https://www.maa.org/.../JBKellerD...
Mathematical Association of America
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by JB KELLER - Cited by 69 - Related articles
mathematics. Further information about the Feynman and Wiener integrals is contained in ... Eq. (Ll) is a linear partial difierential equation for K which is of first order in t ..... “geometrical optics,” or “time-independent W.K.B.” approximation to G.[PDF]Stochastic Integrals and Stochastic Differential Equations
www.stat.cmu.edu/~cshalizi/.../lecture-19.pdf
The drill by now should be familiar: first we define integrals of step functions, then we ... dard Wiener process, {Ft} the right-continuous completion of the natural filtra- tion of W ... depend on the history of W, and possibly some extra, independent random ... t ∈ [a, b] but 1 at rational times in the interval also has semi-norm 0.
Carnegie Mellon University
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Path integral - Scholarpedia
www.scholarpedia.org/article/Path_integral
Feb 11, 2015 - We first describe Brownian motion and Euclidean-time (i.e, .... given by a Euclidean-time path integral (Wiener 1923) that we denote by .... The remaining path integral is \(q'', q'\)-independent and gives then a simple normalization factor
Scholarpedia
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Volterra and Wiener series - Scholarpedia
www.scholarpedia.org/article/Volterra_and_Wiener_series
Oct 18, 2011 - The first-order Volterra operator is just a weighted sum of the input signal at ... they cannot be estimated independently of each other; in a Wiener series, ... series have to approximate the true system uniformly, whereas the Wiener .... The application of the Volterra series in its original continuous time form is ...
Scholarpedia
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[PDF]Brownian Motion and Stochastic Calculus
www.ntu.edu.sg/.../brownian-motion-...
whole Brownian history up to time s, hence Bt − Bs is in fact independent of Fs, s ..... In this section we extend the Wiener stochastic integral to square-integrable adapted ..... glected in Taylor's formula at the first order of approximation in dt.
Nanyang Technological University
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[PDF]A CONTINUOUS TIME APPROXIMATION TO .THE ...
https://www.princeton.edu/~erp/.../M335.pdf
Princeton University
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by P Perron - 1988 - Cited by 56 - Related articles
Consider the first—order autoregressive process yt = 0tyt_1 + et, yo a fixed. A ... Orhnstein—Uhlenbeck process dyt = Gytdt + csdwt where wt is a Weiner ... where y0 = b a fixed constant and the ct are independently and identically distributed[PDF]Ito's integral - Kansas State University
www.math.ksu.edu/~dmaldona/research/slides/ItoIntegral.pdf
Indeed, in order to define integration with ... approximation (as in the Lebesgue protocol) assisted by some ... B(t,ω) has independent increments, that is, for any ... Then, the Wiener integral IW of the step function f is the ... First take f ∈ L1(Rn), define f(ξ) := ... The σ-field Fs represents all the known/knowable events at time s.[PDF]C:\Documents and Settings\tokoye\My Documents\Structural ...
www.researchgate.net/...Wiener.../0deec5355af84570a9000000.pdf
by RV Roy - Cited by 5 - Related articles
Wiener integrals, which was first introduced by Wiener in 1958 in'his work on nonlinear ... two functionals are orthogonal if they are of different order or if the set {i1,..., .... where the time—independent matrices A, B,, and vectors a, b, are of .... lead to sequence of approximations of the response of the original system [18,
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