Edit Profile (opens in new tab) Fill, James Allen Co-Author Distance Author ID: fill.james-allen Published as: Fill, James Allen; Fill, James A. External Links: MGP Documents Indexed: 92 Publications since 1977, including 1 Book and 7 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 45 Co-Authors with 75 Joint Publications 1,690 Co-Co-Authors all top 5 Co-Authors 19 single-authored 13 Janson, Svante 7 Dobrow, Robert P. 6 Kapur, Nevin 5 Hung, Wei-Chun 4 Machida, Motoya 4 Scheinerman, Edward R. 4 Ward, Mark Daniel 3 Diaconis, Persi Warren 3 Naiman, Daniel Q. 3 Nakama, Takéhiko 2 Beer, Elizabeth 2 Bindjeme, Patrick 2 Clément, Julien 2 Fishkind, Donniell E. 2 Flajolet, Philippe 2 Huber, Mark L. 2 Izenman, Alan Julian 2 Lyzinski, Vince 2 Murdoch, Duncan J. 2 Pitman, Jim William 2 Rosenthal, Jeffrey S. 2 Vallée, Brigitte 1 Bollobás, Béla 1 Crank, Keith N. 1 Dette, Holger 1 Devroye, Luc P. J. A. 1 Holst, Lars 1 Johnstone, Iain Murray 1 Kahn, Jonas 1 Mahmoud, Hosam M. 1 Matterer, Jason 1 Neininger, Ralph 1 Panholzer, Alois 1 Pemantle, Robin 1 Reingold, Edward Martin 1 Riordan, Oliver Maxim 1 Schoolfield, Clyde H. jun. 1 Singer-Cohen, Karen B. 1 Studden, William J. 1 Szpankowski, Wojciech 1 Thu Hien Nguyen Thi 1 Torcaso, Fred 1 Wagner, Stephan G. 1 Wichura, Michael J. 1 Wilson, David Bruce all top 5 Serials 10 Electronic Journal of Probability 8 The Annals of Applied Probability 7 Journal of Theoretical Probability 7 Random Structures & Algorithms 6 Combinatorics, Probability and Computing 4 The Annals of Probability 3 Probability Theory and Related Fields 3 Algorithmica 3 Electronic Communications in Probability 3 Probability in the Engineering and Informational Sciences 2 Journal of the Australian Mathematical Society, Series B 2 Theoretical Computer Science 2 The Electronic Journal of Combinatorics 1 Advances in Applied Probability 1 The Annals of Statistics 1 Journal of Computational and Applied Mathematics 1 Journal of Algorithms 1 Order 1 SIAM Journal on Discrete Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Theory of Computing Systems 1 Annals of Combinatorics 1 Methodology and Computing in Applied Probability 1 LIPIcs – Leibniz International Proceedings in Informatics all top 5 Fields 59 Probability theory and stochastic processes (60-XX) 44 Computer science (68-XX) 18 Combinatorics (05-XX) 6 Statistics (62-XX) 5 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 925 times in 652 Documents Cited by ▼ Year ▼ Strong stationary times via a new form of duality. Zbl 0723.60083 Diaconis, Persi; Fill, James Allen 118 1990 Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process. Zbl 0726.60069 Fill, James Allen 88 1991 An interruptible algorithm for perfect sampling via Markov chains. Zbl 0939.60084 Fill, James Allen 47 1998 Random intersection graphs when \(m=\omega(n)\): An equivalence theorem relating the evolution of the \(G(n,m,p)\) and \(G(n,p)\) models. Zbl 0951.05096 Fill, James Allen; Scheinerman, Edward R.; Singer-Cohen, Karen B. 33 2000 An exact formula for the move-to-front rule for self-organizing lists. Zbl 0837.60063 Fill, James Allen 30 1996 On hitting times and fastest strong stationary times for skip-free and more general chains. Zbl 1173.60337 Fill, James Allen 29 2009 On the distribution for the duration of a randomized leader election algorithm. Zbl 0870.60018 Fill, James Allen; Mahmoud, Hosam M.; Szpankowski, Wojciech 27 1996 The Moore–Penrose generalized inverse for sums of matrices. Zbl 0949.15009 Fill, James