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We introduce and physically motivate the following problem in geometric combinatorics, originally inspired by analysing Bell inequalities. A grasshopper lands at a random point on a planar lawn of area 1. It then jumps once, a...

Bell inequalities geometric combinatorics spin models statistical physics

Drug Discovery random matrix theory protein–ligand affinity computational pharmacology statistical physics

Abstract: Multivariate information decompositions hold promise to yield insight into complex systems, and stand out for their ability to identify synergistic phenomena. However, the adoption of these approaches has been hindered...

Paper statistical physics Complex systems synergy information theory high-order statistics partial information decomposition

computational science soft materials statistical physics thermodynamics and nonlinear dynamics

Abstract The asymptotic partition function for quantized abelian Higgs vortices at high temperature T is found to leading and subleading order, and from...

Paper statistical physics abelian Higgs vortices quantum statistical mechanics moduli space

Abstract: Multivariate information decompositions hold promise to yield insight into complex systems, and stand out for their ability to identify synergistic phenomena. However, the adoption of these approaches has been hindered...

Paper statistical physics Complex systems synergy information theory high-order statistics partial information decomposition

Applied Mathematics biological physics fluid dynamics statistical physics

computational science phase transitions and critical phenomena statistical physics

Abstract We study the problem of assortative and disassortative partitions on random d-regular graphs. Nodes in the graph are partitioned into two...

Paper statistical physics random graphs Phase transitions partitions cavity method disordered systems message passing algorithms