Matemática

Conditional moment matching approximations by stochastic bridges for exponential Brownian functionals

Nicolas Privault
Nanyang Technological Univ., Singapore

Abstract: Using Doob transform techniques we will derive closed-form expectations for exponential functionals of Brownian motion in several settings, including Brownian motion on matrix Lie groups. We will also propose numerical approximations constructed by conditional moment matching and stochastic bridges, which turn out to be numerically more stable than closed form expressions.
Applications to option pricing will be mentioned.

Equilibrium and Euler-Lagrange equation for hyperelastic materials

Elvira Zappale
Universidade de Salerno

Abstract: By means of duality we prove existence and uniqueness of equilibrium for energies described by integral functionals which fail to be convex. This analysis is motivated by some physical models of elastic materials (cf. for istance [2, 4]) and the techniques generalize the methods first introduced in [5, 1]. A suitable Euler Lagrange equation characterizing the minimizers is derived.

Joint work with G. Carita and G. Pisante

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