Edit Profile (opens in new tab) Foss, Sergey G. Co-Author Distance Author ID: foss.sergey-g Published as: Foss, Sergey; Foss, S. G.; Foss, Serguei; Foss, S.; Foss, Sergeĭ Georgievich; Foss, Sergey Georgievich; Foss, Sergey G. more...less Homepage: http://math.nsc.ru/LBRT/v1/foss/ External Links: MGP · ORCID · Math-Net.Ru Documents Indexed: 127 Publications since 1978, including 3 Books and 3 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 82 Co-Authors with 112 Joint Publications 2,713 Co-Co-Authors all top 5 Co-Authors 19 single-authored 16 Korshunov, Dmitriĭ Alekseevich 12 Baccelli, François Louis 10 Konstantopoulos, Takis 9 Zachary, Stan 7 Denisov, Denis E. 6 Shneer, Vsevolod Vladislavovich 5 Turlikov, Andrey M. 4 Asmussen, Søren 4 Chernova, N. I. 4 Last, Günter 4 Palmowski, Zbigniew 3 Borovkov, Aleksandr Alekseevich 3 Chernova, Natalia 3 Miyazawa, Masakiyo 3 Sakhanenko, Aleksandr Ivanovich 2 Altman, Eitan 2 Bordenave, Charles 2 Boxma, Onno Johan 2 Chebunin, Mikhail Georgievich 2 Kim, Bara 2 Kim, Dmitry Konstantinovich 2 Kovalevskiĭ, Artëm Pavlovich 2 Lelarge, Marc 2 Mallein, Bastien 2 Mogul’skii, Anatolii Alfredovich 2 Mountford, Thomas S. 2 Prasolov, Timofeĭ Vycheslavovich 2 Ramassamy, Sanjay 2 Remerova, Maria 2 Rogozin, B. A. 2 Sapozhnikov, Artëm 2 Tweedie, Richard Lewis 2 Zwart, Bert P. 1 Adan, Ivo J. B. F. 1 Boon, Marko A. A. 1 Borisov, Igor Semenovich 1 Brémaud, Pierre 1 Buckland, Stephen T. 1 Carofiglio, Giovanna 1 Chang-Lara, Héctor A. 1 Chen, Xinyun 1 Corcoran, Jem N. 1 Dai, J. G. (Jim) 1 Gaujal, Bruno 1 Hajek, Bruce Edward 1 Harrison, Phil J. 1 Ibragimov, Il’dar Abdullovich 1 Johnston, Alison 1 Kalashnikov, Vladimir Vyacheslavovich 1 Kroese, Dirk P. 1 Lasgouttes, Jean-Marc 1 Lotov, Vladimir Ivanovich 1 Mairesse, Jean 1 Mandjes, Michel Robertus Hendrikus 1 Martin, James Benedict 1 Núñez-Queija, Rudesindo 1 Prabhakar, Balaji 1 Prokhorov, Yuriĭ Vasil’evich 1 Puhalskii, Anatolii A. 1 Pyatkin, Artëm Valer’evich 1 Richards, Andrew 1 Riehl, Eric 1 Rojas-Nandayapa, Leonardo 1 Rolla, Leonardo T. 1 Rolski, Tomasz 1 Rybko, Aleksandr N. 1 Sankararaman, Abishek 1 Scheutzow, Michael K. R. 1 Schmidt, Philipp 1 Schulte, Matthias 1 Sidoravicius, Vladas 1 Stidham, Shaler jun. 1 Stolyar, Alexander L. 1 Tesemnivkov, P. I. 1 Thomas, Jonathan P. 1 Topchiĭ, Valentin Alekseevich 1 Wang, Yuebao 1 Weiss, Gideon 1 Worrall, Tim 1 Xu, Hui 1 Yuan, Yuan 1 Zuyev, Sergei all top 5 Serials 17 Queueing Systems 8 Problems of Information Transmission 8 Journal of Applied Probability 8 Sibirskiĭ Matematicheskiĭ Zhurnal 8 The Annals of Applied Probability 7 Advances in Applied Probability 6 Sibirskie Èlektronnye Matematicheskie Izvestiya 5 Siberian Mathematical Journal 5 Markov Processes and Related Fields 3 Theory of Probability and its Applications 3 Mathematics of Operations Research 3 Journal of Theoretical Probability 3 Stochastic Processes and their Applications 2 Journal of Statistical Physics 2 The Annals of Probability 2 Statistics & Probability Letters 2 Operations Research Letters 2 Bernoulli 2 Extremes 2 Probability in the Engineering and Informational Sciences 2 Springer Series in Operations Research and Financial Engineering 1 Russian Mathematical Surveys 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 IEEE Transactions on Automatic Control 1 Journal of Economic Theory 1 Journal of the Operations Research Society of Japan 1 Operations Research 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Communications in Statistics. Stochastic Models 1 Annals of Operations Research 1 Siberian Advances in Mathematics 1 Problemy Peredachi Informatsii 1 Top 1 Oberwolfach Reports 1 Proceedings of the Steklov Institute of Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Probability Surveys 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Stochastic Systems all top 5 Fields 113 Probability theory and stochastic processes (60-XX) 53 Operations research, mathematical programming (90-XX) 10 Computer science (68-XX) 8 Combinatorics (05-XX) 4 General and overarching topics; collections (00-XX) 4 Statistics (62-XX) 4 Systems theory; control (93-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 1,420 times in 858 Documents Cited by ▼ Year ▼ An introduction to heavy-tailed and subexponential distributions. 