Principles of random walk. The University Series in Higher Mathematics, 1964. ,
An introduction to probability theory and its applications, 1968. ,
Random walks and electric networks, Carus Mathematical Monographs. Mathematical Association of America, vol.22, 1984. ,
Analysis of random walks, volume 2 of Studies in Probability, Optimization and Statistics, 1992. ,
Random walks, critical phenomena, and triviality in quantum field theory. Texts and Monographs in Physics, 1992. ,
Aspects and applications of the random walk, Random Materials and Processes, 1994. ,
Random walks on infinite graphs and groups, volume 138 of Cambridge Tracts in Mathematics, 2000. ,
Asymptotic analysis of random walks, volume 118 of Encyclopedia of Mathematics and its Applications Heavy-tailed distributions, 2008. ,
Random walk: a modern introduction, volume 123 of Cambridge Studies in Advanced Mathematics, 2010. ,
Random walks and diffusions on graphs and databases, 2011. ,
DOI : 10.1007/978-3-642-19592-1
???ber eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Stra???ennetz, Mathematische Annalen, vol.52, issue.1-2, pp.149-160, 1921. ,
DOI : 10.1007/BF01458701
Lattice path combinatorics with statistical applications, of Mathematical Expositions, 1979. ,
Lattice path counting and applications, 1979. ,
Sur une classe de problèmes de dénombrement liés au treillis des partitions des entiers, Cahiers du B.U.R.O, vol.6, pp.5-105, 1965. ,
Random walks on the positive quadrant, Thesis (Ph.D.)? University of Rochester, 1978. ,
Chemins sous-diagonaux et tableaux de Young, Combinatoire énumérative, pp.112-125, 1985. ,
DOI : 10.4153/CJM-1962-032-x
Random walk in a Weyl chamber, Proc. Amer, pp.27-31, 1992. ,
Random walks in the quarter-plane Algebraic methods, boundary value problems and applications, Applications of Mathematics, vol.40, 1999. ,
Counting Walks in the Quarter Plane, Mathematics and computer science, II (Versailles Trends Math, pp.49-67, 2002. ,
DOI : 10.1007/978-3-0348-8211-8_3
Walks confined in a quadrant are not always D-finite, Theoretical Computer Science, vol.307, issue.2, pp.257-276, 2003. ,
DOI : 10.1016/S0304-3975(03)00219-6
Walks in the quarter plane: Kreweras??? algebraic model, The Annals of Applied Probability, vol.15, issue.2, pp.1451-1491, 2005. ,
DOI : 10.1214/105051605000000052
Classifying lattice walks in the quarter plane, Proceedings of FPSAC'07, 2007. ,
Automatic classification of restricted lattice walks, DMTCS Proceedings of the 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'09), pp.203-217, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00780428
Proof of Ira Gessel's lattice path conjecture, Proc. Natl. Acad. Sci. USA, pp.11502-11505, 2009. ,
DOI : 10.1073/pnas.0901678106
Classifying lattice walks restricted to the quarter plane, Journal of Combinatorial Theory, Series A, vol.116, issue.2, pp.460-477, 2009. ,
DOI : 10.1016/j.jcta.2008.06.011
Two non-holonomic lattice walks in the quarter plane, Theoretical Computer Science, vol.410, issue.38-40, pp.38-403616, 2009. ,
DOI : 10.1016/j.tcs.2009.04.008
The complete generating function for Gessel walks is algebraic, Proceedings of the American Mathematical Society, vol.138, issue.09, pp.3063-3078, 2010. ,
DOI : 10.1090/S0002-9939-2010-10398-2
URL : https://hal.archives-ouvertes.fr/hal-00780429
Walks with small steps in the quarter plane, Algorithmic probability and combinatorics, pp.1-39, 2010. ,
DOI : 10.1090/conm/520/10252
On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane. Markov Process, pp.485-496, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00559676
Random walks in cones, The Annals of Probability, vol.43, issue.3, 2013. ,
DOI : 10.1214/13-AOP867
Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group. Markov Process, pp.619-636, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00572276
