Riemann surfaces for KPZ with periodic boundaries

Riemann surfaces for KPZ with periodic boundaries

Blog Article

The Riemann surface for polylogarithms of half-integer index, which has the topology of an infinite dimensional hypercube, is studied in relation to one-dimensional KPZ universality in finite Conversation Set volume.Known exact results for fluctuations of the KPZ height with periodic boundaries are expressed Moisturizing oil-mist in terms of meromorphic functions on this Riemann surface, summed over all the sheets of a covering map to an infinite cylinder.Connections to stationary large deviations, particle-hole excitations and KdV solitons are discussed.