Co-authors
Vincent Bansaye, Quentin Berger, Matthias Birkner, Jean-Stephane Dhersin, Clément Foucart, Fabian Freund, Adrian Gonzalez-Casanova, Chenlin Gu, Svante Janson, Takis Konstantopoulos, Noemi Kurt, Chunhua Ma, Arno Siri-Jégousse, Anton Wakolbinger, Michael A. Zazanis,
Vincent Bansaye, Quentin Berger, Matthias Birkner, Jean-Stephane Dhersin, Clément Foucart, Fabian Freund, Adrian Gonzalez-Casanova, Chenlin Gu, Svante Janson, Takis Konstantopoulos, Noemi Kurt, Chunhua Ma, Arno Siri-Jégousse, Anton Wakolbinger, Michael A. Zazanis,
Preprints
C.Foucart, L.Y.
Weak convergence of continuous-state branching process with large immigration. [arxiv]
C. Foucart, L.Y.
Extremal shot noise processes and random cutout sets. [arxiv]
M. Birkner, L.Y.
Probabilities of large values for sums of i.i.d. non-negative random variables with regular tail of index -1. [arxiv]
C.Foucart, L.Y.
Weak convergence of continuous-state branching process with large immigration. [arxiv]
C. Foucart, L.Y.
Extremal shot noise processes and random cutout sets. [arxiv]
M. Birkner, L.Y.
Probabilities of large values for sums of i.i.d. non-negative random variables with regular tail of index -1. [arxiv]
Journal Publications (ordered by themes)
Condensation and Phase transition
Q. Berger, M. Birkner, L.Y.
Collective vs. individual behaviour for sums of i.i.d. random variables: appearance of the one-big-jump phenomenon.
To appear in Annales de la Faculté des Sciences de Toulouse, 2024+. [arxiv]
L.Y.
Kingman's model with random mutation probabilities: convergence and condensation I.
Advances in Applied Probability. 54(1), 2022. [arxiv]
(Camille Coron gave a mini-course on Kingman's model and its generalisations - Ecology, epidemiology and evolution, 23-27 Oct 2023 )
L.Y.
Kingman's model with random mutation probabilities: convergence and condensation II.
Journal of Statistical Physics. 181(3), 870–896, 2020. [arxiv]
L.Y.
A generalization of Kingman's model of selection and mutation and the Lenski experiment.
Mathematical Biosciences. 285, 61-67, 2017. [arxiv]
Exchangeability and Extendibility
T. Konstantopoulos, L.Y.
On the extendibility of finitely exchangeable probability measures.
Transactions of the American Mathematical Society. 7371(10), 7067-7092, 2019. [arxiv]
S. Janson, T. Konstantopoulos, L.Y.
On a representation theorem for finitely exchangeable random vectors.
Journal of Mathematical Analysis and Applications. 442(2), 703-714, 2016. [arxiv]
Coalescent and Branching
L.Y.
On a Markov chain related to the individual lengths in the recursive construction of Kingman's coalescent.
To applear in ALEA Latin American Journal of Probability and Mathematical Statistics, 2024+. [arxiv]
V. Bansaye, C. Gu, L.Y.
A growth-fragmentation-isolation process on random recursive trees and contact tracing.
Annals of Applied Probability, 33(6B):5233-5278, 2023. [arxiv: extended version]
C. Foucart, C. Ma, L.Y.
Limit theorems for continuous-state branching processes with immigration.
Advances in Applied Probability. 54(2), 2022. [arxiv]
A.Siri-Jégousse, L.Y.
Asymptotics of the minimal clade size and related functionals of certain beta-coalescents.
Acta Applicandae Mathematicae. 142(1), 127-148, 2016. [arxiv]
J.-S.Dhersin, L.Y.
On the total length of external branches for beta-coalescents.
Advances in Applied Probability. 47(3), 693-714, 2015. [file]
L.Y.
On the measure division construction of Λ-coalescents.
Markov Processes and Related Fields. 20, 229–264, 2014. [file]
J.-S.Dhersin, A.Siri-Jégousse, F.Freund, L.Y.
On the length of an external branch in the Beta-coalescent.
Stochastic Processes and Their Applications. 123(5), 1691-1715, 2013. [arxiv]
Modelling in Population Genetics
A. Gonzalez-Casanova, N. Kurt, A. Wakolbinger, L.Y.
An individual-based model for the Lenski experiment, and the deceleration of the relative fitness.
Stochastic Processes and Their Applications. 126(8), 2211-2252, 2016. [arxiv]
(This paper won the Itô Prize 2017)
Maths in Economy and Finance
T. Konstantopoulos, L.Y.
Does the ratio of Laplace transforms of powers of a function identify the function?
