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Bramson, M.1
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An Absorption Problem for Several Brownian Motions
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edited by E. Çinlar, K. L. Chung, and M. J. Sharpe Birkhäuser, Boston
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Walks, Walls, Wetting, and Melting
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Galambos, J.1
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10
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0004273896
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Wiley, New York
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For a general introduction to the statistics of extremes, see J. Galambos, The Asymptotic Theory of Extreme Order Statistics (Krieger, Malabar, FL, 1987). For a more recent discussion of extreme statistics with applications to many types of records, see B. C. Arnold, N. Balakrishnan, and H. N. Nagaraja, Records (Wiley, New York, 1998).
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First exit time from the square root boundary
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Breiman, L.1
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12
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0001456827
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The minimum of a stationary Markov superimposed on a U-shape trend
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Brownian first exit from sojourn over one sided moving boundary and application
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L. Breiman, "First exit time from the square root boundary," in Proc. Fifth Berkeley Symp. Math. Statist. and Probab. (1966) Vol. 2, pp. 9-16; H. E. Daniels, "The minimum of a stationary Markov superimposed on a U-shape trend," J. Appl. Probab. 6, 399-408 (1969); K. Uchiyama, "Brownian first exit from sojourn over one sided moving boundary and application," Z. Wahrscheinlichkeitstheor. Verwandte Geb. 54, 75-116 (1980); P. Salminen, "On the hitting time and the exit time for a Brownian motion to/from a moving boundary," Adv. Appl. Probab. 20, 411-426 (1988).
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Uchiyama, K.1
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14
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0001364639
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On the hitting time and the exit time for a Brownian motion to/from a moving boundary
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L. Breiman, "First exit time from the square root boundary," in Proc. Fifth Berkeley Symp. Math. Statist. and Probab. (1966) Vol. 2, pp. 9-16; H. E. Daniels, "The minimum of a stationary Markov superimposed on a U-shape trend," J. Appl. Probab. 6, 399-408 (1969); K. Uchiyama, "Brownian first exit from sojourn over one sided moving boundary and application," Z. Wahrscheinlichkeitstheor. Verwandte Geb. 54, 75-116 (1980); P. Salminen, "On the hitting time and the exit time for a Brownian motion to/from a moving boundary," Adv. Appl. Probab. 20, 411-426 (1988).
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Salminen, P.1
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Anisotropic critical phenomena in parabolic geometries: The directed self-avoiding walk
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L. Turban, "Anisotropic critical phenomena in parabolic geometries: The directed self-avoiding walk," J. Phys. A 25, L127-L134 (1992); F. Iglói, "Directed polymer inside a parabola: Exact solution," Phys. Rev. A 45, 7024-7029 (1992); F. Iglói, I. Peschel, and L. Turban, "Inhomogeneous systems with unusual critical behaviour," Adv. Phys. 42, 683-740 (1993).
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L. Turban, "Anisotropic critical phenomena in parabolic geometries: The directed self-avoiding walk," J. Phys. A 25, L127-L134 (1992); F. Iglói, "Directed polymer inside a parabola: Exact solution," Phys. Rev. A 45, 7024-7029 (1992); F. Iglói, I. Peschel, and L. Turban, "Inhomogeneous systems with unusual critical behaviour," Adv. Phys. 42, 683-740 (1993).
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Life and death in an expanding cage and at the edge of a receding cliff
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See, for example, L. I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968), 3rd ed.
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Quantum Mechanics
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Diffusion in disordered media
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For an introduction to this simulation approach, see for example, S. Havlin and D. ben-Avraham, "Diffusion in disordered media," Adv. Phys. 36, 695-798 (1987).
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Kinetics of the scavenger reaction
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J. Phys. A
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0001286575
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Target annihilation by random walkers
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