1st ed. Zbl 1250.62025 Foss, Sergey; Korshunov, Dmitry; Zachary, Stan 148 2011 An introduction to heavy-tailed and subexponential distributions. 2nd updated ed. Zbl 1274.62005 Foss, Sergey; Korshunov, Dmitry; Zachary, Stan 141 2013 Asymptotics for sums of random variables with local subexponential behaviour. Zbl 1033.60053 Asmussen, Søren; Foss, Serguei; Korshunov, Dmitry 72 2003 The maximum on a random time interval of a random walk with long-tailed increments and negative drift. Zbl 1045.60039 Foss, Serguei; Zachary, Stan 51 2003 An overview of some stochastic stability methods. Zbl 1134.93412 Foss, Serguei; Konstantopoulos, Takis 46 2004 Asymptotics of randomly stopped sums in the presence of heavy tails. Zbl 1208.60041 Denisov, Denis; Foss, Serguei; Korshunov, Dmitry 37 2010 Tail asymptotics for the supremum of a random walk when the mean is not finite. Zbl 1056.90028 Denisov, Denis; Foss, Serguei; Korshunov, Dima 37 2004 Perfect simulation and backward coupling. Zbl 0934.60088 Foss, S. G.; Tweedie, R. L. 36 1998 On the stability of a partially accessible multi-station queue with state-dependent routing. Zbl 0915.60089 Foss, Serguei; Chernova, Natalia 35 1998 Stochastically recursive sequences and their generalizations. Zbl 0848.60025 Borovkov, A. A.; Foss, S. G. 31 1993 Lower limits and equivalences for convolution tails. Zbl 1129.60014 Foss, Serguei; Korshunov, Dmitry 31 2007 Discrete and continuous time modulated random walks with heavy-tailed increments. Zbl 1131.60040 Foss, Serguei; Konstantopoulos, Takis; Zachary, Stan 29 2007 On sums of conditionally independent subexponential random variables. Zbl 1226.60066 Foss, Serguei; Richards, Andrew 28 2010 Moments and tails in monotone-separable stochastic networks. Zbl 1048.60067 Baccelli, François; Foss, Serguei 28 2004 Convolution and convolution-root properties of long-tailed distributions. Zbl 1327.60042 Xu, Hui; Foss, Sergey; Wang, Yuebao 23 2015 Heavy tails in multi-server queue. Zbl 1091.60029 Foss, Serguei; Korshunov, Dmitry 23 2006 On the saturation rule for the stability of queues. Zbl 0823.60092 Baccelli, François; Foss, Serguei 20 1995 Ergodicity of Jackson-type queueing networks. Zbl 0826.60081 Baccelli, François; Foss, Serguei 19 1994 The probability of exceeding a high boundary on a random time interval for a heavy-tailed random walk. Zbl 1083.60036 Foss, Serguei; Palmowski, Zbigniew; Zachary, Stan 19 2005 Extended renovation theory and limit theorems for stochastic ordered graphs. Zbl 1043.60025 Foss, S.; Konstantopoulos, T. 19 2003 Stability of polling systems with exhaustive service policies and state-dependent routing. Zbl 0863.60091 Foss, Serguei; Last, Günter 18 1996 Sampling at a random time with a heavy-tailed distribution. Zbl 0977.60091 Foss, S.; Korshunov, D. 18 2000 A stability criterion via fluid limits and its application to a polling system. Zbl 0945.90013 Foss, Serguei; Kovalevskij, Artyom 17 1999 Convolutions of long-tailed and subexponential distributions. Zbl 1178.60011 Foss, Sergey; Korshunov, Dmitry; Zachary, Stan 17 2009 On large delays in multi-server queues with heavy tails. Zbl 1242.90062 Foss, Sergey; Korshunov, Dmitry 17 2012 Two ergodicity criteria for stochastically recursive sequences. Zbl 0810.60029 Borovkov, A.; Foss, S. G. 14 1994 Regeneration and renovation in queues. Zbl 0728.60090 Foss, S. G.; Kalashnikov, V. V. 14 1991 Waiting time asymptotics in the single server queue with service in random order. Zbl 1056.90027 Boxma, O. J.; Foss, S. G.; Lasgouttes, J.