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In this article, we study the notion oí virtually repelling fixed point. We first give a definition and an interpretation of it. We then prove that most proper holomorphic mappings f: U -> V with U contained in V have at least one virtually repelling fixed point.
@article{Buff2003, abstract = {In this article, we study the notion oí virtually repelling fixed point. We first give a definition and an interpretation of it. We then prove that most proper holomorphic mappings f: U -> V with U contained in V have at least one virtually repelling fixed point.}, author = {Buff, Xavier}, journal = {Publicacions Matemàtiques}, keywords = {Sistemas dinámicos; Funciones de variable compleja; Ecuaciones en diferencias; Punto fijo; fixed-point; holomorphic index; rational-like mapping; Herman ring}, language = {eng}, number = {1}, pages = {195-209}, title = {Virtually repelling fixed point.}, url = {http://eudml.org/doc/41482}, volume = {47}, year = {2003}, }
TY - JOUR AU - Buff, Xavier TI - Virtually repelling fixed point. JO - Publicacions Matemàtiques PY - 2003 VL - 47 IS - 1 SP - 195 EP - 209 AB - In this article, we study the notion oí virtually repelling fixed point. We first give a definition and an interpretation of it. We then prove that most proper holomorphic mappings f: U -> V with U contained in V have at least one virtually repelling fixed point. LA - eng KW - Sistemas dinámicos; Funciones de variable compleja; Ecuaciones en diferencias; Punto fijo; fixed-point; holomorphic index; rational-like mapping; Herman ring UR - http://eudml.org/doc/41482 ER -