Edit Profile Marcus, Michael B. Compute Distance To: Compute Author ID: marcus.michael-b Published as: Marcus, M.; Marcus, M. B.; Marcus, Michael; Marcus, Michael B.; Marcus, Michel B. Homepage: http://home.earthlink.net/~mbmarcus/ External Links: MGP Documents Indexed: 122 Publications since 1963, including 11 Books all top 5 Co-Authors 33 single-authored 38 Rosen, Jay S. 7 Pisier, Gilles 6 Giné-Masdéu, Evarist 6 Jain, Naresh C. 6 Zinn, Joel 5 Rosiński, Jan 3 Boas, Ralph Philip jun. 3 Kuelbs, James D. 3 Talagrand, Michel 3 Woyczynski, Wojbor A. 2 Hoffmann-Jørgensen, Jørgen 2 Kogan, Hana 2 Le Jan, Yves 2 Shepp, Lawrence Alan 1 Adler, Robert Joseph 1 Beck, Anatole 1 Bussgang, J. J. 1 Chen, Xia 1 de Araujo, Aloisio Pessoa 1 Dobric, Vladimir 1 Dudley, Richard Mansfield 1 Eberlein, Ernst W. 1 Eisenbaum, Nathalie 1 Fernique, Xavier 1 Hahn, Marjorie Green 1 Heinkel, Bernard 1 Iscoe, Ian 1 Kaspi, Haya 1 Kwapień, Stanisław 1 Ledoux, Michel 1 Li, Wenbo V. 1 McDonald, David R. 1 Meyer, Paul-André 1 Peskir, Goran 1 Philipp, Walter 1 Pinsky, Mark Allan 1 Sacks, Jerome 1 Shen, Kevin H. W. 1 Shi, Zhan 1 Weber, Michel Jean Georges 1 Wellner, Jon August all top 5 Serials 22 The Annals of Probability 7 Stochastic Processes and their Applications 6 Journal of Theoretical Probability 5 Transactions of the American Mathematical Society 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Electronic Communications in Probability 3 Journal of Functional Analysis 3 Memoirs of the American Mathematical Society 3 Electronic Journal of Probability 3 Progress in Probability 2 Journal of Mathematical Analysis and Applications 2 Annales de l’Institut Fourier 2 Lecture Notes in Mathematics 2 Annals of Mathematical Statistics 1 American Mathematical Monthly 1 Arkiv för Matematik 1 Mathematics Magazine 1 Acta Mathematica 1 Colloquium Mathematicum 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Probability and Mathematical Statistics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Annals of Mathematics Studies 1 Cambridge Studies in Advanced Mathematics 1 Lecture Notes Series. Aarhus University 1 Communications on Stochastic Analysis all top 5 Fields 112 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 6 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistics (62-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 94 Publications have been cited 881 times in 638 Documents Cited by ▼ Year ▼ Markov processes, Gaussian processes, and local times. Zbl 1129.60002Marcus, Michael B.; Rosen, Jay 112 2006 Random Fourier series with applications to harmonic analysis. Zbl 0474.43004Marcus, Michael B.; Pisier, Gilles 82 1981 Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Zbl 0547.60047Marcus, M. B.; Pisier, G. 58 1984 Central limit theorems for C(S)-valued random variables. Zbl 0305.60004Jain, Naresh C.; Marcus, Michael B. 43 1975 Sample behavior of Gaussian processes. Zbl 0379.60040Marcus, M. B.; Shepp, L. A. 34 1972 Sample path properties of the local times of strongly symmetric Markov processes via Gaussian processes. Zbl 0762.60068Marcus, Michael B.; Rosen, Jay 32 1992 A Ray-Knight theorem for symmetric Markov processes. Zbl 1044.60064Eisenbaum, Nathalie; Kaspi, Haya; Marcus, Michael B.; Rosen, Jay; Shi, Zhan 27 2000 Weak convergence of the empirical characteristic function. Zbl 0465.60008Marcus, Michael B. 24 1981 \(p\)-variation of the local times of symmetric stable processes and of Gaussian processes with stationary increments. Zbl 0762.60069Marcus, Michael B.; Rosen, Jay 21 1992 Continuity of \(\ell ^ 2\)-valued Ornstein-Uhlenbeck processes. Zbl 0699.60052Iscoe, I.; Marcus, M. B.; McDonald, D.; Talagrand, M.; Zinn, J. 20 1990 \(\xi\)-radial processes and random Fourier series. Zbl 0636.60039Marcus, Michael B. 20 1987 Stable measures and central limit theorems in spaces of stable type. Zbl 0449.60003Marcus, Michael B.; Woyczynski, Wojbor A. 19 1979 