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Author ID: fayolle.guy Recent zbMATH articles by "Fayolle, Guy"
Published as: Fayolle, Guy; Fayolle, G.; Fayolle, G. J.
External Links: MGP · Wikidata · ResearchGate · dblp
Documents Indexed: 54 Publications since 1974, including 4 Books
2 Contributions as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 35 Co-Authors with 54 Joint Publications
866 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 576 times in 419 Documents Cited by Year
Topics in the constructive theory of countable Markov chains. Zbl 0823.60053
Fayolle, G.; Malyshev, V. A.; Menshikov, M. V.
104
1995
Random walks in the quarter-plane. Algebraic methods, boundary value problems and applications. Zbl 0932.60002
Fayolle, Guy; Iasnogorodski, Roudolf; Malyshev, Vadim
102
1999
Two coupled processors: The reduction to a Riemann-Hilbert problem. Zbl 0395.68032
Fayolle, Guy; Iasnogorodski, Roudolf
90
1979
Sharing a processor among many job classes. Zbl 0475.68012
Fayolle, G.; Mitrani, I.; Iasnogorodski, R.
35
1980
Random walks in the quarter plane. Algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics. 2nd edition, previously published with the subtitle Algebraic methods, boundary value problems and applications. Zbl 1386.60004
Fayolle, Guy; Iasnogorodski, Roudolf; Malyshev, Vadim
24
2017
On a functional equation arising in the analysis of a protocol for a multi-access broadcast channel. Zbl 0625.94001
Fayolle, Guy; Flajolet, Philippe; Hofri, Micha
16
1986
The solution of certain two-dimensional Markov models. Zbl 0495.60087
Fayolle, G.; King, P. J. B.; Mitrani, I.
14
1982
On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane. Zbl 1284.05018
Fayolle, G.; Raschel, K.
14
2010
Stability and optimal control of the packet switching broadcast channel. Zbl 0364.94004
Fayolle, Guy; Gelenbe, Erol; Labetoulle, Jacques
14
1977
Random walks in the quarter-plane with zero drift: an explicit criterion for the finiteness of the associated group. Zbl 1263.60039
Fayolle, G.; Raschel, K.
13
2011
Topics in the constructive theory of countable Markov chains. Reprint of the 1995 hardback ed. Zbl 1139.60035
Fayolle, G.; Malyshev, V. A.; Menshikov, M. V.
13
2008
Analysis of a stack algorithm for random multiple-access communication. Zbl 0562.94003
Fayolle, Guy; Flajolet, Philippe; Hofri, Micha; Jacquet, Philippe
12
1985
Entropy and large deviations for discrete-time Markov chains. Zbl 1028.60066
Fayolle, G.; de La Fortelle, A.
11
2002
Some exact asymptotics in the counting of walks in the quarter plane. Zbl 1296.60111
Fayolle, Guy; Raschel, Kilian
9
2012
Stochastic dynamics of discrete curves and multi-type exclusion processes. Zbl 1126.82022
Fayolle, Guy; Furtlehner, Cyril
9
2007
Random walks in a quarter plane with zero drifts. I: Ergodicity and null recurrence. Zbl 0747.60064
Fayolle, G.; Malyshev, V. A.; Menshikov, M. V.
8
1992
Stochastic deformations of sample paths of random walks and exclusion models. Zbl 1064.60165
Fayolle, Guy; Furtlehner, Cyril
6
2004
Analysis of models reducible to a class of diffusion processes in the positive quarter plane. Zbl 0634.60085
Baccelli, François; Fayolle, Guy
6
1987
On random walks arising in queueing systems: Ergodicity and transience via quadratic forms as Lyapounov functions. I. Zbl 0687.60083
Fayolle, Guy
6
1989
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps. (Autour d’une approche analytique pour les marches à sauts arbitrairement grands dans le quart de plan.) Zbl 1319.60090
Fayolle, Guy; Raschel, Kilian
6
2015
Sojourn times in a tandem queue with overtaking: Reduction to a boundary value problem. Zbl 0595.60091
Coffman, E. G. jun.; Fayolle, G.; Mitrani, I.
5
1986
Dynamical windings of random walks and exclusion models. I: Thermodynamic limit in \(\mathbb Z^2\). Zbl 1060.82021
Fayolle, Guy; Furtlehner, Cyril
5
2004
The stability problem of broadcast packet switching computer networks. Zbl 0328.68067
Fayolle, G.; Gelenbe, E.; Labetoulle, J.; Bastin, D.
