biaccessibility in quadratic julia sets
thesis
- وزارت علوم، تحقیقات و فناوری - دانشگاه الزهراء - دانشکده علوم پایه
- author ندا فرهختی
- adviser مریم ربیعی مریم ملک پور
- publication year 1389
abstract
در این رساله برای چندجمله ای های درجه ی دوم با مجموعه ی ژولیای همبند موضعی; ثابت خواهیم کرد: اندازه برولین مجموعه نقاط از دو سو دست یافتنی در چندجمله ای های درجه دو برابر با صفر است مگر چندجمله ای چبی شف که برابر با یک است. و برای چندجمله ای های درجه دوم با نقاط ثابت خنثی غیر گویا ثابت خواهیم کرد: 1)هر نقطه ی از دو سو دست یافتنی در حالت زیگل نهایتا به نقطه ی بحرانی و در حالت کرمر به نقطه ثابت کرمر نگاشته می شود. 2) مجموعه نقاط از دو سو دست یافتنی در مجموعه ی ژولیا اندازه برولین صفر دارند. 3)در چندجمله ای های کرمر نقاط بحرانی دست نیافتنی است اگر نقطه ثابت کرمر توسط دورهای کوچک تقریب زده شود.
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full textMy Resources
document type: thesis
وزارت علوم، تحقیقات و فناوری - دانشگاه الزهراء - دانشکده علوم پایه
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