Allen; Fishkind, Donniell E. 27 2000 Singularity analysis, Hadamard products, and tree recurrences. Zbl 1056.05011 Fill, James Allen; Flajolet, Philippe; Kapur, Nevin 27 2005 Analysis of top to random shuffles. Zbl 0798.60008 Diaconis, Persi; Fill, James Allen; Pitman, Jim 26 1992 The passage time distribution for a birth-and-death chain: Strong stationary duality gives a first stochastic proof. Zbl 1178.60054 Fill, James Allen 25 2009 Limiting distributions for additive functionals on Catalan trees. Zbl 1071.68102 Fill, James Allen; Kapur, Nevin 23 2004 Extension of Fill’s perfect rejection sampling algorithm to general chains. Zbl 1122.60310 Fill, James Allen; Machida, Motoya; Murdoch, Duncan J.; Rosenthal, Jeffrey S. 21 2000 Perfect simulation of Vervaat perpetuities. Zbl 1202.60120 Fill, James Allen; Huber, Mark L. 21 2010 On the distribution of binary search trees under the random permutation model. Zbl 0840.60065 Fill, James Allen 20 1996 Percolation, first-passage percolation and covering times for Richardson’s model on the \(n\)-cube. Zbl 0783.60102 Fill, James Allen; Pemantle, Robin 19 1993 Total path length for random recursive trees. Zbl 0946.05077 Dobrow, Robert P.; Fill, James Allen 18 1999 Strong stationary duality for continuous-time Markov chains. I: Theory. Zbl 0746.60075 Fill, James Allen 18 1992 On the distribution of search cost for the move-to-front rule. Zbl 0852.60089 Fill, James Allen; Holst, Lars 17 1996 Quicksort asymptotics. Zbl 1011.68028 Fill, James Allen; Janson, Svante 16 2002 Limits and rates of convergence for the distribution of search cost under the move-to-front rule. Zbl 0871.68067 Fill, James Allen 15 1996 A characterization of the set of fixed points of the quicksort transformation. Zbl 0943.68192 Fill, James Allen; Janson, Svante 15 2000 Stochastic monotonicity and realizable monotonicity. Zbl 1015.60010 Fill, James Allen; Machida, Motoya 15 2001 Asymptotic analysis via Mellin transforms for small deviations in \(L^2\)-norm of integrated Brownian sheets. Zbl 1052.60027 Fill, James Allen; Torcaso, Fred 14 2004 Wall and Siegmund duality relations for birth and death chains with reflecting barrier. Zbl 0894.60076 Dette, Holger; Fill, James Allen; Pitman, Jim; Studden, William J. 13 1997 Smoothness and decay properties of the limiting quicksort density function. Zbl 0967.68180 Fill, James Allen; Janson, Svante 13 2000 Transfer theorems and asymptotic distributional results for \(m\)-ary search trees. Zbl 1101.68018 Fill, James Allen; Kapur, Nevin 13 2005 The number of symbol comparisons in QuickSort and QuickSelect. Zbl 1248.68181 Vallée, Brigitte; Clément, Julien; Fill, James Allen; Flajolet, Philippe 12 2009 Approximating the limiting quicksort distribution. Zbl 0990.68053 Fill, James Allen; Janson, Svante 11 2001 Comparison inequalities and fastest-mixing Markov chains. Zbl 1288.60089 Fill, James Allen; Kahn, Jonas 9 2013 Time to stationarity for a continuous-time Markov chain. Zbl 1134.60363 Fill, James Allen 8 1991 The move-to-front rule for self-organizing lists with Markov dependent requests. Zbl 0827.60054 Dobrow, Robert P.; Fill, James Allen 8 1995 Analysis of the expected number of bit comparisons required by quickselect. Zbl 1202.68128 Fill, James Allen; Nakama, Takéhiko 8 2010 Perfect simulation from the quicksort limit distribution. Zbl 0958.65012 Devroye, Luc; Fill, James Allen; Neininger, Ralph 7 2000 Precise logarithmic asymptotics for the right tails of some limit random variables for random trees. Zbl 1232.60021 