Research
Probability and statistical mechanics, from growing clusters to phase transitions in the Ising model.
A component proof of Ursell-function monotonicity
A revision to our Lee–Yang paper: removing a random-current component turns the monotonicity argument into an induction on smaller graphs.
note#probability#statistical-mechanics
Cluster–cluster aggregation
My Master's thesis under Noam Berger: how slowly moving clusters grow, what geometry they leave behind, and how momentum changes the dynamics.
in progress#probability#statistical-mechanics
The lattice outburst process
How a lattice infection model helps bound cluster growth and its moments.
in progress#probability
Two gaps in the Ising model
How the distance to a complex zero of the partition function controls the length scale of correlations—and the proof detour that made the comparison work.
preprint#mathematical-physics#statistical-mechanics