Journal of Mathematical Analysis and Applications. 491(1), 2021. [arxiv]
Miscellaneous
T. Konstantopoulos, L.Y., M. Zazanis,
A fully stochastic approach to limit theorems for iterates of Bernstein operators.
Expositiones Mathematicae. 36(2), 143-165, 2018. [file]
T.Konstantopoulos, L.Y.
A probabilistic interpretation of the Gaussian binomial coefficients.
Journal of Applied Probability. 54, 1295–1298, 2017. [file]
Condensation and Phase transition
Q. Berger, M. Birkner, L.Y.
Collective vs. individual behaviour for sums of i.i.d. random variables: appearance of the one-big-jump phenomenon.
To appear in Annales de la Faculté des Sciences de Toulouse, 2024+. [arxiv]
L.Y.
Kingman's model with random mutation probabilities: convergence and condensation I.
Advances in Applied Probability. 54(1), 2022. [arxiv]
(Camille Coron gave a mini-course on Kingman's model and its generalisations - Ecology, epidemiology and evolution, 23-27 Oct 2023 )
L.Y.
Kingman's model with random mutation probabilities: convergence and condensation II.
Journal of Statistical Physics. 181(3), 870–896, 2020. [arxiv]
L.Y.
A generalization of Kingman's model of selection and mutation and the Lenski experiment.
Mathematical Biosciences. 285, 61-67, 2017. [arxiv]
Exchangeability and Extendibility
T. Konstantopoulos, L.Y.
On the extendibility of finitely exchangeable probability measures.
Transactions of the American Mathematical Society. 7371(10), 7067-7092, 2019. [arxiv]
S. Janson, T. Konstantopoulos, L.Y.
On a representation theorem for finitely exchangeable random vectors.
Journal of Mathematical Analysis and Applications. 442(2), 703-714, 2016. [arxiv]
Coalescent and Branching
L.Y.
On a Markov chain related to the individual lengths in the recursive construction of Kingman's coalescent.
To applear in ALEA Latin American Journal of Probability and Mathematical Statistics, 2024+. [arxiv]
V. Bansaye, C. Gu, L.Y.
A growth-fragmentation-isolation process on random recursive trees and contact tracing.
Annals of Applied Probability, 33(6B):5233-5278, 2023. [arxiv: extended version]
C. Foucart, C. Ma, L.Y.
Limit theorems for continuous-state branching processes with immigration.
Advances in Applied Probability. 54(2), 2022. [arxiv]
A.Siri-Jégousse, L.Y.
Asymptotics of the minimal clade size and related functionals of certain beta-coalescents.
Acta Applicandae Mathematicae. 142(1), 127-148, 2016. [arxiv]
J.-S.Dhersin, L.Y.
On the total length of external branches for beta-coalescents.
Advances in Applied Probability. 47(3), 693-714, 2015. [file]
L.Y.
On the measure division construction of Λ-coalescents.
Markov Processes and Related Fields. 20, 229–264, 2014. [file]
J.-S.Dhersin, A.Siri-Jégousse, F.Freund, L.Y.
On the length of an external branch in the Beta-coalescent.
Stochastic Processes and Their Applications. 123(5), 1691-1715, 2013. [arxiv]
Modelling in Population Genetics
A. Gonzalez-Casanova, N. Kurt, A. Wakolbinger, L.Y.
An individual-based model for the Lenski experiment, and the deceleration of the relative fitness.
Stochastic Processes and Their Applications. 126(8), 2211-2252, 2016. [arxiv]
(This paper won the Itô Prize 2017)
Maths in Economy and Finance
T. Konstantopoulos, L.Y.
Does the ratio of Laplace transforms of powers of a function identify the function?
Journal of Mathematical Analysis and Applications. 491(1), 2021. [arxiv]
Miscellaneous
T. Konstantopoulos, L.Y., M. Zazanis,
A fully stochastic approach to limit theorems for iterates of Bernstein operators.
Expositiones Mathematicae. 36(2), 143-165, 2018. [file]
T.Konstantopoulos, L.Y.
A probabilistic interpretation of the Gaussian binomial coefficients.
Journal of Applied Probability. 54, 1295–1298, 2017. [file]
Book Chapters
A. Siri-Jegousse, L.Y.
A note on small-time behaviour of the largest block size of beta n-coalescent.
XII Symposium of Probability and Stochastic Processes. (pp. 219-234). Birkhäuser, Cham. 2018. [file]
Proceedings
V. Bansaye, J.-F. Delmas, O. Hénard, P. Vallois, L.Y.
Probabilités et biologie.
ESAIM Proceedings. 44 (2104), 197-213. [file]
V. Bansaye, J.-F. Delmas, O. Hénard, P. Vallois, L.Y.
Probabilités et biologie.
ESAIM Proceedings. 44 (2104), 197-213. [file]