Fill, James Allen; Janson, Svante 7 2009 The Pareto record frontier. Zbl 1455.60028 Fill, James Allen; Naiman, Daniel Q. 6 2020 Strong stationary duality for diffusion processes. Zbl 1386.60272 Fill, James Allen; Lyzinski, Vince 6 2016 Distributional convergence for the number of symbol comparisons used by QuickSelect. Zbl 1278.68354 Fill, James Allen; Nakama, Takehiko 6 2013 Destruction of very simple trees. Zbl 1106.68081 Fill, James Allen; Kapur, Nevin; Panholzer, Alois 5 2006 Exact \(L^2\)-distance from the limit for QuickSort key comparisons (extended abstract). Zbl 1296.68039 Bindjeme, Patrick; Fill, James Allen 5 2012 Hitting times and interlacing eigenvalues: a stochastic approach using intertwinings. Zbl 1320.60129 Fill, James Allen; Lyzinski, Vince 5 2014 The number of bit comparisons used by Quicksort, an average-case analysis. Zbl 1317.68292 Fill, James Allen; Janson, Svante 5 2004 Distributional convergence for the number of symbol comparisons used by QuickSort. Zbl 1272.68482 Fill, James Allen 5 2013 The number of bit comparisons used by quicksort: an average-case analysis. Zbl 1244.68090 Fill, James Allen; Janson, Svante 4 2012 Multiway trees of maximum and minimum probability under the random permutation model. Zbl 0863.68057 Dobrow, Robert P.; Fill, James Allen 4 1996 On the Markov chain for the move-to-root rule for binary search trees. Zbl 0822.60058 Dobrow, Robert P.; Fill, James Allen 4 1995 The Radon transform on \({\mathbb{Z}}_ n\). Zbl 0712.44001 Fill, James Allen 4 1989 Convergence rates related to the strong law of large numbers. Zbl 0502.60021 Fill, James Allen 4 1983 Examples for the theory of strong stationary duality with countable state spaces. Zbl 1134.60358 Diaconis, Persi; Fill, James Allen 3 1990 The move-to-front rule: A case study for two perfect sampling algorithms. Zbl 0978.62013 Fill, James Allen 3 1998 Towards a realistic analysis of the QuickSelect algorithm. Zbl 1341.68035 Clément, Julien; Fill, James Allen; Thu Hien Nguyen Thi; Vallée, Brigitte 3 2016 Quickselect tree process convergence, with an application to distributional convergence for the number of symbol comparisons used by worst-case find. Zbl 1329.60082 Fill, James Allen; Matterer, Jason 3 2014 On vertex, edge, and vertex-edge random graphs. Zbl 1217.05205 Beer, Elizabeth; Fill, James Allen; Janson, Svante; Scheinerman, Edward R. 3 2011 On the tails of the limiting QuickSort density. Zbl 1430.68066 Fill, James Allen; Hung, Wei-Chun 2 2019 A repertoire for additive functionals of uniformly distributed \(m\)-ary search trees. Zbl 1104.68030 Fill, James Allen; Kapur, Nevin 2 2005 Bounds on the coarseness of random sums. Zbl 0655.60015 Fill, James Allen 2 1988 An interruptible algorithm for perfect sampling via Markov chains. Zbl 0963.68222 Fill, James Allen 2 1999 Mixing times for Markov chains on wreath products and related homogeneous spaces. Zbl 0976.60069 Fill, James Allen; Schoolfield, Clyde H. jun. 2 2001 Rates of convergence for the move-to-root Markov chain for binary search trees. Zbl 0822.60059 Dobrow, Robert P.; Fill, James Allen 2 1995 QuickSort: improved right-tail asymptotics for the limiting distribution, and large deviations. Zbl 1492.68045 Fill, James Allen; Hung, Wei-Chun 2 2019 On vertex, edge, and vertex-edge random graphs (extended abstract). Zbl 1429.05187 Beer, Elizabeth; Fill, James Allen; Janson, Svante; Scheinerman, Edward R. 2 2011 Quicksort: improved right-tail asymptotics for the limiting distribution, and large deviations (extended