Integrability of infinite sums of independent vector-valued random variables. Zbl 0318.60036Jain, Naresh C.; Marcus, Michael B. 19 1975 Continuity of Gaussian processes. Zbl 0209.49201Marcus, M. B.; Shepp, L. A. 18 1970 Hölder conditions for Gaussian processes with stationary increments. Zbl 0186.50602Marcus, M. B. 17 1968 Continuity and boundedness of infinitely divisible processes: A Poisson point process approach. Zbl 1071.60025Marcus, Michael B.; Rosiński, Jan 16 2005 Level crossings of a stochastic process with absolutely continuous sample paths. Zbl 0364.60063Marcus, Michael B. 16 1977 Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions. Zbl 0283.60041Jain, Naresh C.; Marcus, M. B. 13 1974 Upper bounds for the asymptotic maxima of continuous Gaussian processes. Zbl 0241.60032Marcus, M. B. 12 1972 A bound for the distribution of the maximum of continuous Gaussian processes. Zbl 0234.60054Marcus, Michael 12 1970 Laws of the iterated logarithm for the local times of symmetric Lévy processes and recurrent random walks. Zbl 0815.60073Marcus, Michael B.; Rosen, Jay 11 1994 Gaussian chaos and sample path properties of additive functionals of symmetric Markov processes. Zbl 0862.60065Marcus, Michael B.; Rosen, Jay 10 1996 The bounded law of the iterated logarithm for the weighted empirical distribution process in the non-i.i.d. case. Zbl 0538.60009Marcus, Michael B.; Zinn, Joel 10 1984 Some results on the continuity of stable processes and the domain of attraction of continuous stable processes. Zbl 0536.60048Marcus, M. B.; Pisier, G. 10 1984 Two results on continuity and boundedness of stochastic convolutions. Zbl 1106.60040Kwapień, Stanisław; Marcus, Michael B.; Rosiński, Jan 8 2006 Renormalized self-intersection local times and Wick power chaos processes. Zbl 1230.60005Marcus, Michael B.; Rosen, Jay 8 1999 The central limit theorem for stochastic integrals with respect to Levy processes. Zbl 0504.60011Gine, Evarist; Marcus, Michel B. 8 1983 The most visited sites of certain Lévy processes. Zbl 0991.60035Marcus, Michael B. 7 2001 \(L^1\)-norm of infinitely divisible random vectors and certain stochastic integrals. Zbl 0976.60027Marcus, Michael B.; Rosiński, Jan 7 2001 Laws of the iterated logarithm for intersections of random walks on \(Z^ 4\). Zbl 0870.60065Marcus, Michael B.; Rosen, Jay 7 1997 Logarithmic averages for the local times of recurrent random walks and Lévy processes. Zbl 0853.60059Marcus, Michael B.; Rosen, Jay 7 1995 Almost sure invariance principles for sums of B-valued random variables with applications to random Fourier series and the empirical characteristic process. Zbl 0485.60030Marcus, Michael B.; Philipp, Walter 7 1982 Gaussian processes with stationary increments possessing discontinuous sample paths. Zbl 0245.60035Marcus, Michael B. 7 1968 Permanental fields, loop soups and continuous additive functionals. Zbl 1316.60075Le Jan, Yves; Marcus, Michael B.; Rosen, Jay 6 2015 Some bounds for the expected number of level crossings of symmetric harmonizable p-stable processes. Zbl 0693.60027Marcus, Michael B. 6 1989 Continuity and the central limit theorem for random trigonometric series. Zbl 0382.60041Marcus, Michael B. 6 1978 Robust designs for regression problems. Zbl 0422.62067Marcus, Michael B.; Sacks, Jerome 6 1977 An almost sure limit theorem for Wick powers of Gaussian differences quotients. Zbl 1243.60036Marcus, Michael B.; Rosen, Jay 5 2009 Laws of the iterated logarithm for the local times of recurrent random walks on \(Z^ 2\) and of Lévy processes and random walks in the domain of attraction of Cauchy random variables. Zbl 0805.60069Marcus, Michael B.; Rosen, Jay 5 1994 A sufficient condition for the continuity of permanental processes with applications to local times of Markov processes. Zbl 1329.60273Marcus, Michael B.; Rosen, Jay 4 2013 A CLT for the \(L^{2}\) modulus of continuity of Brownian local time. Zbl 