-M.; Núñez Queija, R. 14 2004 Comparison of servicing strategies in multichannel queueing systems. Zbl 0479.60091 Foss, S. G. 13 1981 On the stability of greedy polling systems with general service policies. Zbl 0962.60099 Foss, Serguei; Last, Günter 13 1998 Ergodicity of queueing networks. Zbl 0758.60098 Foss, S. G. 12 1991 Limit theorems for a random directed slab graph. Zbl 1241.05132 Denisov, D.; Foss, S.; Konstantopoulos, T. 12 2012 On a Voronoi aggregative process related to a bivariate Poisson process. Zbl 0867.60004 Foss, S. G.; Zuyev, S. A. 11 1996 On ergodicity conditions in multichannel queueing systems with expectation. Zbl 0536.60091 Foss, S. G. 11 1983 On optimality of the FCFS discipline in multiserver queueing systems and networks. Zbl 1074.60508 Foss, S. G.; Chernova, N. I. 11 2001 Two-dimensional ruin probability for subexponential claim size. Zbl 1393.60100 Foss, Sergey; Korshunov, Dmitry; Palmowski, Zbigniew; Rolski, Tomasz 11 2017 On lower limits and equivalences for distribution tails of randomly stopped sums. Zbl 1157.60315 Denisov, Denis; Foss, Serguei; Korshunov, Dmitry 11 2008 Tails in generalized Jackson networks with subexponential service-time distributions. Zbl 1077.60067 Baccelli, François; Foss, Serguei; Lelarge, Marc 11 2005 Estimates for overshooting an arbitrary boundary by a random walk and their applications. Zbl 0969.60074 Borovkov, A. A.; Foss, S. G. 11 1999 Asymptotics of subexponential max plus networks: the stochastic event graph case. Zbl 1061.90028 Baccelli, François; Lelarge, Marc; Foss, Serguei 11 2004 Polling on a space with general arrival and service time distribution. Zbl 0879.90094 Altman, Eitan; Foss, Serguei 10 1997 Simulating the invariant measures of Markov chains using backward coupling at regeneration times. Zbl 0956.65004 Foss, S. G.; Tweedie, R. L.; Corcoran, J. N. 10 1998 Stability and performance of greedy server systems. Zbl 1275.60085 Rojas-Nandayapa, Leonardo; Foss, Sergey; Kroese, Dirk P. 10 2011 Long-range last-passage percolation on the line. Zbl 1293.60090 Foss, Sergey; Martin, James B.; Schmidt, Philipp 9 2014 Large-scale join-idle-queue system with general service times. Zbl 1403.90238 Foss, S.; Stolyar, A. L. 9 2017 On the exact distributional asymptotics for the supremum of a random walk with increments in a class of light-tailed distribution. Zbl 1150.60380 Zachary, Stan; Foss, S. G. 9 2006 Recurrency of an oscillating random walk. Zbl 0423.60059 Rogozin, B. A.; Foss, S. G. 8 1978 Stochastic stability of monotone economies in regenerative environments. Zbl 1400.91327 Foss, Sergey; Shneer, Vsevolod; Thomas, Jonathan P.; Worrall, Tim 8 2018 Comparison theorems and ergodic properties of polling systems. Zbl 1038.60502 Foss, S. G.; Chernova, N. I. 8 1996 Stationary ergodic Jackson networks: Results and counter-examples. Zbl 0856.60090 Baccelli, François; Foss, Serguei; Mairesse, Jean 7 1996 Greedy walk on the real line. Zbl 1327.60176 Foss, Sergey; Rolla, Leonardo T.; Sidoravicius, Vladas 7 2015 Asymptotics for the maximum of a modulated random walk with heavy-tailed increments. Zbl 1021.60054 Foss, S.; Zachary, S. 7 2002 On the approximation of multichannel service systems. Zbl 0453.60088 Foss, S. G. 6 1980 The recurrency of an oscillating random walk. Zbl 0382.60076 Rogozin, B. A.; Foss, S. G. 6 1978 Stochastic sequences with a regenerative structure that may depend both on the future and on the past. Zbl 1293.60083 Foss, Sergey; Zachary, Stan 6 2013 Approximation of multichannel queueing systems. Zbl 0461.60097 Foss, S. G. 6 1981 Comparison of service disciplines in multichannel service systems. Zbl 0467.60085 Foss, S. G. 6 1981 Regular variation in a fixed-point problem for single- and multi-class branching processes and queues. Zbl 1443.60077 Asmussen, Søren; Foss, Sergey 6 2018 Poisson hail on a hot ground. Zbl 1230.60097 Baccelli, Francois; Foss, Sergey 6 2011 On the greedy walk problem. Zbl 1275.60048 Bordenave, Charles; Foss, Sergey; Last, Günter 6 2011 Renovation, regeneration, and coupling in multiple-server queues in continuous time. Zbl 0814.60087 Asmussen, S.; Foss, S. G. 5 1993 Random fluid limit of an overloaded polling model. Zbl 1292.60093 Remerova, Maria; Foss, Sergey; Zwart, Bert 5 2014 Queues with customers of several types. Zbl 0539.90028 Foss, S. G. 5 1984 On transience conditions for Markov chains. Zbl 1074.60505 Foss, S. G.; Denisov, D. Eh. 5 2001 Lower