Stochastic Loewner evolutions (SLEκ) are random growth processes of domains in the two dimensional upper half plane which represent critical clusters. We elaborate and develop a relation between SLEκ evolutions and conformal field theories (CFT) which is based on a group theoretical formulation of SLEκ processes and on the identification of the proper hull boundary states. This allows us to def...

Surface fairing, generating free-form surfaces satisfying aesthetic requirements, is important for many computer graphics and geometric modeling applications. A common approach for fair surface design consists of minimization of fairness measures penalizing large curvature values and curvature oscillations. The paper develops a numerical approach for fair surface modeling via curvature-driven e...

We analyze the time–dependent solutions of the pseudo–differential Lévy–Schrödinger wave equation in the free (force-less) case, and we compare them with the associated Lévy processes. We first list the principal laws used to describe the time evolutions of both Lévy process densities and Lévy–Schrödinger wave packets. To have self–adjoint generators and unitary evolutions we will consider only...

We consider the random evolution described by motion of a particle moving on circle alternating angular velocities ±c and changing rotation at Poisson times, resulting in telegraph process over circle. study analytic properties semigroup it generates as well its probability distribution. The asymptotic behavior wrapped is also discussed terms circular Brownian motion. Besides, possible to deriv...