees.