Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Sidorova, Nadia"'
Autor:
Sidorova, Nadia
Balls and bins models are classical probabilistic models where balls are added to bins at random according to a certain rule. The balls and bins model with feedback is a non-linear generalisation of the P\'olya urn, where the probability of a new bal
Externí odkaz:
http://arxiv.org/abs/1809.02221
Autor:
Sidorova, Nadia
We consider a time-dependent version of a P\'olya urn containing black and white balls. At each time $n$ a ball is drawn from the urn at random and replaced in the urn along with $\sigma_n$ additional balls of the same colour. The proportion of white
Externí odkaz:
http://arxiv.org/abs/1807.04844
We investigate a variant of the parabolic Anderson model, introduced in previous work, in which an i.i.d.\! potential is partially duplicated in a symmetric way about the origin, with each potential value duplicated independently with a certain proba
Externí odkaz:
http://arxiv.org/abs/1612.09583
The parabolic Anderson model on $\mathbb{Z}^d$ with i.i.d. potential is known to completely localise if the distribution of the potential is sufficiently heavy-tailed at infinity. In this paper we investigate a modification of the model in which the
Externí odkaz:
http://arxiv.org/abs/1609.07421
Autor:
Sidorova, Nadia
We consider a Galton-Watson process with immigration $(\mathcal{Z}_n)$, with offspring probabilities $(p_i)$ and immigration probabilities $(q_i)$. In the case when $p_0=0$, $p_1\neq 0$, $q_0=0$ (that is, when $\text{essinf} (\mathcal{Z}_n)$ grows li
Externí odkaz:
http://arxiv.org/abs/1509.01486
Publikováno v:
In Stochastic Processes and their Applications November 2019 129(11):4704-4746
We show that an infinite Galton-Watson tree, conditioned on its martingale limit being smaller than $\eps$, agrees up to generation $K$ with a regular $\mu$-ary tree, where $\mu$ is the essential minimum of the offspring distribution and the random v
Externí odkaz:
http://arxiv.org/abs/1204.3080
Autor:
Sidorova, Nadia, Twarowski, Aleksander
Publikováno v:
Annals of Probability 2014, Vol. 42, No. 4, 1666-1698
The parabolic Anderson model is the Cauchy problem for the heat equation on the integer lattice with a random potential $\xi$. We consider the case when $\{\xi(z):z\in\mathbb{Z}^d\}$ is a collection of independent identically distributed random varia
Externí odkaz:
http://arxiv.org/abs/1204.1233
Publikováno v:
Annals of Probability 2009, Vol. 37, No. 1, 347-392
The parabolic Anderson problem is the Cauchy problem for the heat equation $\partial_tu(t,z)=\Delta u(t,z)+\xi(z)u(t,z)$ on $(0,\infty)\times {\mathbb{Z}}^d$ with random potential $(\xi(z):z\in{\mathbb{Z}}^d)$. We consider independent and identically
Externí odkaz:
http://arxiv.org/abs/1102.4921
We show that an infinite Galton-Watson tree, conditioned on its martingale limit being smaller than $\eps$, converges as $\eps\downarrow 0$ in law to the regular $\mu$-ary tree, where $\mu$ is the essential minimum of the offspring distribution. This
Externí odkaz:
http://arxiv.org/abs/1006.2315