Books

• Stochastic Neutron Transport and Non-Local Branching Processes
  Emma Horton and Andreas Kyprianou
  Springer Nature, 2023.

Papers

• 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 Ann. inst. Henri Poincare (B) Probab. Stat.
• Many-to-few for non-local branching processesLink opens in a new windowLink opens in a new window
  Simon HarrisLink opens in a new window, Emma Horton, Andreas KyprianouLink opens in a new Link opens in a new window and Ellen Powell
  Electronic Journal of Probability, 29, 1-26, 2024.
• 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.
  Communications in Mathematical Physics, 402(2), 2079-2127, 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 wiasdfkjhLink opens in a new window.
  The Annals of Applied Probability 33.6A: 4424-4490, 2023.

• A theoretical analysis of one-dimensional discrete generation ensemble Kalman particle filtersLink opens in a new widowLink opens in a new window
  Pierre 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.

PreprintsLink opens in a new window

• Stability of (sub) critical non-local spatial branching processes with and without immigration.
  Emma Horton, Andreas Kyprianou, Pedro Martín-Chávez, Ellen Powell and Victor Rivero.
  arXiv preprint arXiv:2407.05472, 2024.
  

• Limit theorems for the neutron transport equation.
  Eric Dumonteil, Emma Horton, Andreas Kyprianou and Andrea Zoia.
  arXiv preprint arXiv:2407.04820, 2024.
  
• Stochastic branching models for the telomeres dynamics in a model including telomerase activity.
  Athanase Benetos, Coralie Fritsch, Emma Horton, Lionel Lenotre, Simon Toupance and Denis Villemonais.
  arXiv preprint arXiv:2407.11453, 2024.
• Jump stochastic differential equations for the characterisation of the Bragg peak in proton beam radiotherapy.
  Alastair Crossley, Karen Habermann, Emma Horton, Jere Koskela, Andreas E. Kyprianou and Sarah Osman.
  arXic preprint arXiv:2409.06965, 2024.