Explicit expression for the generating function counting Gessel??s walks, Advances in Applied Mathematics, vol.47, issue.3, pp.414-433, 2011. ,
DOI : 10.1016/j.aam.2010.11.004
On the functions counting walks with small steps in the quarter plane, Publications math??matiques de l'IH??S, vol.14, issue.1, pp.69-114, 2012. ,
DOI : 10.1007/s10240-012-0045-7
URL : https://hal.archives-ouvertes.fr/hal-00628424
Some exact asymptotics in the counting of walks in the quarter plane Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'12, 23rd Intern Discrete Math. Theor. Comput. Sci. Proc., AQ, pp.109-124, 2012. ,
Singularity Analysis Via the Iterated Kernel Method, DMTCS Proceedings of FPSAC'13, pp.481-492, 2013. ,
DOI : 10.1016/S0304-3975(02)00007-5
URL : https://hal.archives-ouvertes.fr/hal-01394160
Explicit differentiably finite generating functions of walks with small steps in the quarter plane, 2013. ,
A human proof of Gessel???s lattice path conjecture, Transactions of the American Mathematical Society, vol.369, issue.2, 2013. ,
DOI : 10.1090/tran/6804
Towards a combinatorial understanding of lattice path asymptotics, 2013. ,
D-finite power series, Journal of Algebra, vol.122, issue.2, pp.353-373, 1989. ,
DOI : 10.1016/0021-8693(89)90222-6
URL : http://doi.org/10.1016/0021-8693(89)90222-6
Analytic combinatorics, 2009. ,
DOI : 10.1017/CBO9780511801655
URL : https://hal.archives-ouvertes.fr/inria-00072739
Basic analytic combinatorics of directed lattice paths, Theoretical Computer Science, vol.281, issue.1-2, pp.37-80, 2002. ,
DOI : 10.1016/S0304-3975(02)00007-5
Unpublished notes, 2008. ,
An introduction to G-functions, Annals of Mathematics Studies, vol.133, 1994. ,
Series Gevrey de Type Arithmetique, I. Theoremes de Purete et de Dualite, The Annals of Mathematics, vol.151, issue.2, pp.705-740, 2000. ,
DOI : 10.2307/121045
G-functions and multisum versus holonomic sequences, Advances in Mathematics, vol.220, issue.6, pp.1945-1955, 2009. ,
DOI : 10.1016/j.aim.2008.11.012
URL : http://doi.org/10.1016/j.aim.2008.11.012
Analytic models and ambiguity of context-free languages, Twelfth international colloquium on automata, languages and programming, pp.283-309, 1985. ,
DOI : 10.1016/0304-3975(87)90011-9
URL : https://hal.archives-ouvertes.fr/inria-00076071
G-functions and geometry, Aspects of Mathematics E13. Friedr. Vieweg & Sohn, 1989. ,
DOI : 10.1007/978-3-663-14108-2
Über einige Anwendungen Diophantischer Approximationen, Abh. Pruess. Akad. Wiss. Phys. Math. Kl, vol.1, pp.41-69, 1929. ,
DOI : 10.1007/978-88-7642-520-2_2
Analytic theory of singular difference equations, Acta Mathematica, vol.60, issue.0, pp.1-89, 1932. ,
DOI : 10.1007/BF02398269
Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point, Acta Mathematica, vol.93, issue.0, pp.27-66, 1955. ,
DOI : 10.1007/BF02392519
Applications of Pad?? approximations to diophantine inequalities in values of G-functions, Number theory, pp.1983-84, 1985. ,
DOI : 10.3792/pjaa.59.281
Nilpotent connections and the monodromy theorem: Applications of a result of turrittin, Publications math??matiques de l'IH??S, vol.93, issue.1, pp.175-232, 1970. ,
DOI : 10.1007/BF02684688
École d'été de probabilités de Saint-Flour VIII-1978, chapter Grandes déviations et applications, Number 774 in Lecture Notes in Mathematics, pp.1-176, 1980. ,
DOI : 10.1007/bfb0089622
Exit times from cones in R n of Brownian motion. Probab. Theory Related Fields, pp.1-29, 1987. ,
Brownian motion in cones. Probab. Theory Related Fields, pp.299-319, 1997. ,
Ideals, varieties, and algorithms, 1997. ,
Rational values of the arccosine function, Cent. Eur. J. Math, vol.4, issue.2, pp.319-322, 2006. ,
Approximate formulas for some functions of prime numbers, Illinois J. Math, vol.6, pp.64-94, 1962. ,
On the magnitude of the coefficients of the cyclotomic polynomial, Bulletin of the American Mathematical Society, vol.42, issue.6, pp.389-392, 1936. ,
DOI : 10.1090/S0002-9904-1936-06309-3