abstract). Zbl 1430.68067 Fill, James Allen; Hung, Wei-Chun 2 2019 Partitions with distinct multiplicities of parts: on an “unsolved problem” posed by Herbert Wilf. Zbl 1243.05025 Fill, James Allen; Janson, Svante; Ward, Mark Daniel 1 2012 Affine isomorphism for partially ordered sets. Zbl 0930.06001 Fill, James Allen; Fishkind, Donniell E.; Scheinerman, Edward R. 1 1999 Speeding up the FMMR perfect sampling algorithm: A case study revisited. Zbl 1042.65014 Dobrow, Robert P.; Fill, James Allen 1 2003 The convergence rate for the strong law of large numbers: General lattice distributions. Zbl 0643.60024 Fill, James Allen; Wichura, Michael J. 1 1989 Asymptotic expansions for large deviation probabilities in the strong law of large numbers. Zbl 0643.60025 Fill, James Allen 1 1989 Combinatorial algorithms: Theory and practice. Solutions Manual. Zbl 0367.68033 Fill, James Allen; Reingold, Edward M. 1 1977 Realizable monotonocity and inverse probability transform. Zbl 1139.60304 Fill, James Allen; Machida, Motoya 1 2002 The sum of powers of subtree sizes for conditioned Galton-Watson trees. Zbl 1498.05057 Fill, James Allen; Janson, Svante 1 2022 Breaking bivariate records. Zbl 1469.60056 Fill, James Allen 1 2021 29th international conference on probabilistic, combinatorial and asymptotic methods for the analysis of algorithms, AofA 2018, June 25–29, 2018, Uppsala, Sweden. Zbl 1390.68020 1 2018 The limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract). Zbl 1296.68040 Bindjeme, Patrick; Fill, James Allen 1 2012 The sum of powers of subtree sizes for conditioned Galton-Watson trees. Zbl 1498.05057 Fill, James Allen; Janson, Svante 1 2022 Breaking bivariate records. Zbl 1469.60056 Fill, James Allen 1 2021 The Pareto record frontier. Zbl 1455.60028 Fill, James Allen; Naiman, Daniel Q. 6 2020 On the tails of the limiting QuickSort density. Zbl 1430.68066 Fill, James Allen; Hung, Wei-Chun 2 2019 QuickSort: improved right-tail asymptotics for the limiting distribution, and large deviations. Zbl 1492.68045 Fill, James Allen; Hung, Wei-Chun 2 2019 Quicksort: improved right-tail asymptotics for the limiting distribution, and large deviations (extended abstract). Zbl 1430.68067 Fill, James Allen; Hung, Wei-Chun 2 2019 29th international conference on probabilistic, combinatorial and asymptotic methods for the analysis of algorithms, AofA 2018, June 25–29, 2018, Uppsala, Sweden. Zbl 1390.68020 1 2018 Strong stationary duality for diffusion processes. Zbl 1386.60272 Fill, James Allen; Lyzinski, Vince 6 2016 Towards a realistic analysis of the QuickSelect algorithm. Zbl 1341.68035 Clément, Julien; Fill, James Allen; Thu Hien Nguyen Thi; Vallée, Brigitte 3 2016 Hitting times and interlacing eigenvalues: a stochastic approach using intertwinings. Zbl 1320.60129 Fill, James Allen; Lyzinski, Vince 5 2014 Quickselect tree process convergence, with an application to distributional convergence for the number of symbol comparisons used by worst-case find. Zbl 1329.60082 Fill, James Allen; Matterer, Jason 3 2014 Comparison inequalities and fastest-mixing Markov chains. Zbl 1288.60089 Fill, James Allen; Kahn, Jonas 9 2013 Distributional convergence for the number of symbol comparisons used by QuickSelect. Zbl 1278.68354 Fill, James Allen; Nakama, Takehiko 6 2013 Distributional convergence for the number of symbol comparisons used by QuickSort. Zbl 1272.68482 Fill, James Allen 5 2013 Exact \(L^2\)-distance from the limit for QuickSort key comparisons (extended abstract). Zbl 