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The Explicit Chaotic Representation of the powers of increments of Lévy Processes
, 2008
"... An explicit formula for the chaotic representation of the powers of increments, (Xt+t0 − Xt0)n, of a Lévy process is presented. There are two different chaos expansions of a square integrable functional of a Lévy process: one with respect to the compensated Poisson random measure and the other with ..."
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An explicit formula for the chaotic representation of the powers of increments, (Xt+t0 − Xt0)n, of a Lévy process is presented. There are two different chaos expansions of a square integrable functional of a Lévy process: one with respect to the compensated Poisson random measure and the other
8h x.t `0
"... 1 2n of acceptable caches rather than an algorithm that compu e resulting specification is what is found, for example, in Niel al. (1999): bC  = ce x ` iff b C(x, ce(x)) ✓ b C(`,) bC  = ce ( x.e) ` iff h x.e, ce 0 i2b C(`,) where ce 0 = ce fv ( x.e) bC  = ce (t `1 t `2 iff b C = ce t ..."
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1 2n of acceptable caches rather than an algorithm that compu e resulting specification is what is found, for example, in Niel al. (1999): bC  = ce x ` iff b C(x, ce(x)) ✓ b C(`,) bC  = ce ( x.e) ` iff h x.e, ce 0 i2b C(`,) where ce 0 = ce fv ( x.e) bC  = ce (t `1 t `2 iff b C = ce t
(Xt)t≥0, (Ft)t≥0
, 2004
"... , and (St) (resp. (It)), be the one sidedmaximum (resp. minimum), (L0t) the local time at 0, and (Dt) the number of downcrossings from b to a (with b> a). Let f: R×Rd −→]0,+∞ [ be a Borel function, and (At) be a process chosen within the set: (St); (St, t); (L0t); (St, It, L ..."
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, and (St) (resp. (It)), be the one sidedmaximum (resp. minimum), (L0t) the local time at 0, and (Dt) the number of downcrossings from b to a (with b> a). Let f: R×Rd −→]0,+∞ [ be a Borel function, and (At) be a process chosen within the set: (St); (St, t); (L0t); (St, It, L
x: T → R: [x(t) − p(t)x(k(t))] ∆ ∈ Crd([t0,∞)T;R)
"... Abstract. We investigate the boundedness and asymptotic behavior of a firstorder neutral delay dynamic equation on arbitrary time scales, extending some results from difference equations. 1. Neutral Delay Dynamic Equation We consider, on arbitrary time scales, the neutral delay dynamic equation (1. ..."
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.1) [x(t) − p(t)x(k(t))] ∆ + q(t)x(`(t)) = 0, t ∈ [t0,∞)T, where T is a time scale unbounded above, the variable delays k, ` : [t0,∞)T → T are nondecreasing with k(t), `(t) < t for all t ∈ [t0,∞)T such that limt→ ∞ k(t), `(t) =∞. The coefficient functions p, q: T → R are rightdense continuous
x(t, x0, u(t)). On définit un ordre partiel ≽ dans Rn + tel que si
"... La solution de ( 1) ayant pour condition initiale x0 ∈ Rn et pour entrée u(t) : R+ → U sera noté ..."
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La solution de ( 1) ayant pour condition initiale x0 ∈ Rn et pour entrée u(t) : R+ → U sera noté
Stratego/XT 0.16. Components for transformation systems
 In ACM SIGPLAN 2006 Workshop on Partial Evaluation and Program Manipulation (PEPM’06
, 2006
"... Stratego/XT is a language and toolset for program transformation. The Stratego language provides rewrite rules for expressing basic transformations, programmable rewriting strategies for controlling the application of rules, concrete syntax for expressing the patterns of rules in the syntax of the o ..."
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Cited by 41 (11 self)
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for deriving new components. Complete program transformation systems are composed from these components. In this paper we give an overview of Stratego/XT 0.16.
Stratego/XT 0.17  A Language and Toolset for Program Transformation
 SCIENCE OF COMPUTER PROGRAMMING, SPECIAL ISSUE ON EXPERIMENTAL SYSTEMS AND TOOLS
, 2008
"... ..."
$X=t^{2}+x_{1}t^{1}+x_{0}+x_{1}t+x_{2}t^{2}+\cdots $ $(x_{i}\in \mathbb{Q}) $. (2)
"... canonical power series ..."
Transversality in elliptic Morse theory for the symplectic action
, 1999
"... Our goal in this paper is to settle some transversality question for the perturbed nonlinear CauchyRiemann equations on the cylinder. These results play a central role in the definition of symplectic Floer homology and hence in the proof of the Arnold conjecture. There is currently no other referen ..."
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Cited by 155 (11 self)
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of M defined by \Psi X (x; ¸) = Z 1 0 !( x(t) \Gamma X t (x(t)); ¸(t)) dt for ¸ 2 T x L = C 1 ...
Results 1  10
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2,105