5
1974
Thermodynamical limit and propagation of chaos in polling systems. Zbl 0920.60072
Delcoigne, F.; Fayolle, G.
5
1999
Random walks in two-dimensional complexes. Zbl 0727.60076
Fayolle, G.; Ignatyuk, I. A.; Malyshev, V. A.; Menshikov, M. V.
4
1991
On the almost sure central limit theorem for vector martingales: Convergence of moments and statistical applications. Zbl 1175.60009
Bercu, Bernard; Cénac, Peggy; Fayolle, Guy
3
2009
Lyapounov functions for Jackson networks. Zbl 0789.60078
Fayolle, G.; Malyshev, V. A.; Menshikov, M. V.; Sidorenko, A. F.
3
1993
Models for transportation networks. Zbl 0907.90124
Afanassieva, L. G.; Fayolle, G.; Popov, S. Yu.
3
1997
Asymptotics and scalings for large product-form networks via the central limit theorem. Zbl 0902.60080
Fayolle, G.; Lasgouttes, J.-M.
3
1996
A state-dependent polling model with Markovian routing. Zbl 0829.60080
Fayolle, Guy; Lasgouttes, Jean-Marc
3
1995
Random walks in a quarter plane with zero drifts: Transience and recurrence. Zbl 0842.60071
Asymont, I. M.; Fayolle, G.; Menshikov, M. V.
3
1995
Solutions of functional equations arising in the analysis of two server queueing models. Zbl 0419.60090
Fayolle, G.; Iasnogorodski, R.
2
1979
Criteria for the non-ergodicity of stochastic processes: Application to the exponential back-off protocol. Zbl 0625.60076
Fayolle, Guy; Iasnogorodski, Rudolph
2
1987
Modelling and performance evaluation methodology. Proceedings of the International Seminar, Paris, France, January 24-26, 1983. (INRIA). Zbl 0539.00025
2
1984
Growth rate and ergodicity conditions for a class of random trees. Zbl 1030.05106
Fayolle, Guy; Krikun, Maxim
2
2002
Largest-first sequential selection with a sum constraint. Zbl 0716.90060
Coffman, E. G. jun.; Fayolle, G.; Jacquet, P.; Robert, P.
2
1990
On polling systems where servers wait for customers. Zbl 0911.60075
Afanassieva, L. G.; Delcoigne, F.; Fayolle, G.
2
1997
Loss networks in thermodynamic limit. Zbl 0815.60087
Botvich, Dimitri; Fayolle, Guy; Malyshev, Vadim
2
1994
Birth and death processes on certain random trees: classification and stationary laws. Zbl 1043.60072
Fayolle, Guy; Krikun, Maxim; Lasgouttes, Jean-Marc
2
2004
Transient phenomena for Markov chains and applications. Zbl 0761.60063
Borovkov, A. A.; Fayolle, G.; Korshunov, D. A.
1
1992
Queueing theory and its applications. Liber amicorum for J. W. Cohen. Zbl 0657.60114
1
1988
Stochastic chemical kinetics with energy parameters. Zbl 1055.92060
Fayolle, Guy; Malyshev, Vadim; Pirogov, Serguei
1
2004
Optimal queueing policies in multiple-processor computers. Zbl 0359.68066
Fayolle, G.; Robin, M.
1
1977
An analytic evaluation of the performance of the ”send and wait” protocol. Zbl 0373.94025
Fayolle, Guy; Gelenbe, Erol; Pujolle, Guy
1
1978
Random walks in the quarter-plane: advances in explicit criterions for the finiteness of the associated group in the genus 1 case. Zbl 1342.60063
Fayolle, G.; Iasnogorodski, R.
1
2015
Random walks in the quarter plane. Algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics. 2nd edition, previously published with the subtitle Algebraic methods, boundary value problems and applications. Zbl 1386.60004
Fayolle, Guy; Iasnogorodski, Roudolf; Malyshev, Vadim
24
2017
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps. (Autour d’une approche analytique pour les marches à sauts arbitrairement grands dans le quart de plan.) Zbl 1319.60090
Fayolle, Guy; Raschel, Kilian
6
2015
Random walks in the quarter-plane: advances in explicit criterions for the finiteness of the associated group in the genus 1 case. Zbl 1342.60063
Fayolle, G.; Iasnogorodski, R.
