# Daniel Kious

## Information

Lecturer at the University of Bath. Here is a link to Prob-L@B.

Here is my CV.

**Email:** d.kious@bath.ac.uk

**Phone: ** 01225 38 6186

**Office:** 6 West 1.23

## Research Interests

Probability: Random walks with self-interaction, Random walks in random environment, Random walks in dynamic random environment, Reinforcement learning

## Publications

16- Coexistence of lazy frogs on Z, with Mark Holmes, 2021, *Journal of Applied Probability (to appear)*

15- The trace-reinforced ants process does not find shortest paths 2021, with C. Mailler and B. Schapira, *Journal de l'Ecole Polytechnique (to appear).*

14- Finding geodesics on graphs using reinforcement learning, 2020, with C. Mailler and B. Schapira, *Annals of Applied Probability (to appear)*.

13- Random Memory Walk, with A. Fribergh, V. Sidoravicius and A. Stau*ffer**, 2**020, **In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius**,** 439-453**.*

12- Random walk on the simple symmetric exclusion process, with M. Hilário and A. Teixeira, 2020, *Communications in Mathematical Physics, ***379**, 61-101.

11-A Monotonicity Property for Once Reinforced Biased Random Walk on Z^d, with Mark Holmes, 2019, *Sojourns in Probability Theory and Statistical Physics - III*, pp 255-273, Springer

10- The branching-ruin number as critical parameter of random processes on trees, with A. Collevecchio and C.-B. Huynh, 2018, *Electronic Journal of Probability (to appear).*

9- Once reinforced random walk on ZxΓ, with B. Schapira and A. Singh, 2018, *preprint*

8- Explicit formula for the density of local times of Markov Jump Processes, with R. Huang, P. Tarrès* *and V. Sidoravicius, 2018, *Electronic Communications in Probability, ***23 (90)***.*

7- The branching-ruin number and the critical parameter of once-reinforced random walk on trees, with A. Collevecchio and V. Sidoravicius, 2019, * Communications on Pure and Applied Mathematics* (to appear)*.*

6- On the speed of once-reinforced biased random walk on trees, with Andrea Collevecchio and Mark Holmes, 2018, *Electronic Journal of Probability, ***23 (86)**.

5- Phase transition for the Once-reinforced random walk on Z^d-like trees, with Vladas Sidoravicius, 2018, *The Annals of Probability*, **46 (4)**, 2121--2133.

4- Scaling limits for sub-ballistic biased random walks in random conductances, with Alex Fribergh, 2018, *The Annals of Probability*, **46 (2)**, 605--686.

3- Reinforcement learning in social networks, with Pierre Tarrès, 2015, *preprint.*

2- Local trapping for elliptic random walks in random environments in Z^d, with Alex Fribergh, 2014, *Probability Theory and Related Fields*, **165(3),** 795--834, or on arXiv.

1- Stuck Walks: a conjecture of Erschler, Tóth and Werner, 2016, *The Annals of Probability*, **44(2)**, 883--923.

0- PhD Thesis: I defended my PhD in June 2014 at the IMT, Université Paul Sabatier, Toulouse, under the supervision of Pierre Tarrès. Here is the manuscript.

## Postdoc

-Guillaume Conchon-Kerjan, started July 2021. Funded by EPSRC grant.

## PhD Students

-Carlo Scali, started Sept. 2020, SAMBa student.

-Pawel Rudnicki, started Sept. 2020, URSA funded, SAMBa-aligned.

## Miscellaneous

I have written in 2016 a short article for the CIJM, a french committee for the popularization of Mathematics, on the theme of "Social networks".