limits for distribution tails of randomly stopped sums. Zbl 1166.60026 Denisov, D. E.; Korshunov, D. A.; Foss, S. G. 5 2008 On the existence of moments for the busy period in a single-server queue. Zbl 1082.60082 Foss, S.; Sapozhnikov, A. 5 2004 On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times. Zbl 1166.60056 Foss, S. G. 5 2007 Limiting properties of random graph models with vertex and edge weights. Zbl 1404.05193 Foss, Sergey; Konstantopoulos, Takis 5 2018 Performance bounds and pathwise stability for generalized vacation and polling systems. Zbl 0987.90019 Altman, Eitan; Foss, Serguei; Riehl, Eric; Stidham, Shaler jun. 5 1998 Free-choice Petri nets – an algebraic approach. Zbl 1041.93500 Baccelli, François; Foss, Serguei; Gaujal, Bruno 4 1996 On polling systems with infinitely many stations. Zbl 0882.60089 Foss, S. G.; Chernova, N. I. 4 1996 Two-node fluid network with a heavy-tailed random input: the strong stability case. Zbl 1317.60120 Foss, Sergey; Miyazawa, Masakiyo 4 2014 On the ergodicity conditions for stochastically recursive sequences. Zbl 0828.60024 Foss, S. G. 4 1992 On exceedance times for some processes with dependent increments. Zbl 1296.60120 Asmussen, Søren; Foss, Sergey 4 2014 Stability of a Markov-modulated Markov chain, with application to a wireless network governed by two protocols. Zbl 1292.93139 Foss, Sergey; Shneer, Seva; Turlikov, Andrey 4 2012 A random multiple-access protocol with spatial interactions. Zbl 1187.60071 Bordenave, Charles; Foss, Serguei; Shneer, Vsevolod 4 2009 On the stability of a queueing system with uncountably branching fluid limits. Zbl 1101.90019 Kovalevskiĭ, A. P.; Topchiĭ, V. A.; Foss, S. G. 4 2005 A polling system whose stability region depends on the whole distribution of service times. Zbl 1262.90044 Chernova, Natalia; Foss, Sergey; Kim, Bara 4 2013 On the limit law of a random walk conditioned to reach a high level. Zbl 1225.60076 Foss, Sergey G.; Puhalskii, Anatolii A. 4 2011 Some properties of open queueing networks. Zbl 0689.90033 Foss, S. G. 3 1989 Power law condition for stability of Poisson hail. Zbl 1397.82031 Foss, Sergey; Konstantopoulos, Takis; Mountford, Thomas 3 2018 Interference queueing networks on grids. Zbl 1442.60104 Sankararaman, Abishek; Baccelli, François; Foss, Sergey 3 2019 Stability of multiclass Jackson-type networks. Zbl 0902.60081 Foss, S. G.; Rybko, A. N. 3 1996 Local stability in a transient Markov chain. Zbl 1450.60035 Adan, Ivo; Foss, Sergey; Shneer, Seva; Weiss, Gideon 3 2020 Tails in a fixed-point problem for a branching process with state-independent immigration. Zbl 1465.60078 Foss, Sergey; Miyazawa, Masakiyo 3 2020 On a structure of a conditioned random walk on the integers with bounded local times. Zbl 1390.60361 Sakhanenko, Aleksandr Ivanovich; Foss, Sergeĭ Georgievich 2 2017 Probabilistic and analytical properties of the last passage percolation constant in a weighted random directed graph. Zbl 1525.60112 Foss, Sergey; Konstantopoulos, Takis; Pyatkin, Artem 2 2023 On ergodic algorithms in random multiple access systems with “success-failure” feedback. Zbl 1237.94006 Turlikov, A. M.; Foss, S. G. 2 2010 Shape theorems for Poisson hail on a bivariate ground. Zbl 1342.60010 Baccelli, François; Chang-Lara, Héctor A.; Foss, Sergey 2 2016 Stability and instability of a random multiple access model with adaptive energy harvesting. Zbl 1345.60122 Foss, Sergey; Kim, Dmitry; Turlikov, Andrey 2 2016 Fluid limits for an ALOHA-type model with impatient customers. Zbl 1275.60076 Frolkova, Maria; Foss, Sergey; Zwart, Bert 2 2012 Random multiple access with common energy harvesting mechanism. Zbl 1329.60312 Kim, D. K.; Turlikov, A. M.; Foss, S. G. 2 2014 Conditions for ergodicity in queues with many servers and waiting. Zbl 0559.60076 Foss, S. G. 1 1983 Ergodicity of partially accessible multichannel communication systems. Zbl 0741.94011 Foss, S. G.; Chernova, N. I. 1 1991 Some properties of open queueing networks. Zbl 0708.90031 Foss, S. G. 1 1989 Using species proportions to quantify turnover in biodiversity. Zbl 