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Law of large numbers for branching symmetric Hunt processes with measure-valued branching rates
Law of large numbers branching Hunt processes spine approach h-transform spectral gap
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2016/1/20
We establish weak and strong law of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the ...
IDEAL TRIANGLES IN EUCLIDEAN BUILDINGS AND BRANCHING TO LEVI SUBGROUPS
EUCLIDEAN BUILDINGS AND BRANCHING mathematics
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2015/9/29
Let G denote a connected reductive group, de ned and split over Z, and
let M G denote a Levi subgroup. In this paper we study varieties of geodesic
triangles with xed vector-valued side-lengths ...
Branching diffusion in inhomogeneous media
Branch diffusion process of particles heterogeneous medium
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2015/9/28
We investigate the long-time evolution of branching diffusion processes (starting with a finite number of particles) in inhomogeneous media. The qualitative behavior of the processes depen...
A double-branching model applied to long-term forecasting of Italian seismicity (ML≥5.0) within the CSEP project
Earthquake interactions Forecasting
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2015/8/28
The purpose of this study was to apply a double-branching model to forecasting of moderate-to-large Italian seismicity within the Collaboratory Study for Earthquake Predictability project. This projec...
Ethylene is involved in nitrate-dependent root growth and branching in Arabidopsis thaliana
Arabidopsis thaliana ethylene production lateral root development nitrate concentration nitrate transporters
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2015/2/5
Here, we investigated the role of ethylene in high nitrate-induced change in root development in Arabidopsis thaliana using wild types and mutants defective in ethylene signaling (etr1, ein2) and nitr...
Branching diffusion in the super-critical regime
Branching diffusion the super-critical regime Probability
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2012/7/11
We investigate the long-time evolution of branching diffusion processes (starting with a single particle) in inhomogeneous media. The qualitative behavior of the processes depends on the intensity of ...
Asymptotic behavior of critical primitive multi-type branching processes with immigration
Asymptotic behavior critical primitive multi-type branching processes immigration Probability
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2012/5/24
Under natural assumptions a Feller type diffusion approximation is derived for critical multi-type branching processes with immigration when the offspring mean matrix is primitive (in other words, pos...
Evolutionary branching in a stochastic population model with distinct mutational steps
Evolutionary branching genetic drift selection adaptation
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2012/5/2
Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life caree...
Improved geodesics for the reduced curvature-dimension condition in branching metric spaces
Ricci curvature metric measure spaces branching metric spaces Differential Geometry
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2012/3/1
In this note we show that in metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we always have geodesics in the Wasserstein space of probability measures that satisfy ...
Functional ergodic theorems of site-dependent branching Brownian motions in R
Functional ergodic theorem branching Brownian motion site-dependence Levy Khintchine representation
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2011/9/21
Abstract: In this paper, we studied the functional ergodic limits of the site-dependent branching Brownian motions in R. The results show that the limiting processes are non-degenerate if and only if ...
Branching diffusions in random environment
Branching process random environment diffusion approximation Laplace transform survival probability backbone construction
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2011/9/6
Abstract: We consider the diffusion approximation of branching processes in random environment (BPREs). This diffusion approximation is similar to and mathematically more tractable than BPREs. We obta...
Convergence in law for the branching random walk seen from its tip
branching random walk Convergence its tip Probability
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2011/9/5
Abstract: Considering a critical branching random walk on the real line. In a recent paper, Aidekon [3] developed a powerful method to obtain the convergence in law of its minimum after a log-factor n...
A branching diffusion model of selection: from the neutral Wright-Fisher case to the one including mutations
Diffusions Doob transform killing, branching quasi-stationarity Wright-Fisher model neutral or with mutation selection
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2011/10/8
Abstract: We consider diffusion processes x_{t} on the unit interval. Doob-transformation techniques consist of a selection of x_{t}-paths procedure. The law of the transformed process is the one of a...
Branching Markov processes on fragmentation trees generated from the paintbox process
Branching Markov processes fragmentation trees the paintbox process Probability
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2011/9/5
Abstract: A fragmentation of a set $A$ is a graph with vertices labeled by subsets of $A$ which obey a certain parent-child relationship. A random fragmentation tree is a probability distribution on t...
Branching diffusion in inhomogeneous media
Branching diffusion inhomogeneous media Probability
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2011/8/26
Abstract: We investigate the long-time evolution of branching diffusion processes (starting with a finite number of particles) in inhomogeneous media. The qualitative behavior of the processes depends...