2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56618We introduce a statistical ensemble for a single vortex filament of a three dimensional incompressible fluid. The core of the vortex is modelled by a quite generic stochastic process. We prove the existence of the partition function for both positive and a limited range of negative temperatures.32 pages, submitted to Prob. Th. and Rel. Fields, minor typo correctionsMathematical PhysicsProbability60G35; 76F55text