1296.68039 Bindjeme, Patrick; Fill, James Allen 5 2012 The number of bit comparisons used by quicksort: an average-case analysis. Zbl 1244.68090 Fill, James Allen; Janson, Svante 4 2012 Partitions with distinct multiplicities of parts: on an “unsolved problem” posed by Herbert Wilf. Zbl 1243.05025 Fill, James Allen; Janson, Svante; Ward, Mark Daniel 1 2012 The limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract). Zbl 1296.68040 Bindjeme, Patrick; Fill, James Allen 1 2012 On vertex, edge, and vertex-edge random graphs. Zbl 1217.05205 Beer, Elizabeth; Fill, James Allen; Janson, Svante; Scheinerman, Edward R. 3 2011 On vertex, edge, and vertex-edge random graphs (extended abstract). Zbl 1429.05187 Beer, Elizabeth; Fill, James Allen; Janson, Svante; Scheinerman, Edward R. 2 2011 Perfect simulation of Vervaat perpetuities. Zbl 1202.60120 Fill, James Allen; Huber, Mark L. 21 2010 Analysis of the expected number of bit comparisons required by quickselect. Zbl 1202.68128 Fill, James Allen; Nakama, Takéhiko 8 2010 On hitting times and fastest strong stationary times for skip-free and more general chains. Zbl 1173.60337 Fill, James Allen 29 2009 The passage time distribution for a birth-and-death chain: Strong stationary duality gives a first stochastic proof. Zbl 1178.60054 Fill, James Allen 25 2009 The number of symbol comparisons in QuickSort and QuickSelect. Zbl 1248.68181 Vallée, Brigitte; Clément, Julien; Fill, James Allen; Flajolet, Philippe 12 2009 Precise logarithmic asymptotics for the right tails of some limit random variables for random trees. Zbl 1232.60021 Fill, James Allen; Janson, Svante 7 2009 Destruction of very simple trees. Zbl 1106.68081 Fill, James Allen; Kapur, Nevin; Panholzer, Alois 5 2006 Singularity analysis, Hadamard products, and tree recurrences. Zbl 1056.05011 Fill, James Allen; Flajolet, Philippe; Kapur, Nevin 27 2005 Transfer theorems and asymptotic distributional results for \(m\)-ary search trees. Zbl 1101.68018 Fill, James Allen; Kapur, Nevin 13 2005 A repertoire for additive functionals of uniformly distributed \(m\)-ary search trees. Zbl 1104.68030 Fill, James Allen; Kapur, Nevin 2 2005 Limiting distributions for additive functionals on Catalan trees. Zbl 1071.68102 Fill, James Allen; Kapur, Nevin 23 2004 Asymptotic analysis via Mellin transforms for small deviations in \(L^2\)-norm of integrated Brownian sheets. Zbl 1052.60027 Fill, James Allen; Torcaso, Fred 14 2004 The number of bit comparisons used by Quicksort, an average-case analysis. Zbl 1317.68292 Fill, James Allen; Janson, Svante 5 2004 Speeding up the FMMR perfect sampling algorithm: A case study revisited. Zbl 1042.65014 Dobrow, Robert P.; Fill, James Allen 1 2003 Quicksort asymptotics. Zbl 1011.68028 Fill, James Allen; Janson, Svante 16 2002 Realizable monotonocity and inverse probability transform. Zbl 1139.60304 Fill, James Allen; Machida, Motoya 1 2002 Stochastic monotonicity and realizable monotonicity. Zbl 1015.60010 Fill, James Allen; Machida, Motoya 15 2001 Approximating the limiting quicksort distribution. Zbl 0990.68053 Fill, James Allen; Janson, Svante 11 2001 Mixing times for Markov chains on wreath products and related homogeneous spaces. Zbl 0976.60069 Fill, James Allen; Schoolfield, Clyde H. jun. 2 2001 Random intersection graphs when \(m=\omega(n)\): An equivalence theorem relating the evolution of the \(G(n,m,p)\) and \(G(n,p)\) models. Zbl 0951.05096 Fill, James Allen; Scheinerman, Edward R.; Singer-Cohen, Karen B. 33 2000 The Moore–Penrose