8 citations · 25 across the 15 of their papers we have counts for
16 papers
Collective vs. individual behaviour for sums of i.i.d. random variables: appearance of the one-big-jump phenomenon
Quentin Berger, Matthias Birkner, Linglong Yuan
This article studies large and local large deviations for sums of i.i.d. real-valued random variables in the domain of attraction of an -stable law, , with emphasis…
Extremal shot noise processes and random cutout sets
Clément Foucart, Linglong Yuan
We study some fundamental properties, such as the transience, the recurrence, the first passage times and the zero-set of a certain type of sawtooth Markov processes, called extrem…
Limit theorems for continuous-state branching processes with immigration
Clément Foucart, Chunhua Ma, Linglong Yuan
We prove and extend some results stated by Mark Pinsky: Limit theorems for continuous state branching processes with immigration [Bull. Amer. Math. Soc. 78(1972), 242--244]. Consid…
Kingman's model with random mutation probabilities: convergence and condensation II
Linglong Yuan
Kingman's model describes the evolution of a one-locus haploid population of infinite size and discrete generations under the competition of selection and mutation. A random genera…
Kingman's model with random mutation probabilities: convergence and condensation I
Linglong Yuan
For a one-locus haploid infinite population with discrete generations, the celebrated Kingman's model describes the evolution of fitness distributions under the competition of sele…
Does the ratio of Laplace transforms of powers of a function identify the function?
Takis Konstantopoulos, Linglong Yuan
We study the following question: if is a nonzero measurable function on and and distinct nonnegative integers, does the ratio …
Kingman's House-of-Cards model: random mutation probabilities and random matrices
Linglong Yuan
Kingman's House-of-Cards model is a simple and celebrated model to describe the evolution of population under the competition of selection and mutation. Letting mutation probabilit…
Polynomial approximations to continuous functions and stochastic compositions
Takis Konstantopoulos, Linglong Yuan, Michael A. Zazanis
This paper presents a stochastic approach to theorems concerning the behavior of iterations of the Bernstein operator taking a continuous function to a degree-…
A generalization of Kingman's model of selection and mutation and the Lenski experiment
Linglong Yuan
Kingman's model of selection and mutation studies the limit type value distribution in an asexual population of discrete generations and infinite size undergoing selection and muta…
An individual-based model for the Lenski experiment, and the deceleration of the relative fitness
Adrián González Casanova, Noemi Kurt, Anton Wakolbinger +1
The Lenski experiment investigates the long-term evolution of bacterial populations. Its design allows the direct comparison of the reproductive fitness of an evolved strain with i…
On the extendibility of finitely exchangeable probability measures
Takis Konstantopoulos, Linglong Yuan
A length- random sequence in a space is finitely exchangeable if its distribution is invariant under all permutations of coordinates. Given , we…
On a representation theorem for finitely exchangeable random vectors
Svante Janson, Takis Konstantopoulos, Linglong Yuan
A random vector with the taking values in an arbitrary measurable space is exchangeable if its law is the same as that of $(X_{σ(1)},…
Asymptotics of the minimal clade size and related functionals of certain beta-coalescents
Arno Siri-Jégousse, Linglong Yuan
This article shows the asymptotics of distributions of various functionals of the Beta -coalescent process with when goes to infinity. This process is a Mar…
On the measure division construction of Λ-coalescents
Linglong Yuan
This paper provides a new construction of Λ-coalescents called "measure division construction". This construction is pathwise and consists of dividing the characteristic measure Λi…
Asympotic behavior of the total length of external branches for Beta-coalescents
Jean-Stephane Dhersin, Linglong Yuan
We consider a -coalescent and we study the asymptotic behavior of the total length of the external branches of the associated -coalescent. For Kingman coalesc…
On the length of an external branch in the Beta-coalescent
Jean-Stephane Dhersin, Fabian Freund, Arno Siri-Jegousse +1
In this paper, we consider Beta (with ) and related -coalescents. If denotes the length of an external branch of the -coalescent, we prove the conve…