1190.60071Chen, Xia; Li, Wenbo V.; Marcus, Michael B.; Rosen, Jay 4 2010 CLT for \(L^p\) moduli of continuity of Gaussian processes. Zbl 1147.60015Marcus, Michael B.; Rosen, Jay 4 2008 \(L^p\) moduli of continuity of Gaussian processes and local times of symmetric Lévy processes. Zbl 1260.60156Marcus, Michael B.; Rosen, Jay 4 2008 Gaussian processes and local times of symmetric Lévy processes. Zbl 0988.60026Marcus, Michael B.; Rosen, Jay 4 2001 Extreme values for sequences of stable random variables. Zbl 0569.60009Marcus, Michael B. 4 1984 Necessary and sufficient conditions for the uniform convergence of random trigonometric series. Zbl 0409.60036Marcus, M. B.; Pisier, G. 4 1978 Capacity of level sets of certain stochastic processes. Zbl 0368.60038Marcus, Michael B. 4 1976 Uniform convergence of random Fourier series. Zbl 0317.42008Marcus, Michael B. 4 1975 Continuity of Gaussian processes and random Fourier series. Zbl 0277.60022Marcus, M. B. 4 1973 Intersection local times, loop soups and permanental Wick powers. Zbl 1368.60080Le Jan, Yves; Marcus, Michael B.; Rosen, Jay 3 2017 Permanental processes. Zbl 1331.60002Kogan, Hana; Marcus, Michael B.; Rosen, Jay 3 2011 Probability estimates for lower levels of certain Gaussian processes with stationary increments. Zbl 0973.60040Marcus, Michael B. 3 2000 \(\Phi\)-variation of the local times of symmetric Lévy processes and stationary Gaussian processes. Zbl 0793.60043Marcus, Michael B.; Rosen, Jay 3 1992 Central limit theorems for the local times of certain Markov processes and the squares of Gaussian processes. Zbl 0722.60078Adler, Robert J.; Marcus, Michael B.; Zinn, Joel 3 1990 The distribution of large values of the supremum of a Gaussian process. Zbl 0659.60061Dobric, Vladimir; Marcus, Michael B.; Weber, Michel 3 1988 Stochastic processes with sample paths in exponential Orlicz spaces. Zbl 0576.60031Marcus, Michael B.; Pisier, Gilles 3 1985 The \(\varepsilon\)-entropy of some compact subsets of l\(^p\). Zbl 0277.60023Marcus, M. B. 3 1974 A comparison of continuity conditions for Gaussian processes. Zbl 0265.60039Marcus, M. B. 3 1973 Inequalities involving a function and its inverse. Zbl 0235.26009Boas, R. P. jun.; Marcus, M. B. 3 1973 Gaussian lacunary series and the modulus of continuity for Gaussian processes. Zbl 0222.60026Marcus, M. B. 3 1972 Hölder conditions for continuous Gaussian processes. Zbl 0255.60027Marcus, Michael B. 3 1970 On the domain of attraction of \(e^{-e^{-x}}\). Zbl 0169.50201Marcus, Michael; Pinsky, M. 3 1969 Conditions for permanental processes to be unbounded. Zbl 1386.60331Marcus, Michael B.; Rosen, Jay 2 2017 Sufficient conditions for boundedness of moving average processes. Zbl 1043.60030Marcus, Michael B.; Rosiński, Jan 2 2003 Additive functionals of several Lévy processes and intersection local times. Zbl 0963.60072Marcus, Michael B.; Rosen, Jay 2 1999 A sufficient condition for the continuity of high order Gaussian chaos processes. Zbl 0905.60026Marcus, Michael B. 2 1998 Moment generating functions for local times of symmetric Markov processes and random walks. Zbl 0788.60092Marcus, Michael B.; Rosen, Jay 2 1992 Moduli of continuity of local times of strongly symmetric Markov processes via Gaussian processes. Zbl 0761.60035Marcus, Michael B.; Rosen, Jay 2 1992 A version of Chevet’s theorem for stable processes. Zbl 0659.60007Giné, Evarist; Marcus, Michael B.; Zinn, Joel 2 1985 Probability in Banach spaces V. Proceedings of the Fifth International Conference held in Medford, Massachusetts, USA, July 16-27, 1984. Zbl 0563.00014Beck, A. (ed.); Dudley, R. (ed.); Hahn, M. (ed.); Kuelbs, J. (ed.); Marcus, M. (ed.) 2 1985 Some results on the domain of attraction of stable measures on C(K). Zbl 0535.60010Giné, Evarist; Marcus, Michael B. 2 1982 Stable processes with continuous sample paths. Zbl 0407.60040de Araujo, Aloisio Pessoa; Marcus, M. B. 2 1979 Asymptotic