generalized inverse for sums of matrices. Zbl 0949.15009 Fill, James Allen; Fishkind, Donniell E. 27 2000 Extension of Fill’s perfect rejection sampling algorithm to general chains. Zbl 1122.60310 Fill, James Allen; Machida, Motoya; Murdoch, Duncan J.; Rosenthal, Jeffrey S. 21 2000 A characterization of the set of fixed points of the quicksort transformation. Zbl 0943.68192 Fill, James Allen; Janson, Svante 15 2000 Smoothness and decay properties of the limiting quicksort density function. Zbl 0967.68180 Fill, James Allen; Janson, Svante 13 2000 Perfect simulation from the quicksort limit distribution. Zbl 0958.65012 Devroye, Luc; Fill, James Allen; Neininger, Ralph 7 2000 Total path length for random recursive trees. Zbl 0946.05077 Dobrow, Robert P.; Fill, James Allen 18 1999 An interruptible algorithm for perfect sampling via Markov chains. Zbl 0963.68222 Fill, James Allen 2 1999 Affine isomorphism for partially ordered sets. Zbl 0930.06001 Fill, James Allen; Fishkind, Donniell E.; Scheinerman, Edward R. 1 1999 An interruptible algorithm for perfect sampling via Markov chains. Zbl 0939.60084 Fill, James Allen 47 1998 The move-to-front rule: A case study for two perfect sampling algorithms. Zbl 0978.62013 Fill, James Allen 3 1998 Wall and Siegmund duality relations for birth and death chains with reflecting barrier. Zbl 0894.60076 Dette, Holger; Fill, James Allen; Pitman, Jim; Studden, William J. 13 1997 An exact formula for the move-to-front rule for self-organizing lists. Zbl 0837.60063 Fill, James Allen 30 1996 On the distribution for the duration of a randomized leader election algorithm. Zbl 0870.60018 Fill, James Allen; Mahmoud, Hosam M.; Szpankowski, Wojciech 27 1996 On the distribution of binary search trees under the random permutation model. Zbl 0840.60065 Fill, James Allen 20 1996 On the distribution of search cost for the move-to-front rule. Zbl 0852.60089 Fill, James Allen; Holst, Lars 17 1996 Limits and rates of convergence for the distribution of search cost under the move-to-front rule. Zbl 0871.68067 Fill, James Allen 15 1996 Multiway trees of maximum and minimum probability under the random permutation model. Zbl 0863.68057 Dobrow, Robert P.; Fill, James Allen 4 1996 The move-to-front rule for self-organizing lists with Markov dependent requests. Zbl 0827.60054 Dobrow, Robert P.; Fill, James Allen 8 1995 On the Markov chain for the move-to-root rule for binary search trees. Zbl 0822.60058 Dobrow, Robert P.; Fill, James Allen 4 1995 Rates of convergence for the move-to-root Markov chain for binary search trees. Zbl 0822.60059 Dobrow, Robert P.; Fill, James Allen 2 1995 Percolation, first-passage percolation and covering times for Richardson’s model on the \(n\)-cube. Zbl 0783.60102 Fill, James Allen; Pemantle, Robin 19 1993 Analysis of top to random shuffles. Zbl 0798.60008 Diaconis, Persi; Fill, James Allen; Pitman, Jim 26 1992 Strong stationary duality for continuous-time Markov chains. I: Theory. Zbl 0746.60075 Fill, James Allen 18 1992 Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process. Zbl 0726.60069 Fill, James Allen 88 1991 Time to stationarity for a continuous-time Markov chain. Zbl 1134.60363 Fill, James Allen 8 1991 Strong stationary times via a new form of duality. Zbl 0723.60083 Diaconis, Persi; Fill, James Allen 118 1990 Examples for the theory of strong stationary duality with countable state spaces. Zbl 1134.60358 Diaconis, Persi; Fill, James Allen 3 1990 The Radon transform on \({\mathbb{Z}}_ n\). Zbl 0712.44001 