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%PDF-1.5 %���� 4 0 obj << /S /GoTo /D (section.1) >> endobj 7 0 obj (Introduction) endobj 8 0 obj << /S /GoTo /D (section.2) >> endobj 11 0 obj (Definitions, notations, autocorrelation polynomial) endobj 12 0 obj << /S /GoTo /D (section.3) >> endobj 15 0 obj (Lattice paths with forbidden patterns) endobj 16 0 obj << /S /GoTo /D (section.4) >> endobj 19 0 obj (Automaton, adjacency matrix A, and kernel K=det\(I-tA\)) endobj 20 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 23 0 obj (The automaton and its adjacency matrix) endobj 24 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 27 0 obj (Algebraic properties of the kernel: link with the autocorrelation polynomial) endobj 28 0 obj << /S /GoTo /D (subsection.4.3) >> endobj 31 0 obj (Analytic properties of the kernel: Newton polygons and geometry of branches) endobj 32 0 obj << /S /GoTo /D (section.5) >> endobj 35 0 obj (Proofs of the generating functions for walks, bridges, meanders, and excursions) endobj 36 0 obj << /S /GoTo /D (section.6) >> endobj 39 0 obj (Asymptotics of lattice paths avoiding a given pattern) endobj 40 0 obj << /S /GoTo /D (section.7) >> endobj 43 0 obj (Limit law for the number of occurrences of a pattern) endobj 44 0 obj << /S /GoTo /D (section.8) >> endobj 47 0 obj (Examples, pushdown automata) endobj 48 0 obj << /S /GoTo /D (section.9) >> endobj 51 0 obj (Conclusion) endobj 52 0 obj << /S /GoTo /D [53 0 R /Fit] >> endobj 64 0 obj << /Length 3218 /Filter /FlateDecode >> stream xڽZKw۶��Whw�s,���K�&7m�W��E�-Bk�T���,���f ����Z��s�ü�`�����~_���~��L&B�(��_͌� g��N���|���E���]��\h���z{[TYW_�x����y���2�`���]�mZ�(� u�`e2on�<��~^g�������w2E�-���ԳH�I#�� V0�Q(�����7�B�6�D�����X"�~�|�uEViw�&�fK���ݦ�\@g>�Z2��&����DH-lhZ�U9����m����j_-�������_�y��]�C��]�ͺl2L��O� �LJ�F��E�)C��X��xi�[󋶨�*3h� ���U�84�N�Hc3YԼZ*�G�i0+����9G�$"�j�l�⣻U@�e���� "#9$@?q~(���lj�����Q���6œD$ �j ���4��� ٛ�I|N��.@�[�pb�~�aL:��"s����ɲF�����I����(E�c�!iD�F#R����Ki��K��v���v�l���*�m�ݍÎ���� ��ڮ�zX��$lh䛢�klgi�-�E�W��h_y�m ���7|��ѷ�3]OA�dj<�� =˗Q�(IPS=�QO��U�܁�$s[-^��H�I��/30\��龈�[�YN-

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