Robert Adol'fovich Minlos

Object Extraction Using a Stochastic Birth-and-Death Dynamics in Continuum

We define a new birth and death dynamics dealing with configurations of disks in the plane. We prove the convergence of the continuous process and propose a discrete scheme converging to the continuous case. This framework is developed to address image processing problems consisting in detecting a configuration of objects from a digital image. The derived algorithm is applied for tree crown extraction and bird detection from aerial images. The performance of this approach is shown on real data.

Infrared Regular Representation of the Three-Dimensional Massless Nelson Model

We prove that in the Euclidean representation of the three-dimensional massless Nelson model, the t = 0 projection of the interacting measure is absolutely continuous with respect to a Gaussian measure with a suitably adjusted mean. We also determine the Hamiltonian in the Fock space over this Gaussian measure space.