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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Analytical chemistry 20 (1948), S. 610-613 
    ISSN: 1520-6882
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Industrial & engineering chemistry 42 (1950), S. 2223-2227 
    ISSN: 1520-5045
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 47 (1943), S. 645-649 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Industrial & engineering chemistry 43 (1951), S. 1126-1129 
    ISSN: 1520-5045
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 104 (1986), S. 471-507 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We study intersection properties of multi-dimensional random walks. LetX andY be two independent random walks with values in ℤ d (d≦3), satisfying suitable moment assumptions, and letI n denote the number of common points to the paths ofX andY up to timen. The sequence (I n ), suitably normalized, is shown to converge in distribution towards the “intersection local time” of two independent Brownian motions. Results are applied to the proof of a central limit theorem for the range of a two-dimensional recurrent random walk, thus answering a question raised by N. C. Jain and W. E. Pruitt.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 104 (1986), S. 509-528 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract LetI n denote the number of common points to the paths, up to timen, of two independent random walks with values in ℤ4. The sequence (logn)−1 I n is shown to converge in distribution towards the square of a normal variable. Limit theorems are also proved for some processes related to the sequence (I n ), which lead to a better understanding of recent results obtained by G.F. Lawler. Similar statements are proved for the paths of three independent random walks with values in ℤ3.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 93 (1992), S. 231-247 
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary LetB=(B t,t≧0) be a planar Brownian motion and let α〉0. For anyt≧0, the pointz=B t is called a one-sided cone point with angle α if there exist ε〉0 and a wedgeW(α,z) with vertexz and angle α such thatB s∈W(α,z) for everys∈[t, t+ε]. Burdzy and Shimura have shown independently that one-sided cone points with angle α exist when α〉π/2 but not when α〈π/2. The present paper deals with the critical case α=π/2. We show that cone points with angle π/2 do not exist.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 95 (1993), S. 25-46 
    ISSN: 1432-2064
    Keywords: 60 J 25 ; 60 J 45 ; 60 G 57 ; 60 J 60 ; 60 J 80
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Let (ξ s ) be a continuous Markov process satisfying certain regularity assumptions. We introduce a path-valued strong Markov process associated with (ξ s ), which is closely related to the so-called superprocess with spatial motion (ξ s ). In particular, a subsetH of the state space of (ξ s ) intersects the range of the superprocess if and only if the set of paths that hitH is not polar for the path-valued process. The latter property can be investigated using the tools of the potential theory of symmetric Markov processes: A set is not polar if and only if it supports a measure of finite energy. The same approach can be applied to study sets that are polar for the graph of the superprocess. In the special case when (ξ s ) is a diffusion process, we recover certain results recently obtained by Dynkin.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 78 (1988), S. 389-402 
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We consider the following heat conduction problem. Let K be a compact set in Euclidean space ℝ3. Suppose that K is held at the temperature 1, while the surrounding medium is at the temperature 0 at time 0. Following Spitzer we investigate the asymptotic behaviour of the integral E K (t) which represents the total energy flow in time t from the set K to the surrounding medium ℝ3−K. An asymptotic expansion is given for E K (t) which refines a theorem due to Spitzer. This expansion also verifies and improves a formal calculation of Kac. Similar results are proved in higher dimensions. Up to the constant m(K), the quantity E K (t) can be interpreted as the expected value of the volume of the Wiener sausage associated with K and a d-dimensional Brownian motion. This point of view both plays a major role in the proofs and leads to a probabilistic interpretation of the different terms of the expansion.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 71 (1986), S. 183-229 
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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