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Lagrangian blow-ups, blow-downs, and applications to real packing
Lagrangian blow-ups blow-downs applications real packing
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2011/1/18
Given a symplectic manifold (M; !) and a Lagrangian submanifold L, we construct versions of the symplectic blow-up and blow-down which are defined relative to L.
Transmutations and Applications: a survey
Transmutations Applications: a survey
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2011/2/22
In this survey we consider main transmutation theory topics with many applications, including author’s own results. The topics covered are: transmutations for Sturm–Liouville operators,
Vekua–Erdelyi...
On the equivariant implicit function theorem with low regularity and applications to geometric variational problems
equivariant implicit function theorem low regularity and applications variational problems
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2010/12/14
We prove an implicit function theorem for functions on infinite dimensional Banach manifolds, invariant under the (local) action of a finite dimensional Lie group. Motivated by some geometric variatio...
Applications of variational analysis to a generalized Fermat-Torricelli problem
Variational analysis and optimization generalized Fermat-Torricelli problem
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2010/12/1
In this paper we develop new applications of variational analysis and generalized differ-
entiation to the following optimization problem and its specifications: given n closed subsets of a Banach sp...
Occupation and Local Times for Skew Brownian Motion with Applications to Dispersion Across an Interface
Skew Brownian motion advection-diffusion local time
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2010/12/14
Advective skew dispersion is a natural Markov process defined by a diffusion with drift across an interface of jump discontinuity in a piecewise constant diffusion coefficient.