Publications

Journal Publications

• • Quantum harmonic oscillators and Feynman-Kac path integrals for linear diffusive particles
    Pierre Del Moral and Emma Horton.
    To appear in Commun. Math. Phys., 2023.

  • On the stability of positive semigroups
    Pierre Del Moral, Emma Horton and Ajay Jasra.
    To appear in Ann. Appl. Probab., 2023.

  • A theoretical analysis of one-dimensional discrete generation ensemble Kalman particle filters
    Pierre Del Moral and Emma Horton.
    Ann. Appl. Probab., 33(2), pp 1327-1372, 2023. 

  • Strong laws of large numbers for a growth-fragmentation process with bounded cell sizes
    Emma Horton and Alex Watson.
    ALEA, Lat. Am. J. Probab. Math. Stat., 19(2), pp 1799, 2022.

  • Yaglom limit for non-local critical branching Markov processes
    Simon Harris, Emma Horton, Andreas Kyprianou and Minmin Wang.
    Ann. Probab., 50(6) pp 2373-50(6): 2373-2408 2022.

  • Asymptotic moments of spatial branching processes
    Isaac Gonzalez, Emma Horton and Andreas Kyprianou.
    Probab. Theory Relat. Fields, 184, pp 805-858, 2022. 

  • A note on Riccati matrix difference equations
    Pierre Del Moral and Emma Horton.
    SIAM J. Control Optim., 60(3), pp 1393-1409, 2022.

  • Stochastic Methods for Neutron Transport Equation III: Generational many-to-one and k-eff
    Alex Cox, Emma Horton, Andreas Kyprianou and Denis Villemonais.
    SIAM J. Appl. Math., 81(3), pp 982-1001, 2021. 

• • Stochastic Methods for the Neutron Transport Equation II: Almost Sure Growth
    Simon Harris, Emma Horton and Andreas Kyprianou.
    Ann. Appl. Probab., 30(6), pp 2815-2845, 2020.

• • Stochastic Methods for the Neutron Transport Equation I: Linear Semigroup asymptotics
    Emma Horton, Andreas Kyprianou and Denis Villemonais.
    Ann. Appl. Probab., 30(6), pp 2573-2612, 2020.

• • Multispecies Neutron Transport Equation
    Alex Cox, Simon Harris, Emma Horton and Andreas Kyprianou.
    J. Stat. Phys., 176(2), pp 425-455, 2019. 

  • More on hypergeometric Levy processes
    Emma Horton and Andreas Kyprianou.
    Advances in Applied Probability, 48(A), pp 153--158 2016.
    Note: a more detailed version of the paper can be found here.

Preprints

• Many-to-few for non-local branching processes
  Simon Harris, Emma Horton, Andreas Kyprianou and Ellen Powell

• Binary branching processes with Moran type interactions
  Alex Cox, Emma Horton and Denis Villemonais