, NON-BACKTRACKING RANDOM WALKS MIX FASTER, Communications in Contemporary Mathematics, vol.09, issue.04, pp.585-603, 2007.
DOI : 10.1142/S0219199707002551
, Quantum ergodicity on large regular graphs. Duke Math, J, vol.164, issue.4, pp.723-765, 2015.
DOI : 10.1215/00127094-2881592
URL : https://hal.archives-ouvertes.fr/hal-00813596
, Poisson kernel expansions for schrödinger operators on trees, 2016.
, Counting paths in graphs, Enseign. Math, vol.45, issue.212, pp.83-131, 1999.
, THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE, International Journal of Mathematics, vol.03, issue.06, pp.717-797, 1992.
DOI : 10.1142/S0129167X92000357
, A new proof of friedman's second eigenvalue theorem and its extension to random lifts. preprint, 2015.
, Non-backtracking Spectrum of Random Graphs: Community Detection and Non-regular Ramanujan Graphs, 2015 IEEE 56th Annual Symposium on Foundations of Computer Science, pp.1347-1357, 2015.
DOI : 10.1109/FOCS.2015.86
URL : https://hal.archives-ouvertes.fr/hal-01226796
, Combinatorial Laplacians and isoperimetric inequality In From local times to global geometry, control and physics (Coventry, Pitman Res. Notes Math. Ser. Longman Sci. Tech, vol.150, issue.85, pp.68-74, 1984.
, Difference equations, isoperimetric inequality and transience of certain random walks, Transactions of the American Mathematical Society, vol.284, issue.2, pp.787-794, 1984.
DOI : 10.1090/S0002-9947-1984-0743744-X
, A proof of Alon???s second eigenvalue conjecture and related problems, Memoirs of the American Mathematical Society, vol.195, issue.910, p.100, 2008.
DOI : 10.1090/memo/0910
, Zeta functions of finite graphs and representations of p-adic groups. In Automorphic forms and geometry of arithmetic varieties, Adv. Stud. Pure Math, vol.15, pp.211-280, 1989.
, ON ZETA AND L-FUNCTIONS OF FINITE GRAPHS, International Journal of Mathematics, vol.01, issue.04, pp.381-396, 1990.
DOI : 10.1142/S0129167X90000204
, ARTIN TYPE L-FUNCTIONS AND THE DENSITY THEOREM FOR PRIME CYCLES ON FINITE GRAPHS, International Journal of Mathematics, vol.03, issue.06, pp.809-826, 1992.
DOI : 10.1142/S0129167X92000370
, Artin L-functions of finite graphs and their applications, Algebraic combinatorics (Japanese), pp.70-81, 1992.
, Selberg-Ihara's zeta function for p-adic discrete groups. In Automorphic forms and geometry of arithmetic varieties, Adv. Stud. Pure Math, vol.15, pp.171-210, 1989.
DOI : 10.1016/b978-0-12-330580-0.50014-8
, Discrete subgroups of PL(2, k?) In Algebraic Groups and Discontinuous Subgroups, Proc. Sympos. Pure Math. Amer. Math. Soc, pp.272-278, 1965.
, On discrete subgroups of the two by two projective linear group over $\mathfrak{p}$ -adic fields, Journal of the Mathematical Society of Japan, vol.18, issue.3, pp.219-235, 1966.
DOI : 10.2969/jmsj/01830219
, Full Banach Mean Values on Countable groups., MATHEMATICA SCANDINAVICA, vol.7, pp.146-156, 1959.
DOI : 10.7146/math.scand.a-10568
, Zeta functions of finite graphs, J. Math. Sci. Univ. Tokyo, vol.7, issue.1, pp.7-25, 2000.
, Cutoff on all Ramanujan graphs, Geometric and Functional Analysis, vol.10, issue.1, pp.1190-1216, 2016.
DOI : 10.1007/s00039-016-0382-7
URL : http://arxiv.org/abs/1507.04725
, Cogrowth of regular graphs, Proceedings of the American Mathematical Society, vol.116, issue.1, pp.203-205, 1992.
DOI : 10.1090/S0002-9939-1992-1120509-0
, Non-backtracking random walks and cogrowth of graphs. Canad, J. Math, vol.59, issue.4, pp.828-844, 2007.
, Quantum chaos on discrete graphs, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.27, pp.621-630, 2007.
DOI : 10.1088/1751-8113/40/27/F07
URL : http://arxiv.org/abs/0704.3525
, Discrete Graphs ??? A Paradigm Model for Quantum Chaos, pp.1-26, 2010.
DOI : 10.1007/978-3-0348-0697-8_3
, A short proof of the Grigorchuk-Cohen cogrowth theorem, Proc. Amer, pp.663-665, 1989.
DOI : 10.1090/S0002-9939-1989-0975660-2
, Cogrowth of groups and simple random walks, Archiv der Mathematik, vol.7, issue.4, pp.363-370, 1983.
DOI : 10.1007/BF01371408