Fill, James Allen 4 1989 The convergence rate for the strong law of large numbers: General lattice distributions. Zbl 0643.60024 Fill, James Allen; Wichura, Michael J. 1 1989 Asymptotic expansions for large deviation probabilities in the strong law of large numbers. Zbl 0643.60025 Fill, James Allen 1 1989 Bounds on the coarseness of random sums. Zbl 0655.60015 Fill, James Allen 2 1988 Convergence rates related to the strong law of large numbers. Zbl 0502.60021 Fill, James Allen 4 1983 Combinatorial algorithms: Theory and practice. Solutions Manual. Zbl 0367.68033 Fill, James Allen; Reingold, Edward M. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 815 Authors 36 Fill, James Allen 18 Diaconis, Persi Warren 15 Miclo, Laurent 13 Janson, Svante 13 Mahmoud, Hosam M. 13 Neininger, Ralph 12 Borodin, Alexei 11 Huillet, Thierry E. 10 Fuchs, Michael 10 Nikoletseas, Sotiris E. 10 Raptopoulos, Christoforos L. 10 Saloff-Coste, Laurent 10 Spirakis, Paul G. 9 Patie, Pierre 8 Jelenković, Predrag R. 8 Mao, Yonghua 8 Olvera-Cravioto, Mariana 8 Petrov, Leonid 7 Panholzer, Alois 7 Rösler, Uwe 6 Choi, Michael C. H. 6 Drmota, Michael 6 Huber, Mark L. 6 Hwang, Hsien-Kuei 6 Lorek, Paweł 6 Rybarczyk, Katarzyna 5 Barrera, Javiera 5 Fulman, Jason E. 5 Gorin, Vadim 5 Holmgren, Cecilia Ingrid 5 Rüschendorf, Ludger 5 Vallée, Brigitte 4 Assiotis, Theodoros 4 Ceyhan, Elvan 4 Corwin, Ivan Z. 4 Devroye, Luc P. J. A. 4 Hung, Wei-Chun 4 Kalpathy, Ravi 4 Kistler, Nicola 4 Lubetzky, Eyal 4 Nazarov, Alexander I. 4 Paroissin, Christian 4 Peres, Yuval 4 Prodinger, Helmut 4 Reidys, Christian Michael 4 Roberts, Gareth O. 4 Rosenthal, Jeffrey S. 4 Schilling, Anne 4 Ward, Mark Daniel 4 Zhang, Chi 3 Aldous, David John 3 Alsmeyer, Gerold 3 Avena, Luca 3 Ayyer, Arvind 3 Bhattacharjee, Chinmoy 3 Bhattacharya, Rabi N. 3 Brown, Mark 3 Bufetov, Alekseĭ Igor’evich 3 Castell, Fabienne 3 Chung, Fan 3 Clément, Julien 3 Corcoran, Jem N. 3 De Santis, Emilio 3 Gao, Fuchang 3 Garcia, Nancy L. 3 Gaudilliere, Alexandre 3 Iksanov, Aleksander M. 3 Kapur, Nevin 3 Kendall, Wilfrid S. 3 Khare, Kshitij 3 Kuan, Jeffrey 3 Kuba, Markus F. 3 Leckey, Kevin 3 Li, Wenbo V. 3 Louchard, Guy 3 Louis, Pierre-Yves 3 Machida, Motoya 3 Mélot, Clothilde 3 Möhle, Martin 3 Morris, Ben J. 3 O’Connell, Neil 3 Pang, C. Y. Amy 3 Richard, Christoph 3 Robert, Christian P. 3 Rozovskiĭ, Leonid Viktorovich 3 Savov, Mladen Svetoslavov 3 Schertzer, Adrien 3 Shkolnikov, Mykhaylo 3 Stark, Dudley 3 Swart, Jan M. 3 Temme, Kristan 3 Tian, Yongge 3 Xiong, Zhiping 2 Addario-Berry, Louigi 2 Bahadoran, Christophe 2 Bandyopadhyay, Antar 2 Bercea, Ioana Oriana 2 Blackburn, Simon R. 2 Bloznelis, Mindaugas 2 Broutin, Nicolas ...and 715 more Authors all top 5 Cited in 182 Serials 44 The Annals of Applied Probability 28 Journal of Applied Probability 27 Stochastic Processes and their Applications 24 Journal of Theoretical Probability 21 Theoretical Computer Science 20 Random Structures & Algorithms 20 Combinatorics, Probability and Computing 20 Electronic Journal of Probability 19 Probability Theory and Related Fields 18 Advances in Applied Probability 14 The Annals of Probability 13 Statistics & Probability Letters 13 Linear Algebra and its Applications 10 Journal of Statistical Physics 9 Discrete Mathematics 9 Methodology and Computing in Applied Probability 9 ALEA. Latin American Journal of Probability and Mathematical Statistics 8 Advances in Mathematics 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Probability in the Engineering and Informational