maxima of continuous Gaussian processes. Zbl 0304.60024Marcus, M. B. 2 1974 Inverse functions and integration by parts. Zbl 0285.26008Boas, R. P. jun.; Marcus, M. B. 2 1974 Generalizations of Young’s inequality. Zbl 0275.26021Boas, R. P. jun.; Marcus, M. B. 2 1974 A new proof of a sufficient condition for discontinuity of Gaussian processes. Zbl 0257.60015Jain, N. C.; Marcus, M. B. 2 1973 Permanental processes with kernels that are not equivalent to a symmetric matrix. Zbl 1448.60194Marcus, Michael B.; Rosen, Jay 1 2019 Sample path properties of permanental processes. Zbl 1410.60068Marcus, Michael B.; Rosen, Jay 1 2018 Permanental random variables, \(M\)-matrices and \(\alpha\)-permanents. Zbl 1382.60034Marcus, Michael B.; Rosen, Jay 1 2016 Multivariate gamma distributions. Zbl 1321.60023Marcus, Michael B. 1 2014 Permanental vectors. Zbl 1255.60027Kogan, Hana; Marcus, Michael B. 1 2012 Existence of a critical point for the infinite divisibility of squares of Gaussian vectors in \(\mathbb R^{2}\) with non-zero mean. Zbl 1191.60020Rosen, Jay S.; Marcus, Michael B. 1 2009 High dimensional probability III. Third international conference on high dimensional probability, Sandjberg, Denmark, June 24–28, 2002. Selected papers. Zbl 1029.00032Hoffmann-Jørgensen, Jørgen (ed.); Marcus, Michael B. (ed.); Wellner, Jon A. (ed.) 1 2003 Multiple Wick product chaos processes. Zbl 1105.60304Marcus, Michael B.; Rosen, Jay 1 1999 Bounds for the expected number of level crossings of certain harmonizable infinitely divisible processes. Zbl 0932.60035Marcus, Michael B.; Shen, Kevin 1 1998 Continuity conditions for a class of Gaussian chaos processes related to continuous additive functionals of Lévy processes. Zbl 0899.60034Marcus, Michael B.; Talagrand, Michel 1 1998 Probability in Banach spaces, 9: Proceedings from the 9th international conference on probability in Banach spaces, held at Sandjberg, Denmark, August 16-21, 1993. Zbl 0799.00028Hoffmann-Jørgensen, Jørgen (ed.); Kuelbs, James (ed.); Marcus, Michael B. (ed.) 1 1994 On random multipliers in the central limit theorem with p-stable limit, \(0<p<2\). Zbl 0699.60007Giné, Evarist; Marcus, Michael B.; Zinn, Joel 1 1990 A version of Chevet’s theorem for stable processes. Zbl 0654.60009Giné, Evarist; Marcus, Michael B.; Zinn, Joel 1 1985 On the central limit theorem in C(K). Zbl 0516.60011Gine, Evarist; Marcus, Michael B. 1 1981 Random Fourier series on locally compact Abelian groups. Zbl 0413.60004Marcus, M. B.; Pisier, G. 1 1979 Domaine d’attraction normal dans les espaces de type stable p. Zbl 0368.60025Marcus, Michael B.; Woyczynski, Wojbor A. 1 1977 Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions. Zbl 0336.60041Jain, Naresh C.; Marcus, M. B. 1 1975 Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions. Zbl 0275.60053Jain, Naresh C.; Marcus, M. B. 1 1974 Permanental processes with kernels that are not equivalent to a symmetric matrix. Zbl 1448.60194Marcus, Michael B.; Rosen, Jay 1 2019 Sample path properties of permanental processes. Zbl 1410.60068Marcus, Michael B.; Rosen, Jay 1 2018 Intersection local times, loop soups and permanental Wick powers. Zbl 1368.60080Le Jan, Yves; Marcus, Michael B.; Rosen, Jay 3 2017 Conditions for permanental processes to be unbounded. Zbl 1386.60331Marcus, Michael B.; Rosen, Jay 2 2017 Permanental random variables, \(M\)-matrices and \(\alpha\)-permanents. Zbl 1382.60034Marcus, Michael B.; Rosen, Jay 1 2016 Permanental fields, loop soups and continuous additive functionals. Zbl 1316.60075Le Jan, Yves; Marcus, Michael B.; Rosen, Jay 6 2015 Multivariate gamma distributions. Zbl 1321.60023Marcus, Michael B. 1 2014 A sufficient condition for the continuity of permanental processes with applications to local times of Markov processes. Zbl 1329.60273Marcus, Michael B.; Rosen, Jay 4 2013 Permanental vectors. Zbl 1255.60027Kogan, Hana; Marcus, Michael B. 1 2012 Permanental