Publications
Books
- Stochastic Neutron Transport and Non-Local Branching Processes
Emma Horton and Andreas Kyprianou
Springer Nature, 2023.
Papers
- 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
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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. - 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.
Preprint: https://arxiv.org/abs/2407.11453
- Linear and uniform in time bound for the binary branching model with Moran type interactions.
Alex Cox, Emma Horton and Denis Villemonais.
Preprint: https://arxiv.org/abs/2501.18208 - More on the asymptotic behaviour of moments of branching Markov processes.
Chris Dean and Emma Horton.
Preprint: https://arxiv.org/abs/2501.19268 - Fluctuations of non-local branching Markov processes.
Chris Dean and Emma Horton.
Preprint: https://arxiv.org/abs/2502.19382