1347.62235 Yuan, Yuan; Buckland, Stephen T.; Harrison, Phil J.; Foss, Sergey; Johnston, Alison 1 2016 On the stability of a polling system with an adaptive service mechanism. Zbl 1259.90019 Chernova, Natalia; Foss, Sergey; Kim, Bara 1 2012 Doubly randomized protocols for a random multiple access channel with “success-nonsuccess” feedback. Zbl 1369.60064 Foss, S. G.; Hajek, B.; Turlikov, A. M. 1 2016 Limit theorems for the maximal path weight in a directed graph on the line with random weights of edges. Zbl 1469.05064 Konstantopoulos, T.; Logachov, A. V.; Mogulskii, A. A.; Foss, S. G. 1 2021 Structural properties of conditioned random walks on integer lattices with random local constraints. Zbl 1469.60359 Foss, Sergey; Sakhanenko, Alexander 1 2021 Migration-contagion processes. Zbl 07807057 Baccelli, F.; Foss, S.; Shneer, S. 1 2024 Probabilistic and analytical properties of the last passage percolation constant in a weighted random directed graph. Zbl 1525.60112 Foss, Sergey; Konstantopoulos, Takis; Pyatkin, Artem 2 2023 Estimation of the last passage percolation constant in a charged complete directed acyclic graph via perfect simulation. Zbl 07799661 Foss, Sergey; Konstantopoulos, Takis; Mallein, Bastien; Ramassamy, Sanjay 1 2023 Limit theorems for the maximal path weight in a directed graph on the line with random weights of edges. Zbl 1469.05064 Konstantopoulos, T.; Logachov, A. V.; Mogulskii, A. A.; Foss, S. G. 1 2021 Structural properties of conditioned random walks on integer lattices with random local constraints. Zbl 1469.60359 Foss, Sergey; Sakhanenko, Alexander 1 2021 Local stability in a transient Markov chain. Zbl 1450.60035 Adan, Ivo; Foss, Sergey; Shneer, Seva; Weiss, Gideon 3 2020 Tails in a fixed-point problem for a branching process with state-independent immigration. Zbl 1465.60078 Foss, Sergey; Miyazawa, Masakiyo 3 2020 Interference queueing networks on grids. Zbl 1442.60104 Sankararaman, Abishek; Baccelli, François; Foss, Sergey 3 2019 Stochastic stability of monotone economies in regenerative environments. Zbl 1400.91327 Foss, Sergey; Shneer, Vsevolod; Thomas, Jonathan P.; Worrall, Tim 8 2018 Regular variation in a fixed-point problem for single- and multi-class branching processes and queues. Zbl 1443.60077 Asmussen, Søren; Foss, Sergey 6 2018 Limiting properties of random graph models with vertex and edge weights. Zbl 1404.05193 Foss, Sergey; Konstantopoulos, Takis 5 2018 Power law condition for stability of Poisson hail. Zbl 1397.82031 Foss, Sergey; Konstantopoulos, Takis; Mountford, Thomas 3 2018 Customer sojourn time in \(GI/GI/1\) feedback queue in the presence of heavy tails. Zbl 1403.60076 Foss, Sergey; Miyazawa, Masakiyo 1 2018 Two-dimensional ruin probability for subexponential claim size. Zbl 1393.60100 Foss, Sergey; Korshunov, Dmitry; Palmowski, Zbigniew; Rolski, Tomasz 11 2017 Large-scale join-idle-queue system with general service times. Zbl 1403.90238 Foss, S.; Stolyar, A. L. 9 2017 On a structure of a conditioned random walk on the integers with bounded local times. Zbl 1390.60361 Sakhanenko, Aleksandr Ivanovich; Foss, Sergeĭ Georgievich 2 2017 Shape theorems for Poisson hail on a bivariate ground. Zbl 1342.60010 Baccelli, François; Chang-Lara, Héctor A.; Foss, Sergey 2 2016 Stability and instability of a random multiple access model with adaptive energy harvesting. Zbl 1345.60122 Foss, Sergey; Kim, Dmitry; Turlikov, Andrey 2 2016 Using species proportions to quantify turnover in biodiversity. Zbl 1347.62235 Yuan, Yuan; Buckland, Stephen T.; Harrison, Phil J.; Foss, Sergey; Johnston, Alison 1 2016 Doubly randomized protocols for a random multiple access channel with “success-nonsuccess” feedback. Zbl 1369.60064 Foss, S. G.; Hajek, B.; Turlikov, A. M. 1 2016 Convolution and convolution-root properties of long-tailed distributions. Zbl 1327.60042 Xu, Hui; Foss, Sergey; Wang, Yuebao 23 2015 Greedy walk on the real line. Zbl 1327.60176 Foss, Sergey; Rolla, Leonardo T.; Sidoravicius, Vladas 7 2015 Long-range last-passage percolation on the line. Zbl 1293.60090 