1
2015
Some exact asymptotics in the counting of walks in the quarter plane. Zbl 1296.60111
Fayolle, Guy; Raschel, Kilian
9
2012
Random walks in the quarter-plane with zero drift: an explicit criterion for the finiteness of the associated group. Zbl 1263.60039
Fayolle, G.; Raschel, K.
13
2011
On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane. Zbl 1284.05018
Fayolle, G.; Raschel, K.
14
2010
On the almost sure central limit theorem for vector martingales: Convergence of moments and statistical applications. Zbl 1175.60009
Bercu, Bernard; Cénac, Peggy; Fayolle, Guy
3
2009
Topics in the constructive theory of countable Markov chains. Reprint of the 1995 hardback ed. Zbl 1139.60035
Fayolle, G.; Malyshev, V. A.; Menshikov, M. V.
13
2008
Stochastic dynamics of discrete curves and multi-type exclusion processes. Zbl 1126.82022
Fayolle, Guy; Furtlehner, Cyril
9
2007
Stochastic deformations of sample paths of random walks and exclusion models. Zbl 1064.60165
Fayolle, Guy; Furtlehner, Cyril
6
2004
Dynamical windings of random walks and exclusion models. I: Thermodynamic limit in \(\mathbb Z^2\). Zbl 1060.82021
Fayolle, Guy; Furtlehner, Cyril
5
2004
Birth and death processes on certain random trees: classification and stationary laws. Zbl 1043.60072
Fayolle, Guy; Krikun, Maxim; Lasgouttes, Jean-Marc
2
2004
Stochastic chemical kinetics with energy parameters. Zbl 1055.92060
Fayolle, Guy; Malyshev, Vadim; Pirogov, Serguei
1
2004
Entropy and large deviations for discrete-time Markov chains. Zbl 1028.60066
Fayolle, G.; de La Fortelle, A.
11
2002
Growth rate and ergodicity conditions for a class of random trees. Zbl 1030.05106
Fayolle, Guy; Krikun, Maxim
2
2002
Random walks in the quarter-plane. Algebraic methods, boundary value problems and applications. Zbl 0932.60002
Fayolle, Guy; Iasnogorodski, Roudolf; Malyshev, Vadim
102
1999
Thermodynamical limit and propagation of chaos in polling systems. Zbl 0920.60072
Delcoigne, F.; Fayolle, G.
5
1999
Models for transportation networks. Zbl 0907.90124
Afanassieva, L. G.; Fayolle, G.; Popov, S. Yu.
3
1997
On polling systems where servers wait for customers. Zbl 0911.60075
Afanassieva, L. G.; Delcoigne, F.; Fayolle, G.
2
1997
Asymptotics and scalings for large product-form networks via the central limit theorem. Zbl 0902.60080
Fayolle, G.; Lasgouttes, J.-M.
3
1996
Topics in the constructive theory of countable Markov chains. Zbl 0823.60053
Fayolle, G.; Malyshev, V. A.; Menshikov, M. V.
104
1995
A state-dependent polling model with Markovian routing. Zbl 0829.60080
Fayolle, Guy; Lasgouttes, Jean-Marc
3
1995
Random walks in a quarter plane with zero drifts: Transience and recurrence. Zbl 0842.60071
Asymont, I. M.; Fayolle, G.; Menshikov, M. V.
3
1995
Loss networks in thermodynamic limit. Zbl 0815.60087
Botvich, Dimitri; Fayolle, Guy; Malyshev, Vadim
2
1994
Lyapounov functions for Jackson networks. Zbl 0789.60078
Fayolle, G.; Malyshev, V. A.; Menshikov, M. V.; Sidorenko, A. F.
3
1993
Random walks in a quarter plane with zero drifts. I: Ergodicity and null recurrence. Zbl 0747.60064
Fayolle, G.; Malyshev, V. A.; Menshikov, M. V.
8
1992
Transient phenomena for Markov chains and applications. Zbl 0761.60063
Borovkov, A. A.; Fayolle, G.; Korshunov, D. A.
1
1992
Random walks in two-dimensional complexes. Zbl 0727.60076
Fayolle, G.; Ignatyuk, I. A.; Malyshev, V. A.; Menshikov, M. V.
4
1991
Largest-first sequential selection with a sum constraint. Zbl 0716.90060
Coffman, E. G. jun.; Fayolle, G.; Jacquet, P.; Robert, P.
