Skip to main content

Research Repository

Advanced Search

Outputs (39)

Fluctuations of shapes of large areas under paths of random walks (1996)
Journal Article
Dobrushin, R., & Hryniv, O. (1996). Fluctuations of shapes of large areas under paths of random walks. Probability Theory and Related Fields, 105(4), 423-458. https://doi.org/10.1007/bf01191908

We discuss statistical properties of random walks conditioned by fixing a large area under their paths. We prove the functional central limit theorem (invariance principle) for these conditional distributions. The limiting Gaussian measure coincides... Read More about Fluctuations of shapes of large areas under paths of random walks.

Wakimoto modules for the affine superalgebra sl(2/1) and non-critical N = 2 Strings. (1996)
Journal Article
Bowcock, P., Koktava, R. K., & Taormina, A. (1996). Wakimoto modules for the affine superalgebra sl(2/1) and non-critical N = 2 Strings. Physics Letters B, 388(2), 303-308. https://doi.org/10.1016/s0370-2693%2896%2901103-3

Free field representations of the affine superalgebra A(1, 0)(1) at level k corresponding to two inequivalent choices of the simple roots are shown to be related by nonlinear canonical field transformations, both at the classical and at the quantum l... Read More about Wakimoto modules for the affine superalgebra sl(2/1) and non-critical N = 2 Strings..