Sciences 7 Algorithmica 7 Bernoulli 6 Journal of Mathematical Biology 6 Journal of Computational and Applied Mathematics 6 Journal of Algebraic Combinatorics 6 The Electronic Journal of Combinatorics 6 Electronic Communications in Probability 6 Annals of Combinatorics 5 Discrete Applied Mathematics 5 Journal of Combinatorial Theory. Series A 5 Operations Research Letters 5 Stochastic Models 4 Communications in Mathematical Physics 4 Linear and Multilinear Algebra 4 Transactions of the American Mathematical Society 4 Communications in Statistics. Simulation and Computation 3 Information Processing Letters 3 Journal of the Franklin Institute 3 Journal of Mathematical Physics 3 Mathematical Biosciences 3 The Annals of Statistics 3 Operations Research 3 Advances in Applied Mathematics 3 SIAM Journal on Discrete Mathematics 3 Communications in Statistics. Theory and Methods 3 Electronic Journal of Statistics 3 Probability Surveys 2 Journal of Mathematical Analysis and Applications 2 Lithuanian Mathematical Journal 2 Annals of the Institute of Statistical Mathematics 2 Applied Mathematics and Computation 2 International Statistical Review 2 Journal of Functional Analysis 2 Journal of Statistical Planning and Inference 2 Statistics 2 Queueing Systems 2 Annals of Operations Research 2 Geometric and Functional Analysis. GAFA 2 Computational Statistics 2 Computational Statistics and Data Analysis 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied and Computational Harmonic Analysis 2 Selecta Mathematica. New Series 2 Monte Carlo Methods and Applications 2 Discussiones Mathematicae. Graph Theory 2 Mathematical Problems in Engineering 2 Theory of Computing Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Acta Mathematica Sinica. English Series 2 Statistics and Computing 2 Journal of Theoretical Biology 2 La Matematica 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Scandinavian Journal of Statistics 1 Bulletin of Mathematical Biology 1 Theory of Probability and its Applications 1 Automatica 1 Compositio Mathematica 1 Computing 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of the American Statistical Association 1 Journal of Combinatorial Theory. Series B 1 Journal of Computer and System Sciences 1 Journal of Mathematical Psychology 1 Journal of Multivariate Analysis 1 Journal of Number Theory 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik ...and 82 more Serials all top 5 Cited in 41 Fields 457 Probability theory and stochastic processes (60-XX) 187 Combinatorics (05-XX) 137 Computer science (68-XX) 64 Statistical mechanics, structure of matter (82-XX) 62 Statistics (62-XX) 52 Numerical analysis (65-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 27 Operator theory (47-XX) 26 Biology and other natural sciences (92-XX) 20 Operations research, mathematical programming (90-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Group theory and generalizations (20-XX) 15 Dynamical systems and ergodic theory (37-XX) 10 Special functions (33-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 8 Number theory (11-XX) 7 Partial differential equations (35-XX) 7 Functional analysis (46-XX) 7 Convex and discrete geometry (52-XX) 6 Functions of a complex variable (30-XX) 6 Quantum theory (81-XX) 5 Integral transforms, operational calculus (44-XX) 4 Associative rings and algebras (16-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 3 Sequences, series, summability (40-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) Citations by Year