2
1990
On random walks arising in queueing systems: Ergodicity and transience via quadratic forms as Lyapounov functions. I. Zbl 0687.60083
Fayolle, Guy
6
1989
Queueing theory and its applications. Liber amicorum for J. W. Cohen. Zbl 0657.60114
1
1988
Analysis of models reducible to a class of diffusion processes in the positive quarter plane. Zbl 0634.60085
Baccelli, François; Fayolle, Guy
6
1987
Criteria for the non-ergodicity of stochastic processes: Application to the exponential back-off protocol. Zbl 0625.60076
Fayolle, Guy; Iasnogorodski, Rudolph
2
1987
On a functional equation arising in the analysis of a protocol for a multi-access broadcast channel. Zbl 0625.94001
Fayolle, Guy; Flajolet, Philippe; Hofri, Micha
16
1986
Sojourn times in a tandem queue with overtaking: Reduction to a boundary value problem. Zbl 0595.60091
Coffman, E. G. jun.; Fayolle, G.; Mitrani, I.
5
1986
Analysis of a stack algorithm for random multiple-access communication. Zbl 0562.94003
Fayolle, Guy; Flajolet, Philippe; Hofri, Micha; Jacquet, Philippe
12
1985
Modelling and performance evaluation methodology. Proceedings of the International Seminar, Paris, France, January 24-26, 1983. (INRIA). Zbl 0539.00025
2
1984
The solution of certain two-dimensional Markov models. Zbl 0495.60087
Fayolle, G.; King, P. J. B.; Mitrani, I.
14
1982
Sharing a processor among many job classes. Zbl 0475.68012
Fayolle, G.; Mitrani, I.; Iasnogorodski, R.
35
1980
Two coupled processors: The reduction to a Riemann-Hilbert problem. Zbl 0395.68032
Fayolle, Guy; Iasnogorodski, Roudolf
90
1979
Solutions of functional equations arising in the analysis of two server queueing models. Zbl 0419.60090
Fayolle, G.; Iasnogorodski, R.
2
1979
An analytic evaluation of the performance of the ”send and wait” protocol. Zbl 0373.94025
Fayolle, Guy; Gelenbe, Erol; Pujolle, Guy
1
1978
Stability and optimal control of the packet switching broadcast channel. Zbl 0364.94004
Fayolle, Guy; Gelenbe, Erol; Labetoulle, Jacques
14
1977
Optimal queueing policies in multiple-processor computers. Zbl 0359.68066
Fayolle, G.; Robin, M.
1
1977
The stability problem of broadcast packet switching computer networks. Zbl 0328.68067
Fayolle, G.; Gelenbe, E.; Labetoulle, J.; Bastin, D.
5
1974
all top 5

Cited by 507 Authors

23 Menshikov, Mikhail V.
23 Raschel, Kilian
13 Wade, Andrew R.
12 Zhao, Yiqiang Q.
11 Monthus, Cécile
9 Boxma, Onno Johan
9 Knessl, Charles
9 Macphee, Iain M.
9 Morrison, John A.
9 Popov, Serguei Yu.
9 van Leeuwaarden, Johan S. H.
