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Chaotic decompositions in $ℤ_{2}$ -graded quantum stochastic calculus

Timothy Eyre (1998)

Banach Center Publications

A brief introduction to $ℤ_{2}$ -graded quantum stochastic calculus is given. By inducing a superalgebraic structure on the space of iterated integrals and using the heuristic classical relation df(Λ) = f(Λ + dΛ) - f(Λ) we provide an explicit formula for chaotic expansions of polynomials of the integrator processes of $ℤ_{2}$ -graded quantum stochastic calculus.

Characterization of unitary processes with independent and stationary increments

Lingaraj Sahu, Kalyan B. Sinha (2010)

Annales de l'I.H.P. Probabilités et statistiques

This is a continuation of the earlier work (Publ. Res. Inst. Math. Sci.45 (2009) 745–785) to characterize unitary stationary independent increment gaussian processes. The earlier assumption of uniform continuity is replaced by weak continuity and with technical assumptions on the domain of the generator, unitary equivalence of the process to the solution of an appropriate Hudson–Parthasarathy equation is proved.

Coassociative grammar, periodic orbits, and quantum random walk over $ℤ$ .

Leroux, Philippe (2005)

International Journal of Mathematics and Mathematical Sciences

Continuous interpolation of solution sets of Lipschitzian quantum stochastic differential inclusions.

Ayoola, E.O., Adeyeye, John O. (2007)

Journal of Applied Mathematics and Stochastic Analysis

Displaying 1 – 4 of 4

Chaotic decompositions in ℤ 2 -graded quantum stochastic calculus

Characterization of unitary processes with independent and stationary increments

Coassociative grammar, periodic orbits, and quantum random walk over ℤ .

Continuous interpolation of solution sets of Lipschitzian quantum stochastic differential inclusions.

Currently displaying 1 – 4 of 4

Chaotic decompositions in $ℤ_{2}$ -graded quantum stochastic calculus

Coassociative grammar, periodic orbits, and quantum random walk over $ℤ$ .