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Condition R and proper holomorphic maps between equidimensional product domains
Condition R proper holomorphic maps equidimensional product domains Complex Variables
2012/4/17
We consider proper holomorphic mappings of equidimensional pseudoconvex domains in complex Euclidean space, where both source and target can be represented as Cartesian products of smoothly bounded do...
On ASEP with Periodic Step Bernoulli Initial Condition
ASEP Periodic Step Bernoulli Initial Condition
2010/12/3
In the asymmetric simple exclusion process (ASEP) on the integers Z a particle waits exponential time, then moves to the right with probability p if that site is unoccupied (or else stays put) or to t...
Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition
Exceptional orthogonal polynomials QHJ formalism SWKB quantization condition
2010/12/3
We study the quantum Hamilton-Jacobi structure of the recently obtained exactly solvable models, related to the newly discovered exceptional polynomials. The fact that the eigenfunctions have zeros an...
A Local Minimum Energy Condition of Hexagonal Circle Packing
Packing Energy Convex function
2010/1/25
A sufficient condition for the energy of a point such that a local minimum of the energy exists at every triangular lattice point is obtained. The condition is expressed as a certain type of strong c...