Publications

Books

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

Papers

• 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.
  To appear in J. Math. Biol.
• Linear and uniform in time bound for the binary branching model with Moran type interactions.
  Alex Cox, Emma Horton and Denis Villemonais.
  To appear in Proc. IWBPA24
• Jump stochastic differential equations for the characterisation of the Bragg peak in proton beam radiotherapy.Link opens in a new window
  Alastair Crossley, Karen Habermann, Emma Horton, Jere Koskela, Andreas E. Kyprianou and Sarah Osman.
  To appear in Proc. R. Soc. A.
• Limit theorems for the neutron transport equationLink opens in a new window
  Eric Dumonteil, Emma Horton, Andreas Kyprianou and Andrea Zoia.
  To appear in NSE.
• Binary branching processes with Moran type interactionsLink opens in a new window
  Link 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.
• Many-to-few for non-local branching processesLink opens in a new window
  Link opens in a new windowSimon HarrisLink opens in a new window, Emma Horton, Andreas Kyprianouink opens in a and Ellen Powell
  Electronic Journal of Probability, 29, 1-26, 2024.
• Quantum harmonic oscillators and Feynman-Kac path integrals for linear diffusive particlesLink opens in a new window
  Link opens in a Pierre Del MoralLink opens in a new w and Emma Horton.
  Communications in Mathematical Physics, 402(2), 2079-2127, 2023.

• On the stability of positive semigroupsLink opens in a new window
  Link opens in a new windPierre Del MoralLink opens in a new window, Emma Horton and Ajay JasraLink opens in a new wiasdfkjh.
  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 window
  Link opens in a new widowPierre 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.