Pedro Harunari

closing a chapter 🇱🇺

another day, another result proven by the log-sum inequality

The technical details can get quite dense, but our "main result" section will smoothly walk you through the essentials 😉

Big kudos to my collaborators Sara, Vivien and Matteo!

Mutual Multilinearity of Nonequilibrium Network Currents Continuous-time Markov chains have been successful in modelling systems across numerous fields, with currents being fundamental entities that describe the flows of energy, particles, individuals, chem...

Last year in PRL, we uncovered a surprising linear relation between network currents upon controlling a single edge.

Now we extend it to multiple edges, ultimately reaching Kirchhoff's current law!

arxiv.org/abs/2502.04298