processes. Zbl 1331.60002Kogan, Hana; Marcus, Michael B.; Rosen, Jay 3 2011 A CLT for the \(L^{2}\) modulus of continuity of Brownian local time. Zbl 1190.60071Chen, Xia; Li, Wenbo V.; Marcus, Michael B.; Rosen, Jay 4 2010 An almost sure limit theorem for Wick powers of Gaussian differences quotients. Zbl 1243.60036Marcus, Michael B.; Rosen, Jay 5 2009 Existence of a critical point for the infinite divisibility of squares of Gaussian vectors in \(\mathbb R^{2}\) with non-zero mean. Zbl 1191.60020Rosen, Jay S.; Marcus, Michael B. 1 2009 CLT for \(L^p\) moduli of continuity of Gaussian processes. Zbl 1147.60015Marcus, Michael B.; Rosen, Jay 4 2008 \(L^p\) moduli of continuity of Gaussian processes and local times of symmetric Lévy processes. Zbl 1260.60156Marcus, Michael B.; Rosen, Jay 4 2008 Markov processes, Gaussian processes, and local times. Zbl 1129.60002Marcus, Michael B.; Rosen, Jay 112 2006 Two results on continuity and boundedness of stochastic convolutions. Zbl 1106.60040Kwapień, Stanisław; Marcus, Michael B.; Rosiński, Jan 8 2006 Continuity and boundedness of infinitely divisible processes: A Poisson point process approach. Zbl 1071.60025Marcus, Michael B.; Rosiński, Jan 16 2005 Sufficient conditions for boundedness of moving average processes. Zbl 1043.60030Marcus, Michael B.; Rosiński, Jan 2 2003 High dimensional probability III. Third international conference on high dimensional probability, Sandjberg, Denmark, June 24–28, 2002. Selected papers. Zbl 1029.00032Hoffmann-Jørgensen, Jørgen (ed.); Marcus, Michael B. (ed.); Wellner, Jon A. (ed.) 1 2003 The most visited sites of certain Lévy processes. Zbl 0991.60035Marcus, Michael B. 7 2001 \(L^1\)-norm of infinitely divisible random vectors and certain stochastic integrals. Zbl 0976.60027Marcus, Michael B.; Rosiński, Jan 7 2001 Gaussian processes and local times of symmetric Lévy processes. Zbl 0988.60026Marcus, Michael B.; Rosen, Jay 4 2001 A Ray-Knight theorem for symmetric Markov processes. Zbl 1044.60064Eisenbaum, Nathalie; Kaspi, Haya; Marcus, Michael B.; Rosen, Jay; Shi, Zhan 27 2000 Probability estimates for lower levels of certain Gaussian processes with stationary increments. Zbl 0973.60040Marcus, Michael B. 3 2000 Renormalized self-intersection local times and Wick power chaos processes. Zbl 1230.60005Marcus, Michael B.; Rosen, Jay 8 1999 Additive functionals of several Lévy processes and intersection local times. Zbl 0963.60072Marcus, Michael B.; Rosen, Jay 2 1999 Multiple Wick product chaos processes. Zbl 1105.60304Marcus, Michael B.; Rosen, Jay 1 1999 A sufficient condition for the continuity of high order Gaussian chaos processes. Zbl 0905.60026Marcus, Michael B. 2 1998 Bounds for the expected number of level crossings of certain harmonizable infinitely divisible processes. Zbl 0932.60035Marcus, Michael B.; Shen, Kevin 1 1998 Continuity conditions for a class of Gaussian chaos processes related to continuous additive functionals of Lévy processes. Zbl 0899.60034Marcus, Michael B.; Talagrand, Michel 1 1998 Laws of the iterated logarithm for intersections of random walks on \(Z^ 4\). Zbl 0870.60065Marcus, Michael B.; Rosen, Jay 7 1997 Gaussian chaos and sample path properties of additive functionals of symmetric Markov processes. Zbl 0862.60065Marcus, Michael B.; Rosen, Jay 10 1996 Logarithmic averages for the local times of recurrent random walks and Lévy processes. Zbl 0853.60059Marcus, Michael B.; Rosen, Jay 7 1995 Laws of the iterated logarithm for the local times of symmetric Lévy processes and recurrent random walks. Zbl 0815.60073Marcus, Michael B.; Rosen, Jay 11 1994 Laws of the iterated logarithm for the local times of recurrent random walks on \(Z^ 2\) and of Lévy processes and random walks in the domain of attraction of Cauchy random variables. Zbl 0805.60069Marcus, Michael B.; Rosen, Jay 5 1994 Probability in Banach spaces, 9: Proceedings from the 9th international