Foss, Sergey; Martin, James B.; Schmidt, Philipp 9 2014 Random fluid limit of an overloaded polling model. Zbl 1292.60093 Remerova, Maria; Foss, Sergey; Zwart, Bert 5 2014 Two-node fluid network with a heavy-tailed random input: the strong stability case. Zbl 1317.60120 Foss, Sergey; Miyazawa, Masakiyo 4 2014 On exceedance times for some processes with dependent increments. Zbl 1296.60120 Asmussen, Søren; Foss, Sergey 4 2014 Random multiple access with common energy harvesting mechanism. Zbl 1329.60312 Kim, D. K.; Turlikov, A. M.; Foss, S. G. 2 2014 An introduction to heavy-tailed and subexponential distributions. 2nd updated ed. Zbl 1274.62005 Foss, Sergey; Korshunov, Dmitry; Zachary, Stan 141 2013 Stochastic sequences with a regenerative structure that may depend both on the future and on the past. Zbl 1293.60083 Foss, Sergey; Zachary, Stan 6 2013 A polling system whose stability region depends on the whole distribution of service times. Zbl 1262.90044 Chernova, Natalia; Foss, Sergey; Kim, Bara 4 2013 On large delays in multi-server queues with heavy tails. Zbl 1242.90062 Foss, Sergey; Korshunov, Dmitry 17 2012 Limit theorems for a random directed slab graph. Zbl 1241.05132 Denisov, D.; Foss, S.; Konstantopoulos, T. 12 2012 Stability of a Markov-modulated Markov chain, with application to a wireless network governed by two protocols. Zbl 1292.93139 Foss, Sergey; Shneer, Seva; Turlikov, Andrey 4 2012 Fluid limits for an ALOHA-type model with impatient customers. Zbl 1275.60076 Frolkova, Maria; Foss, Sergey; Zwart, Bert 2 2012 On the stability of a polling system with an adaptive service mechanism. Zbl 1259.90019 Chernova, Natalia; Foss, Sergey; Kim, Bara 1 2012 An introduction to heavy-tailed and subexponential distributions. 1st ed. Zbl 1250.62025 Foss, Sergey; Korshunov, Dmitry; Zachary, Stan 148 2011 Stability and performance of greedy server systems. Zbl 1275.60085 Rojas-Nandayapa, Leonardo; Foss, Sergey; Kroese, Dirk P. 10 2011 Poisson hail on a hot ground. Zbl 1230.60097 Baccelli, Francois; Foss, Sergey 6 2011 On the greedy walk problem. Zbl 1275.60048 Bordenave, Charles; Foss, Sergey; Last, Günter 6 2011 On the limit law of a random walk conditioned to reach a high level. Zbl 1225.60076 Foss, Sergey G.; Puhalskii, Anatolii A. 4 2011 Asymptotics of randomly stopped sums in the presence of heavy tails. Zbl 1208.60041 Denisov, Denis; Foss, Serguei; Korshunov, Dmitry 37 2010 On sums of conditionally independent subexponential random variables. Zbl 1226.60066 Foss, Serguei; Richards, Andrew 28 2010 On ergodic algorithms in random multiple access systems with “success-failure” feedback. Zbl 1237.94006 Turlikov, A. M.; Foss, S. G. 2 2010 Convolutions of long-tailed and subexponential distributions. Zbl 1178.60011 Foss, Sergey; Korshunov, Dmitry; Zachary, Stan 17 2009 A random multiple-access protocol with spatial interactions. Zbl 1187.60071 Bordenave, Charles; Foss, Serguei; Shneer, Vsevolod 4 2009 Proxy caching in split TCP: dynamics, stability and tail asymptotics. Zbl 1184.68017 Baccelli, François; Carofiglio, Giovanna; Foss, Serguei 1 2009 On lower limits and equivalences for distribution tails of randomly stopped sums. Zbl 1157.60315 Denisov, Denis; Foss, Serguei; Korshunov, Dmitry 11 2008 Lower limits for distribution tails of randomly stopped sums. Zbl 1166.60026 Denisov, D. E.; Korshunov, D. A.; Foss, S. G. 5 2008 Lower limits and equivalences for convolution tails. Zbl 1129.60014 Foss, Serguei; Korshunov, Dmitry 31 2007 Discrete and continuous time modulated random walks with heavy-tailed increments. Zbl 1131.60040 Foss, Serguei; Konstantopoulos, Takis; Zachary, Stan 29 2007 On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times. Zbl 1166.60056 Foss, S. G. 5 2007 Heavy tails in multi-server queue. Zbl 1091.60029 Foss, Serguei; Korshunov, Dmitry 23 2006 On the exact distributional asymptotics for the supremum of a random walk with increments in a class of light-tailed distribution. Zbl 1150.60380 Zachary, Stan; Foss, S. G. 9 2006 The probability of exceeding a high boundary on a random time