8 citations · 19 across the 16 of their papers we have counts for
21 papers
Distributional properties of first jump times of CBI processes with jump sizes in given Borel sets
Matyas Barczy, Sandra Palau, Yao Xue
We derive an expression for the joint distribution function of the first jump times of a continuous state and continuous time branching process with immigration (CBI process) with…
The coalescent of a sample from a linear-fractional branching process
Natalia Cardona-Tobón, Sandra Palau
In this article, we focus on Bienaymé-Galton-Watson processes with linear-fractional offspring distributions. At a fixed generation, we consider a sample of the individuals alive,…
The largest fragment in self-similar fragmentation processes of positive index
Piotr Dyszewski, Samuel G. G. Johnston, Sandra Palau +1
We study a self-similar fragmentation process with dislocation measure and self-similarity index . Let denote the size of the largest fragment at time $t \geq…
Fixation and stationary times for the -Wright-Fisher process
Airam Blancas, Adrián González Casanova, Sebastian Hummel +1
We study the fixation and stationary behavior of the Lambda-Wright-Fisher process with parent-independent mutation and finitely many types, a jump-diffusion model for allele freque…
Distributional properties of jumps of multi-type CBI processes
Matyas Barczy, Sandra Palau
We study the distributional properties of jumps of multi-type continuous state and continuous time branching processes with immigration (multi-type CBI processes). We derive an exp…
Rates on Yaglom's limit for Galton-Watson processes in a varying environment
Natalia Cardona-Tobón, Arturo Jaramillo, Sandra Palau
A Galton-Watson process in a varying environment is a discrete time branching process where the offspring distributions vary among generations. It is known that in the critical cas…
The coalescent structure of Galton-Watson trees in varying environments
Simon C. Harris, Sandra Palau, Juan Carlos Pardo
We investigate the genealogy of a sample of particles chosen uniformly without replacement from a population alive at large times in a critical discrete-time Galton-Watson…
On multitype Branching Processes with Interaction
Maria Clara Fittipaldi, Sandra Palau
Motivated by the stochastic Lotka-Volterra model, we introduce discrete-state interacting multitype branching processes. We show that they can be obtained as the sum of a multidime…
Coalescent point process of branching trees in varying environment
Airam Blancas, Sandra Palau
Consider an arbitrary large population at the present time, originated at an unspecified arbitrary large time in the past, where individuals in the same generation reproduce indepe…
Oscillatory attraction and repulsion from a subset of the unit sphere or hyperplane for isotropic stable Lévy processes
Mateusz Kwaśniki, Andreas E. Kyprianou, Sandra Palau +1
Suppose that is a closed set of the unit sphere in dimension , which has positive surface measure. We constr…
Yaglom's limit for critical Galton-Watson processes in varying environment: A probabilistic approach
Natalia Cardona-Tobón, Sandra Palau
A Galton-Watson process in varying environment is a discrete time branching process where the offspring distributions vary among generations. Based on a two-spine decomposition tec…
Attraction to and repulsion from a subset of the unit sphere for isotropic stable Lévy processes
Andreas E. Kyprianou, Sandra Palau, Tsogzolmaa Saizmaa
Taking account of recent developments in the representation of -dimensional isotropic stable Lévy processes as self-similar Markov processes, we consider a number of new ways to…
Asymptotic behavior of projections of supercritical multi-type continuous state and continuous time branching processes with immigration
Matyas Barczy, Sandra Palau, Gyula Pap
Under a fourth order moment condition on the branching and a second order moment condition on the immigration mechanisms, we show that an appropriately scaled projection of a super…
Law of large numbers for supercritical superprocesses with non-local branching
Sandra Palau, Ting Yang
In this paper we establish a weak and a strong law of large numbers for supercritical superprocesses with general non-local branching mechanisms. Our results complement earlier res…
Backbone decomposition of multitype superprocesses
Dorottya Fekete, Sandra Palau, Juan Carlos Pardo +1
In this paper, we provide a construction of the so-called backbone decomposition for multitype supercritical superprocesses. While backbone decompositions are fairly well-known for…
Almost sure, L_1- and L_2-growth behavior of supercritical multi-type continuous state and continuous time branching processes with immigration
Matyas Barczy, Sandra Palau, Gyula Pap
Under a first order moment condition on the immigration mechanism, we show that an appropriately scaled supercritical and irreducible multi-type continuous state and continuous tim…
Almost sure growth of supercritical multi-type continuous state branching process
Andreas E. Kyprianou, Sandra Palau, Yan-Xia Ren
In Li (2011), Example 2.2, the notion of a multi-type continuous-state branching process (MCSBP) was introduced with a finite number of types, with the countably infinite case bein…
Extinction properties of multi-type continuous-state branching processes
Andreas Kyprianou, Sandra Palau
Recently in Barczy, Li and Pap (2015), the notion of a multi-type continuous-state branching process (with immigration) having d-types was introduced as a solution to an d-dimensio…
Asymptotic behaviour of exponential functionals of Lévy processes with applications to random processes in random environment
Sandra Palau, Juan Carlos Pardo, Charline Smadi
Let be a real-valued Lévy process and define its associated exponential functional as follows \[ I_t(ξ):=\int_0^t \exp\{-ξ_s\}{\rm d} s, \qquad t\ge 0. \] Motivat…
Branching processes in a Lévy random environment
S. Palau, J. C. Pardo
In this paper, we introduce branching processes in a Lévy random environment. In order to define this class of processes, we study a particular class of non-negative stochastic dif…
Continuous state branching processes in random environment: The Brownian case
Sandra Palau, Juan Carlos Pardo
We consider continuous state branching processes that are perturbed by a Brownian motion. These processes are constructed as the unique strong solution of a stochastic differential…