Classification of particle trajectories in living cells: Machine learning versus statistical testing hypothesis for fractional anomalous diffusion
Single-particle tracking (SPT) has become a popular tool to study the intracellular transport
of molecules in living cells. Inferring the character of their dynamics is important, because it …
of molecules in living cells. Inferring the character of their dynamics is important, because it …
Epidemic dynamics on higher-dimensional small world networks
Dimension governs dynamical processes on networks. The social and technological
networks which we encounter in everyday life span a wide range of dimensions, but studies …
networks which we encounter in everyday life span a wide range of dimensions, but studies …
Large deviations and wandering exponent for random walk in a dynamic beta environment
Random walk in a dynamic iid beta random environment, conditioned to escape at an
atypical velocity, converges to a Doob transform of the original walk. The Doob-transformed …
atypical velocity, converges to a Doob transform of the original walk. The Doob-transformed …
Random walks on dynamical random environments with nonuniform mixing
O Blondel, MR Hilário, A Teixeira - 2020 - projecteuclid.org
In this paper, we study random walks on dynamical random environments in 1+1
dimensions. Assuming that the environment is invariant under space-time shifts and fulfills a …
dimensions. Assuming that the environment is invariant under space-time shifts and fulfills a …
Random walk on the simple symmetric exclusion process
MR Hilário, D Kious, A Teixeira - Communications in Mathematical …, 2020 - Springer
We investigate the long-term behavior of a random walker evolving on top of the simple
symmetric exclusion process (SSEP) at equilibrium, in dimension one. At each jump, the …
symmetric exclusion process (SSEP) at equilibrium, in dimension one. At each jump, the …
RANDOM WALK ON RANDOM WALKS
O Blondel, MR Hilário, RS dos Santos… - The Annals of Applied …, 2020 - JSTOR
We consider a random walker in a dynamic random environment given by a system of
independent discrete-time simple symmetric random walks. We obtain ballisticity results …
independent discrete-time simple symmetric random walks. We obtain ballisticity results …
Quenched CLT for ancestral lineages of logistic branching random walks
M Birkner, A Depperschmidt, T Schlüter - arXiv preprint arXiv:2403.08567, 2024 - arxiv.org
We consider random walks in dynamic random environments which arise naturally as
spatial embeddings of ancestral lineages in spatial locally regulated population models. In …
spatial embeddings of ancestral lineages in spatial locally regulated population models. In …
Random walks on random walks: non-perturbative results in high dimensions
SA Bethuelsen, F Völlering - arXiv preprint arXiv:2411.13926, 2024 - arxiv.org
Consider the dynamic environment governed by a Poissonian field of independent particles
evolving as simple random walks on $\mathbb {Z}^ d $. The random walk on random walks …
evolving as simple random walks on $\mathbb {Z}^ d $. The random walk on random walks …
[图书][B] In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius
ME Vares, R Fernández, LR Fontes, CM Newman - 2021 - Springer
Vladas was born in Vilnius, Lithuania, on August 23, 1963, and did his undergraduate
studies in Mathematics from 1982 to 1985 at Vilnius University. There, in 1986, he received …
studies in Mathematics from 1982 to 1985 at Vilnius University. There, in 1986, he received …
Fluctuation bounds for symmetric random walks on dynamic environments via Russo-Seymour-Welsh
In this article, we prove a lower bound for the fluctuations of symmetric random walks on
dynamic random environments in dimension $1+ 1$ in the perturbative regime where the …
dynamic random environments in dimension $1+ 1$ in the perturbative regime where the …