interval for a heavy-tailed random walk. Zbl 1083.60036 Foss, Serguei; Palmowski, Zbigniew; Zachary, Stan 19 2005 Tails in generalized Jackson networks with subexponential service-time distributions. Zbl 1077.60067 Baccelli, François; Foss, Serguei; Lelarge, Marc 11 2005 On the stability of a queueing system with uncountably branching fluid limits. Zbl 1101.90019 Kovalevskiĭ, A. P.; Topchiĭ, V. A.; Foss, S. G. 4 2005 An overview of some stochastic stability methods. Zbl 1134.93412 Foss, Serguei; Konstantopoulos, Takis 46 2004 Tail asymptotics for the supremum of a random walk when the mean is not finite. Zbl 1056.90028 Denisov, Denis; Foss, Serguei; Korshunov, Dima 37 2004 Moments and tails in monotone-separable stochastic networks. Zbl 1048.60067 Baccelli, François; Foss, Serguei 28 2004 Waiting time asymptotics in the single server queue with service in random order. Zbl 1056.90027 Boxma, O. J.; Foss, S. G.; Lasgouttes, J.-M.; Núñez Queija, R. 14 2004 Asymptotics of subexponential max plus networks: the stochastic event graph case. Zbl 1061.90028 Baccelli, François; Lelarge, Marc; Foss, Serguei 11 2004 On the existence of moments for the busy period in a single-server queue. Zbl 1082.60082 Foss, S.; Sapozhnikov, A. 5 2004 Asymptotics for sums of random variables with local subexponential behaviour. Zbl 1033.60053 Asmussen, Søren; Foss, Serguei; Korshunov, Dmitry 72 2003 The maximum on a random time interval of a random walk with long-tailed increments and negative drift. Zbl 1045.60039 Foss, Serguei; Zachary, Stan 51 2003 Extended renovation theory and limit theorems for stochastic ordered graphs. Zbl 1043.60025 Foss, S.; Konstantopoulos, T. 19 2003 Asymptotics for the maximum of a modulated random walk with heavy-tailed increments. Zbl 1021.60054 Foss, S.; Zachary, S. 7 2002 On optimality of the FCFS discipline in multiserver queueing systems and networks. Zbl 1074.60508 Foss, S. G.; Chernova, N. I. 11 2001 On transience conditions for Markov chains. Zbl 1074.60505 Foss, S. G.; Denisov, D. Eh. 5 2001 Aleksandr Alekseevich Borovkov (on his 70th birthday). Zbl 1052.01518 Borisov, I. S.; Ibragimov, I. A.; Lotov, V. I.; Mogul’skij, A. A.; Prokhorov, Yu. V.; Foss, S. G. 1 2001 Sampling at a random time with a heavy-tailed distribution. Zbl 0977.60091 Foss, S.; Korshunov, D. 18 2000 A stability criterion via fluid limits and its application to a polling system. Zbl 0945.90013 Foss, Serguei; Kovalevskij, Artyom 17 1999 Estimates for overshooting an arbitrary boundary by a random walk and their applications. Zbl 0969.60074 Borovkov, A. A.; Foss, S. G. 11 1999 Perfect simulation and backward coupling. Zbl 0934.60088 Foss, S. G.; Tweedie, R. L. 36 1998 On the stability of a partially accessible multi-station queue with state-dependent routing. Zbl 0915.60089 Foss, Serguei; Chernova, Natalia 35 1998 On the stability of greedy polling systems with general service policies. Zbl 0962.60099 Foss, Serguei; Last, Günter 13 1998 Simulating the invariant measures of Markov chains using backward coupling at regeneration times. Zbl 0956.65004 Foss, S. G.; Tweedie, R. L.; Corcoran, J. N. 10 1998 Performance bounds and pathwise stability for generalized vacation and polling systems. Zbl 0987.90019 Altman, Eitan; Foss, Serguei; Riehl, Eric; Stidham, Shaler jun. 5 1998 Polling on a space with general arrival and service time distribution. Zbl 0879.90094 Altman, Eitan; Foss, Serguei 10 1997 Stability of polling systems with exhaustive service policies and state-dependent routing. Zbl 0863.60091 Foss, Serguei; Last, Günter 18 1996 On a Voronoi aggregative process related to a bivariate Poisson process. Zbl 0867.60004 Foss, S. G.; Zuyev, S. A. 11 1996 Comparison theorems and ergodic properties of polling systems. Zbl 1038.60502 Foss, S. G.; Chernova, N. I. 8 1996 Stationary ergodic Jackson networks: Results and counter-examples. Zbl 0856.60090 Baccelli, François; Foss, Serguei; Mairesse, Jean 7 1996 Free-choice Petri nets – an algebraic approach. Zbl 1041.93500 Baccelli, François; Foss, Serguei; Gaujal, Bruno 4 1996 On polling