conference on probability in Banach spaces, held at Sandjberg, Denmark, August 16-21, 1993. Zbl 0799.00028Hoffmann-Jørgensen, Jørgen (ed.); Kuelbs, James (ed.); Marcus, Michael B. (ed.) 1 1994 Sample path properties of the local times of strongly symmetric Markov processes via Gaussian processes. Zbl 0762.60068Marcus, Michael B.; Rosen, Jay 32 1992 \(p\)-variation of the local times of symmetric stable processes and of Gaussian processes with stationary increments. Zbl 0762.60069Marcus, Michael B.; Rosen, Jay 21 1992 \(\Phi\)-variation of the local times of symmetric Lévy processes and stationary Gaussian processes. Zbl 0793.60043Marcus, Michael B.; Rosen, Jay 3 1992 Moment generating functions for local times of symmetric Markov processes and random walks. Zbl 0788.60092Marcus, Michael B.; Rosen, Jay 2 1992 Moduli of continuity of local times of strongly symmetric Markov processes via Gaussian processes. Zbl 0761.60035Marcus, Michael B.; Rosen, Jay 2 1992 Continuity of \(\ell ^ 2\)-valued Ornstein-Uhlenbeck processes. Zbl 0699.60052Iscoe, I.; Marcus, M. B.; McDonald, D.; Talagrand, M.; Zinn, J. 20 1990 Central limit theorems for the local times of certain Markov processes and the squares of Gaussian processes. Zbl 0722.60078Adler, Robert J.; Marcus, Michael B.; Zinn, Joel 3 1990 On random multipliers in the central limit theorem with p-stable limit, \(0<p<2\). Zbl 0699.60007Giné, Evarist; Marcus, Michael B.; Zinn, Joel 1 1990 Some bounds for the expected number of level crossings of symmetric harmonizable p-stable processes. Zbl 0693.60027Marcus, Michael B. 6 1989 The distribution of large values of the supremum of a Gaussian process. Zbl 0659.60061Dobric, Vladimir; Marcus, Michael B.; Weber, Michel 3 1988 \(\xi\)-radial processes and random Fourier series. Zbl 0636.60039Marcus, Michael B. 20 1987 Stochastic processes with sample paths in exponential Orlicz spaces. Zbl 0576.60031Marcus, Michael B.; Pisier, Gilles 3 1985 A version of Chevet’s theorem for stable processes. Zbl 0659.60007Giné, Evarist; Marcus, Michael B.; Zinn, Joel 2 1985 Probability in Banach spaces V. Proceedings of the Fifth International Conference held in Medford, Massachusetts, USA, July 16-27, 1984. Zbl 0563.00014Beck, A. (ed.); Dudley, R. (ed.); Hahn, M. (ed.); Kuelbs, J. (ed.); Marcus, M. (ed.) 2 1985 A version of Chevet’s theorem for stable processes. Zbl 0654.60009Giné, Evarist; Marcus, Michael B.; Zinn, Joel 1 1985 Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Zbl 0547.60047Marcus, M. B.; Pisier, G. 58 1984 The bounded law of the iterated logarithm for the weighted empirical distribution process in the non-i.i.d. case. Zbl 0538.60009Marcus, Michael B.; Zinn, Joel 10 1984 Some results on the continuity of stable processes and the domain of attraction of continuous stable processes. Zbl 0536.60048Marcus, M. B.; Pisier, G. 10 1984 Extreme values for sequences of stable random variables. Zbl 0569.60009Marcus, Michael B. 4 1984 The central limit theorem for stochastic integrals with respect to Levy processes. Zbl 0504.60011Gine, Evarist; Marcus, Michel B. 8 1983 Almost sure invariance principles for sums of B-valued random variables with applications to random Fourier series and the empirical characteristic process. Zbl 0485.60030Marcus, Michael B.; Philipp, Walter 7 1982 Some results on the domain of attraction of stable measures on C(K). Zbl 0535.60010Giné, Evarist; Marcus, Michael B. 2 1982 Random Fourier series with applications to harmonic analysis. Zbl 0474.43004Marcus, Michael B.; Pisier, Gilles 82 1981 Weak convergence of the empirical characteristic function. Zbl 0465.60008Marcus, Michael B. 24 1981 On the central limit theorem in C(K). Zbl 0516.60011Gine, Evarist; Marcus, Michael B. 1 1981 Stable measures and central limit theorems in spaces of stable type. Zbl 0449.60003Marcus, Michael B.; Woyczynski, Wojbor A. 19 1979 Stable processes with