Insights from heterogeneous random walks: from theory to applications

Speaker : Liubov Tupikina
Nokia Bell Labs
Date: 12/02/2020
Time: 2:00 pm - 3:00 pm
Location: Paris-Rennes Room (EIT Digital)


First I will introduce our model, heterogeneous continuous time random walk (HCTRW) model as a versatile analytical formalism for studying and modeling diffusion processes in heterogeneous structures, such as porous or disordered media, multiscale or crowded environments, weighted graphs or networks.
After some theoretical results about this random walk model, diffusive dynamics and the spectral properties of the generalized transition matrix. In particular, we will talk about important property, the distribution of the first passage times changes due to local and global heterogeneities of the medium. The HCTRW formalism offers a unified mathematical language to address various diffusion-reaction problems, with numerous applications in material sciences, physics, chemistry, biology, and social sciences. We will also discuss some possible applications for mobility and epidemiological models.


I have been working in theoretical physics, mathematics, data analysis, computer science and applications to biology, climatology, social science, epidemiology and education. During my Phd I was working in Humboldt University and Potsdam Climate Institute in Marie-Curie project on developing network methods for big data analysis >here<, then I did several postdocs in Ecole Polytechnique working on transport in crowded environments (here) After I got fellowship at CRI to work on mobilit, epidemiological models and data analysis methods applied to metascience and health data. Some publications are here on Google Scholar.

Currently I am researcher in Bell labs in Data Analytics team.