作者: acrobat 時(shí)間: 2025-3-21 21:17
Generalised Stochastic Processes and Their Distributions,unctionals on the space of test functions. A secondary aim of this chapter is to provide a discussion of the generalised stochastic process white noise from several points of view (§§3.3, 3.4), this serving as background to much of what will be considered in the next chapter.作者: 不容置疑 時(shí)間: 2025-3-22 00:54
Book 1980be some of these, as well as to offer suggestions concerning future problems which he hoped would stimulate readers working in this field. For these reasons, Chapter 8 was added. Apart from the additional chapter and a few minor changes made by the author, this translation closely follows the text o作者: bacteria 時(shí)間: 2025-3-22 06:20
Book 1980s which have passed since this description, Brownian motion has become an object of study in pure as well as applied mathematics. Even now many of its important properties are being discovered, and doubtless new and useful aspects remain to be discovered. We are getting a more and more intimate understanding of Brownian motion.作者: 猛擊 時(shí)間: 2025-3-22 09:41
,Nonfiction by Martin Amis, 1971–2005, readily in standard texts will be stated without proof, or with only an outline of the proof. For further details of these, as well as related topics, the reader is referred to such books as K.lt? (1953c), W. Feller (1968,1971), and J. L. Doob (1953).作者: 紳士 時(shí)間: 2025-3-22 14:12
Background, readily in standard texts will be stated without proof, or with only an outline of the proof. For further details of these, as well as related topics, the reader is referred to such books as K.lt? (1953c), W. Feller (1968,1971), and J. L. Doob (1953).作者: Guileless 時(shí)間: 2025-3-22 19:55 作者: 悲觀 時(shí)間: 2025-3-22 21:12 作者: epinephrine 時(shí)間: 2025-3-23 04:31
0172-4568 to describe some of these, as well as to offer suggestions concerning future problems which he hoped would stimulate readers working in this field. For these reasons, Chapter 8 was added. Apart from the additional chapter and a few minor changes made by the author, this translation closely follows 作者: 充氣球 時(shí)間: 2025-3-23 06:33
https://doi.org/10.1007/978-1-4612-6030-1Brownian motion; Brownsche Bewegung; Gaussian distribution; Martingale; Probability distribution; Probabi作者: Sigmoidoscopy 時(shí)間: 2025-3-23 11:08 作者: 機(jī)制 時(shí)間: 2025-3-23 14:00 作者: Accolade 時(shí)間: 2025-3-23 18:42
https://doi.org/10.1007/978-3-476-03851-7As in the last chapter . denotes a nuclear space which is dense in .(.). We write .. and . for the complexification of . and the dual space of .., respectively, and let . be complex white noise.作者: cushion 時(shí)間: 2025-3-24 01:01
Functionals of Brownian Motion,We are going to discuss those functionals, in general non-linear, of Brownian motion, which can be expressed in the form:..作者: 預(yù)知 時(shí)間: 2025-3-24 05:14
The Rotation Group,Once again we begin with the triple . ? .(.) ? .* where as in §3.1, . is a real nuclear space with dual space .* and the two spaces are linked by the canonical bilinear form <. >, . ? .*, . ? ..作者: dissent 時(shí)間: 2025-3-24 09:12 作者: 是限制 時(shí)間: 2025-3-24 12:41
Causal Calculus in Terms of Brownian Motion,nals. Our approach is along the lines of the so-called ., where the passage of time is taken into account in the analysis of functionals of Brownian motion, and we begin the discussion by setting out our general point of view.作者: 清唱?jiǎng)?nbsp; 時(shí)間: 2025-3-24 17:37 作者: 機(jī)械 時(shí)間: 2025-3-24 21:09
Brownian Motion978-1-4612-6030-1Series ISSN 0172-4568 Series E-ISSN 2197-439X 作者: Limousine 時(shí)間: 2025-3-24 23:29 作者: Forsake 時(shí)間: 2025-3-25 04:56 作者: 高興一回 時(shí)間: 2025-3-25 09:42
Martin Amis: Postmodernism and Beyond), and then go on to deal with important aspects of Brownian motion such as its sample path (§2.2) and Markov properties (§2.4). It is through these discussions that we can appreciate the place of Brownian motion within the class of all stochastic processes and, in particular, Gaussian processes. Tw作者: 云狀 時(shí)間: 2025-3-25 11:48 作者: 芳香一點(diǎn) 時(shí)間: 2025-3-25 15:53 作者: 減少 時(shí)間: 2025-3-25 22:08 作者: VOK 時(shí)間: 2025-3-26 02:36
Background,ther generality or completeness. Those concepts which provide motivation, or which are basic to our approach, are illustrated to some extent, whilst others will only be touched upon briefly. For example, certain specific properties of an infinite-dimensional probability measure (§1.3, (iii)) are dis作者: 辭職 時(shí)間: 2025-3-26 06:26 作者: NAUT 時(shí)間: 2025-3-26 10:55 作者: Flinch 時(shí)間: 2025-3-26 16:08
Complex White Noise,und to such systems. We then observe that complex white noise, the white noise of Chapter 3 complexified, is a complex Gaussian system. Functionals of complex white noise may also be viewed as functionals of complex Brownian motion and the analysis of such functionals is not only useful in the study作者: Scintigraphy 時(shí)間: 2025-3-26 17:15 作者: assail 時(shí)間: 2025-3-26 22:36 作者: Fortuitous 時(shí)間: 2025-3-27 04:10
Outstanding Contributions to Logicnite-dimensional rotation group did in describing properties of white noise (§7.1). For added interest, this group is intimately related to aspects of the theory of differential equations and quantum mechanics (§7.5–7.6).作者: 教唆 時(shí)間: 2025-3-27 08:25
Complex White Noise,nite-dimensional rotation group did in describing properties of white noise (§7.1). For added interest, this group is intimately related to aspects of the theory of differential equations and quantum mechanics (§7.5–7.6).作者: 策略 時(shí)間: 2025-3-27 13:31
8樓作者: Meditate 時(shí)間: 2025-3-27 13:38
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10樓