continuous sample paths. Zbl 0407.60040de Araujo, Aloisio Pessoa; Marcus, M. B. 2 1979 Random Fourier series on locally compact Abelian groups. Zbl 0413.60004Marcus, M. B.; Pisier, G. 1 1979 Continuity and the central limit theorem for random trigonometric series. Zbl 0382.60041Marcus, Michael B. 6 1978 Necessary and sufficient conditions for the uniform convergence of random trigonometric series. Zbl 0409.60036Marcus, M. B.; Pisier, G. 4 1978 Level crossings of a stochastic process with absolutely continuous sample paths. Zbl 0364.60063Marcus, Michael B. 16 1977 Robust designs for regression problems. Zbl 0422.62067Marcus, Michael B.; Sacks, Jerome 6 1977 Domaine d’attraction normal dans les espaces de type stable p. Zbl 0368.60025Marcus, Michael B.; Woyczynski, Wojbor A. 1 1977 Capacity of level sets of certain stochastic processes. Zbl 0368.60038Marcus, Michael B. 4 1976 Central limit theorems for C(S)-valued random variables. Zbl 0305.60004Jain, Naresh C.; Marcus, Michael B. 43 1975 Integrability of infinite sums of independent vector-valued random variables. Zbl 0318.60036Jain, Naresh C.; Marcus, Michael B. 19 1975 Uniform convergence of random Fourier series. Zbl 0317.42008Marcus, Michael B. 4 1975 Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions. Zbl 0336.60041Jain, Naresh C.; Marcus, M. B. 1 1975 Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions. Zbl 0283.60041Jain, Naresh C.; Marcus, M. B. 13 1974 The \(\varepsilon\)-entropy of some compact subsets of l\(^p\). Zbl 0277.60023Marcus, M. B. 3 1974 Asymptotic maxima of continuous Gaussian processes. Zbl 0304.60024Marcus, M. B. 2 1974 Inverse functions and integration by parts. Zbl 0285.26008Boas, R. P. jun.; Marcus, M. B. 2 1974 Generalizations of Young’s inequality. Zbl 0275.26021Boas, R. P. jun.; Marcus, M. B. 2 1974 Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions. Zbl 0275.60053Jain, Naresh C.; Marcus, M. B. 1 1974 Continuity of Gaussian processes and random Fourier series. Zbl 0277.60022Marcus, M. B. 4 1973 A comparison of continuity conditions for Gaussian processes. Zbl 0265.60039Marcus, M. B. 3 1973 Inequalities involving a function and its inverse. Zbl 0235.26009Boas, R. P. jun.; Marcus, M. B. 3 1973 A new proof of a sufficient condition for discontinuity of Gaussian processes. Zbl 0257.60015Jain, N. C.; Marcus, M. B. 2 1973 Sample behavior of Gaussian processes. Zbl 0379.60040Marcus, M. B.; Shepp, L. A. 34 1972 Upper bounds for the asymptotic maxima of continuous Gaussian processes. Zbl 0241.60032Marcus, M. B. 12 1972 Gaussian lacunary series and the modulus of continuity for Gaussian processes. Zbl 0222.60026Marcus, M. B. 3 1972 Continuity of Gaussian processes. Zbl 0209.49201Marcus, M. B.; Shepp, L. A. 18 1970 A bound for the distribution of the maximum of continuous Gaussian processes. Zbl 0234.60054Marcus, Michael 12 1970 Hölder conditions for continuous Gaussian processes. Zbl 0255.60027Marcus, Michael B. 3 1970 On the domain of attraction of \(e^{-e^{-x}}\). Zbl 0169.50201Marcus, Michael; Pinsky, M. 3 1969 Hölder conditions for Gaussian processes with stationary increments. Zbl 0186.50602Marcus, M. B. 17 1968 Gaussian processes with stationary increments possessing discontinuous sample paths. Zbl 0245.60035Marcus, Michael B. 7 1968 all cited Publications top 5 cited Publications all top 5 Cited by 666 Authors 33 Marcus, Michael B. 23 Rosen, Jay S. 21 Xiao, Yimin 14 Chen, Xia 10 Eisenbaum, Nathalie 10 Samorodnitsky, Gennady Pinkhosovich 9 Giné-Masdéu, Evarist 8 Khoshnevisan, Davar 8 Naor, Assaf 8 Zinn, Joel 7 Lin, Zhengyan 7 Paulauskas, Vygantas Ionovič 7 Rosiński, Jan 6 Albin, J. M. P. 6 Braverman, Michael Sh. 6 Kuelbs, James D. 6 Shao, Qi-Man 5 Adler, Robert Joseph 5 Aurzada, Frank 5 Bass, Richard F. 5 Bourgain, Jean 5 Heinkel, Bernard 5 Junge, Marius 5 Kaspi, Haya 5 Kozachenko, Yuriĭ Vasyl’ovych 5 Le Jan, Yves 5 Li, Wenbo V. 5 Liu, Jingchen 5 Lupu, Titus 