systems with infinitely many stations. Zbl 0882.60089 Foss, S. G.; Chernova, N. I. 4 1996 Stability of multiclass Jackson-type networks. Zbl 0902.60081 Foss, S. G.; Rybko, A. N. 3 1996 On the saturation rule for the stability of queues. Zbl 0823.60092 Baccelli, François; Foss, Serguei 20 1995 Ergodicity of Jackson-type queueing networks. Zbl 0826.60081 Baccelli, François; Foss, Serguei 19 1994 Two ergodicity criteria for stochastically recursive sequences. Zbl 0810.60029 Borovkov, A.; Foss, S. G. 14 1994 Stochastically recursive sequences and their generalizations. Zbl 0848.60025 Borovkov, A. A.; Foss, S. G. 31 1993 Renovation, regeneration, and coupling in multiple-server queues in continuous time. Zbl 0814.60087 Asmussen, S.; Foss, S. G. 5 1993 On the ergodicity conditions for stochastically recursive sequences. Zbl 0828.60024 Foss, S. G. 4 1992 Regeneration and renovation in queues. Zbl 0728.60090 Foss, S. G.; Kalashnikov, V. V. 14 1991 Ergodicity of queueing networks. Zbl 0758.60098 Foss, S. G. 12 1991 Ergodicity of partially accessible multichannel communication systems. Zbl 0741.94011 Foss, S. G.; Chernova, N. I. 1 1991 Some properties of open queueing networks. Zbl 0689.90033 Foss, S. G. 3 1989 Some properties of open queueing networks. Zbl 0708.90031 Foss, S. G. 1 1989 Queues with customers of several types. Zbl 0539.90028 Foss, S. G. 5 1984 On ergodicity conditions in multichannel queueing systems with expectation. Zbl 0536.60091 Foss, S. G. 11 1983 Conditions for ergodicity in queues with many servers and waiting. Zbl 0559.60076 Foss, S. G. 1 1983 Comparison of servicing strategies in multichannel queueing systems. Zbl 0479.60091 Foss, S. G. 13 1981 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 900 Authors 63 Foss, Sergey G. 33 Wang, Yuebao 27 Zwart, Bert P. 26 Yang, Yang 23 Šiaulys, Jonas 23 Wang, Kaiyong 19 Korshunov, Dmitriĭ Alekseevich 19 Palmowski, Zbigniew 16 Blanchet, Jose H. 15 Cheng, Dongya 15 Hashorva, Enkelejd 15 Tang, Qihe 14 Gao, Qingwu 14 Leipus, Remigijus 14 Shneer, Vsevolod Vladislavovich 14 Wang, Shijie 13 Asmussen, Søren 12 Borst, Sem C. 12 Denisov, Denis E. 12 Yu, Changjun 11 Geng, Bingzhen 11 Menshikov, Mikhail V. 10 Watanabe, Toshiro 9 Konstantopoulos, Takis 9 Liu, Jingchen 9 Liu, Xijun 9 Stufler, Benedikt 9 Weiss, Gideon 9 Xu, Hui 8 Cheng, Fengyang 8 Cui, Zhaolei 8 Lelarge, Marc 8 Moyal, Pascal 8 Rhee, Chang-Han 8 Yuen, Kam Chuen 7 Chen, Yiqing 7 Corcoran, Jem N. 7 Dębicki, Krzysztof 7 Li, Jinzhu 7 Lin, Jianxi 7 Masuyama, Hiroyuki 7 Wade, Andrew R. 6 Baccelli, François Louis 6 Boxma, Onno Johan 6 Liu, Zaiming 6 Macphee, Iain M. 6 Mandjes, Michel Robertus Hendrikus 6 Miyazawa, Masakiyo 6 Nazarathy, Yoni 6 Nazarov, Sergeĭ Aleksandrovich 6 Ramassamy, Sanjay 6 Stolyar, Alexander L. 6 Vesilo, Rein 5 Adan, Ivo J. B. F. 5 Afanas’eva, Larisa Grigor’evna 5 Bloznelis, Mindaugas 5 Bramson, Maury D. 5 Chebunin, Mikhail Georgievich 5 Glynn, Peter W. 5 Jonckheere, Matthieu 5 Kevei, Péter 5 Kim, Bara 5 Mallein, Bastien 5 Maller, Ross Arthur 5 Morozov, Evsei 5 Omey, Edward 5 Rojas-Nandayapa, Leonardo 5 Scheller-Wolf, Alan 5 Tweedie, Richard Lewis 5 Wachtel, Vitali I. 4 Basrak, Bojan 4 Borovkov, Aleksandr Alekseevich 4 Calka, Pierre 4 Danilenko, Svetlana 4 Dieker, A. B. 4 Doney, Ronald Arthur 4 Dyszewski, Piotr 4 Kapodistria, Stella 4 Kortschak, Dominik 4 Lehtomaa, Jaakko 4 Liu, Yuanyuan 4 Mairesse, Jean 4 Mikosch, Thomas 4 Ng, Kai Wang 4 Olvera-Cravioto, Mariana 4 Pakes, Anthony G. 4 Petritis, Dimitri 4 Popov, Serguei Yu. 4 Tsitsiklis, John N. 4 van Leeuwaarden, Johan S. H. 4 Vlasiou, Maria 4 Wang, Xinzhi 4 Xu, Gongjun 4 Zachary, Stan 4 Zamparo, Marco 4 Zhang, Zhimin 4 Zhao, Yiqiang Q. 3 Albrecher, Hansjörg 3 Atar, Rami 3 Ayesta, Urtzi ...and 800 more Authors all top 5 Cited in 172 Serials 107 Queueing Systems 48 Journal of Applied Probability 39 Advances in Applied Probability 37 The Annals of Applied Probability 32 Statistics & Probability Letters 27 Stochastic Processes and their Applications 25 Communications in Statistics. 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