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On the distribution of exponential functionals for Levy processes with jumps of rational transform
exponential functionals Levy processes rational transform
2010/11/22
We derive explicit formulas for the Mellin transform and the distribution of the exponential functional for Levy processes with rational Laplace exponent. This extends recent results by Cai and Kou o...
Dynamics of a rational multi-parameter second order difference equation with cubic numerator and quadratic monomial denominator
Dynamics rational multi-parameter second order difference equation
2010/11/22
The asymptotic behavior (such as convergence to an equilibrium, convergence to a 2-cycle, and divergence to infinity) of solutions of the following multi-parameter, rational, second order difference e...
Supports of representations of the rational Cherednik algebra of type A
representations rational Cherednik algebra of type A
2011/1/21
We first consider the rational Cherednik algebra corresponding to the action of a finite group on a complex variety, as defined by Etingof. We define a category of representations of this algebra whic...
Real Gromov-Witten Invariants on the Moduli Space of Genus 0 Stable Maps to a Smooth Rational Projective Space
Gromov-Witten invariant enumerative invariant transversality intersection multiplicity real structure
2010/2/25
We characterize transversality, non-transversality properties on the moduli space of genus 0 stable maps to a rational projective surface. If a target space is equipped with a real structure, i.e, ant...