Below is a list of publications and preprints to date.

• Quantum harmonic oscillators and Feynman-Kac path integrals for linear diffusive particles
  Link opens in a Link opens in a new windowPierre Del MoralLink opens in a new w and Emma Horton.
  To appear in Commun. Math. Phys., 2023.

• On the stability of positive semigroups
  Link opens in a new windowLink opens in a new windowPierre Del MoralLink opens in a new window, Emma Horton and Ajay JasraLink opens in a new windowLink opens in a new window.
  To appear in Ann. Appl. Probab., 2023.

• A theoretical analysis of one-dimensional discrete generation ensemble Kalman particle filters
  Link opens in a new windowLink opens in a new windowPierre Del MoralLink opens in a new window 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 sizesLink opens in a new windowLink opens in a new window
  Emma Horton and Alex WatsonLink opens in a new window.
  ALEA, Lat. Am. J. Probab. Math. Stat., 19(2), pp 1799, 2022.

• Yaglom limit for non-local critical branching Markov processes
  Link opens in a new windowLink opens in a new windowSimon HarrisLink opens in a new window, Emma Horton, Andreas Kyprianou and Minmin WangLink opens in a new window.
  Ann. Probab., 50(6) pp 2373-50(6): 2373-2408 2022.

• Asymptotic moments of spatial branching processes
  Link opens in a new windowLink opens in a new windowIsaac Gonzalez, Emma Horton and Andreas Kyprianou.
  Probab. Theory Relat. Fields, 184, pp 805-858, 2022.

• A note on Riccati matrix difference equations
  Link opens in a new windowLink opens in a new windowPierre Del MoralLink opens in a new window 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
  Link opens in a new windowLink opens in a new windowAlex CoxLink opens in a new window, Emma Horton, Andreas Kyprianou and Denis VillemonaisLink opens in a new window.
  SIAM J. Appl. Math., 81(3), pp 982-1001, 2021. 

• Stochastic Methods for the Neutron Transport Equation II: Almost Sure Growth
  Link opens in a new windowLink opens in a new windowSimon HarrisLink opens in a new window, 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
  Link opens in a new windo Link opens in a new windowEmma Horton, Andreas KyprianouLink opens in a new windowLink opens in a new window and Denis VillemonaisLink opens in a new window.
  Ann. Appl. Probab., 30(6), pp 2573-2612, 2020.

• Multispecies Neutron Transport EquationLink opens in a new windowLink opens in a new window
  Alex CoxLink opens in a new window, Simon HarrisLink opens in a new window, Emma Horton and Andreas Kyprianou.
  J. Stat. Phys., 176(2), pp 425-455, 2019.

• More on hypergeometric Levy processes
  Link opens in a new windowLink opens in a new windowEmma Horton and Andreas Kyprianou.
  Advances in Applied Probability, 48(A), pp 153--158 2016.
  A more detailed version of the paper can be found hereLink opens in a new windowLink opens in a new window.

Preprints

• Many-to-few for non-local branching processes
  Link opens in a new windowLink opens in a new windowSimon HarrisLink opens in a new window, Emma Horton, Andreas KyprianouLink opens in a new windowLink opens in a new window and Ellen PowellLink opens in a new window

• Binary branching processes with Moran type interactions
  Link opens in a new windowLink opens in a new windowAlex CoxLink opens in a new window, Emma Horton and Denis Villemonais
  To appear in Ann. inst. Henri Poincare (B) Probab. Stat.