5 Nualart, David 5 Pisier, Gilles 5 Shi, Zhan 5 Talagrand, Michel 4 Ait Ouahra, Mohamed 4 Arcones, Miguel A. 4 Basse-O’Connor, Andreas 4 Csáki, Endre 4 Csörgő, Miklós 4 Csörgő, Sándor 4 Ding, Jian 4 Hu, Yaozhong 4 Jain, Naresh C. 4 Kono, Norio 4 Le, Khoa N. 4 Lifshits, Mikhail A. 4 Milman, Vitali D. 4 Norvaiša, Rimas 4 Stelzer, Robert 4 Sznitman, Alain-Sol 4 Tindel, Samy 4 Xu, Gongjun 4 Yang, Xiaochuan 3 Albeverio, Sergio A. 3 Alexander, Kenneth S. 3 Barndorff-Nielsen, Ole Eiler 3 Bednorz, Witold Marek 3 Berman, Simeon M. 3 Biermé, Hermine 3 Bingham, Nicholas Hugh 3 Buldygin, Valeriĭ Volodymyrovych 3 Croydon, David A. 3 Dudley, Richard Mansfield 3 Fernique, Xavier 3 Földes, Antónia 3 Foondun, Mohammud 3 Giuliano Antonini, Rita 3 Hahn, Marjorie Green 3 Heathcote, Christopher R. 3 Imekraz, Rafik 3 Kalinauskaitė, Nijolė Liucija 3 Kwapień, Stanisław 3 Lai, Tze Leung 3 Lee, James R. 3 Lefèvre, Pascal 3 Markowsky, Greg T. 3 Marquardt, Tina 3 Matsak, Ivan K. 3 Meintanis, Simos G. 3 Norvajsha, R. 3 Palazuelos, Carlos 3 Peres, Yuval 3 Račkauskas, Alfredas Yurgevich 3 Révész, Pál 3 Rodríguez-Piazza, Luis 3 Rosalsky, Andrew 3 Rychlik, Igor 3 Schechtman, Gideon 3 Sghir, Aissa 3 Tarrès, Pierre 3 Wang, Wensheng 3 Weber, Michel Jean Georges 3 Welsh, Alan H. 3 Yan, Litan 3 Yuknyavichene, D. B. 3 Zabczyk, Jerzy 3 Zhang, Rongmao 2 Acuña Valverde, Luis 2 Andersen, Niels Toft 2 Astashkin, Sergeĭ Vladimir 2 Benassi, Albert ...and 566 more Authors all top 5 Cited in 154 Serials 90 Stochastic Processes and their Applications 51 The Annals of Probability 33 Statistics & Probability Letters 29 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 28 Probability Theory and Related Fields 24 Journal of Theoretical Probability 21 Journal of Multivariate Analysis 19 Lithuanian Mathematical Journal 18 Transactions of the American Mathematical Society 13 Israel Journal of Mathematics 12 Journal of Functional Analysis 12 The Annals of Applied Probability 10 Journal of Mathematical Analysis and Applications 9 Communications in Mathematical Physics 9 Potential Analysis 9 Bernoulli 8 Ukrainian Mathematical Journal 8 Journal of Statistical Planning and Inference 7 Extremes 6 The Annals of Statistics 6 Annales de l’Institut Henri Poincaré. 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Académie des Sciences, Paris 2 Electronic Journal of Statistics 2 Modern Stochastics. Theory and Applications 1 Archive for Rational Mechanics and Analysis 1 The Canadian Journal of Statistics 1 Indian Journal of Pure & Applied Mathematics 1 Inverse Problems 1 Metrika 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Scandinavian Journal of Statistics 1 Studia Mathematica 1 Arkiv för Matematik 1 Mathematics of Computation 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Economic Theory 1 Journal of the London Mathematical Society. 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Serie VII 1 Insurance Mathematics & Economics 1 Probability and Mathematical Statistics ...and 54 more Serials all top 5 Cited in 47 Fields 539 Probability theory and stochastic processes (60-XX) 88 Statistics (62-XX) 55 Functional analysis (46-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 20 Measure and integration (28-XX) 18 Abstract harmonic analysis (43-XX) 17 Numerical analysis (65-XX) 16 Operator theory (47-XX) 14 Partial differential equations (35-XX) 13 Real functions (26-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Combinatorics (05-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Quantum theory (81-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 General topology (54-XX) 6 Computer science (68-XX) 5 Group theory and generalizations (20-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 5 Information and communication theory, circuits (94-XX) 4 History and biography (01-XX) 4 Convex and discrete geometry (52-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year