55 citations
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math-ph2019★ 4 cited
Dynamical Properties of Gaussian Chains and Rings with Long Range Interactions
Wolfgang Bock, Jinky Bornales, Ludwig Streit
Various authors have invoked discretized fractional Brownian (fBm) motion as a model for chain polymers with long range interaction of monomers along the chain. We show that for th…
math-ph2014★ 7 cited
Polymer Measure: Varadhan's Renormalization Revisited
Wolfgang Bock, Maria João Oliveira, José Luis da Silva +1
Through chaos decomposition we improve the Varadhan estimate for the rate of convergence of the centered approximate self-intersection local time of planar Brownian motion.
math-ph2003
The Feynman Integrand for the Perturbed Harmonic Oscillator as a Hida Distribution
Mario Cunha, Custodia Drumond, Peter Leukert +2
We review some basic notions and results of White Noise Analysis that are used in the construction of the Feynman integrand as a generalized White Noise functional. We show that th…