8 Miyazawa, Masakiyo
7 Bousquet-Mélou, Mireille
7 Dimitriou, Ioannis
7 Fayolle, Guy
7 Volkov, Stanislav
6 Borst, Sem C.
6 Guillemin, Fabrice M.
6 He, Qi-Ming
6 Kapodistria, Stella
6 Kurkova, Irina A.
6 Melczer, Stephen
6 Mishna, Marni
5 Bostan, Alin
5 Boucherie, Richard J.
5 Comets, Francis M.
5 Kim, Bara
5 Petritis, Dimitri
4 Adan, Ivo J. B. F.
4 Ayesta, Urtzi
4 Bini, Dario Andrea
4 Chen, Yanting
4 Dreyfus, Thomas
4 El-hady, El-sayed
4 Foss, Sergey G.
4 Franceschi, Sandro
4 Goseling, Jasper
4 Hardouin, Charlotte
4 Iasnogorodski, Roudolf
4 Kauers, Manuel
4 Kobayashi, Masahiro
4 Li, Hui
4 Meini, Beatrice
4 Núñez-Queija, Rudesindo
4 Singer, Michael F.
4 Trotignon, Amélie
4 Vachkovskaia, Marina
4 Verloop, Ina Maria
4 Walraevens, Joris
4 Zwart, Bert P.
3 Avrachenkov, Konstantin Evgen’evich
3 Banderier, Cyril
3 Beaton, Nicholas R.
3 Bruneel, Herwig
3 Chebunin, Mikhail Georgievich
3 Dai, Hongshuai
3 Derrida, Bernard
3 Fiems, Dieter
3 Flajolet, Philippe
3 Fricker, Christine
3 Jonckheere, Matthieu
3 Lian, Zhaotong
3 Machado, Fábio Prates
3 Malyshev, Vadim Aleksandrovich
3 Mandjes, Michel Robertus Hendrikus
3 McDonald, David R.
3 Mustapha, Sami
3 Nain, Philippe
3 Owczarek, Aleksander L.
3 Ozawa, Toshihisa
3 Peres, Yuval
3 Proutière, Alexandre
3 Rechnitzer, Andrew Daniel
3 Resing, Jacques A. C.
3 Robert, Philippe
3 Roques, Julien
3 Shcherbakov, Vadim
3 Song, Yang
3 Szpankowski, Wojciech
3 van der Wal, Jan
3 Wachtel, Vitali I.
3 Yashkov, Sergei Fedorovich
2 Altman, Eitan
2 Aspandiiarov, Sanjar
2 Aurzada, Frank
2 Baccelli, François Louis
2 Badila, E. S.
2 Benjamini, Itai
2 Bertini, Lorenzo Bertini
2 Blanc, Johannes Pieter Cornelis
2 Bodineau, Thierry
2 Bonald, Thomas
2 Brzdęk, Janusz
2 Chyzak, Frédéric
2 Courtiel, Julien
2 De Vuyst, Stijn
2 Delarue, François
2 Dorn, Britta
2 Duraj, Jetlir
2 Foley, Robert D.
...and 407 more Authors
all top 5

Cited in 115 Serials

80 Queueing Systems
17 Journal of Statistical Physics
16 Stochastic Processes and their Applications
16 Probability in the Engineering and Informational Sciences
15 The Annals of Applied Probability
14 Stochastic Models
13 Operations Research Letters
12 Advances in Applied Probability
10 Annals of Operations Research
10 Journal of Statistical Mechanics: Theory and Experiment
7 Journal of Combinatorial Theory. Series A
7 Theoretical Computer Science
6 Acta Informatica
6 The Annals of Probability
6 The Electronic Journal of Combinatorics
5 Journal of Applied Probability
5 Journal of Computational and Applied Mathematics
5 Journal of Theoretical Probability
5 Mathematical Methods of Operations Research
5 Annals of Combinatorics
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Computers & Mathematics with Applications
3 Algorithmica
3 Aequationes Mathematicae
3 Applied Mathematical Modelling
3 Automation and Remote Control
3 European Journal of Operational Research
3 Combinatorics, Probability and Computing
3 Top
3 Bernoulli
3 Journal of the European Mathematical Society (JEMS)
3 Methodology and Computing in Applied Probability
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Biology
2 Moscow University Mathematics Bulletin
2 Problems of Information Transmission
2 Journal of Soviet Mathematics
2 Journal of Statistical Planning and Inference
2 Operations Research
2 Siberian Mathematical Journal
2 Transactions of the American Mathematical Society
2 European Journal of Combinatorics
2 Advances in Applied Mathematics
2 Probability and Mathematical Statistics
2 Probability Theory and Related Fields
2 Discrete Event Dynamic Systems
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
2 Electronic Communications in Probability
2 Séminaire Lotharingien de Combinatoire
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Annales Henri Poincaré
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Physics A: Mathematical and Theoretical
2 Advances in Operations Research
2 Stochastic Systems
1 International Journal of Systems Science
1 Stochastics
1 Mathematics of Computation
1 Advances in Mathematics
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series B
1 Journal of Multivariate Analysis
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Studies in Applied Mathematics
1 Insurance Mathematics & Economics
1 Statistics & Probability Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Revista Matemática Iberoamericana
1 Computers & Operations Research
1 Journal of Economic Dynamics & Control
1 SIAM Journal on Discrete Mathematics
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Parallel and Distributed Computing
1 Neural Networks
1 Journal of Applied Mathematics and Stochastic Analysis
1 Random Structures & Algorithms
1 Discrete Mathematics and Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 ZOR. Zeitschrift für Operations Research
1 Cybernetics and Systems Analysis
1 Potential Analysis
1 SIAM Journal on Scientific Computing
1 Journal of Mathematical Sciences (New York)
1 Filomat
1 Random Operators and Stochastic Equations
1 Selecta Mathematica. New Series
1 Electronic Journal of Probability
1 Doklady Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Journal of Scheduling
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
...and 15 more Serials

Citations by Year

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