Tootfinder

Exploration and aging of non-Markovian processes
Julien Br\'emont
https://arxiv.org/abs/2507.19937 https://arxiv.org/pdf/2507.19937

Exploration and aging of non-Markovian processes
This thesis explores a central question: how does memory affect the way random walkers explore space? By analyzing various non-Markovian models, where past behavior directly influences future dynamics, we uncover new mechanisms and universal patterns in space exploration. In the first part, we study Locally Activated Random Walks (LARWs), where motion depends on the time spent at visited sites. These walks, though simply defined, display rich behaviors such as dynamical trapping, aging, and n…

On different platforms, I see at least one post per day of someone willing to switch to #Linux. While seeing our community growing is nice, my first reaction is always: why didn't you take 3 seconds to read the post just before yours?
I may just become too old and grumpy but, generally speaking, I don't understand people who immediatly ask a question that has been answered thous…