Electronic Resource
Further developments in fractals and related fields: mathematical foundations and connections
This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications.
The chapters cover fields related to fractals such as:
*geometric measure theory
*ergodic theory
*dynamical systems
*harmonic and functional analysis
*number theory
*probability theory
Further Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.
Volume ini, mengikuti tradisi publikasi serupa tahun 2010 oleh editor yang sama, merupakan hasil dari konferensi internasional, “Fractals and Related Fields II,” yang diadakan pada bulan Juni 2011. Buku ini memberikan pembaca gambaran umum tentang perkembangan di bidang matematika yang terkait dengan fraktal, termasuk kontribusi penelitian asli serta survei dari banyak pakar terkemuka tentang teori dan aplikasi fraktal modern.
Bab-bab tersebut mencakup bidang-bidang yang terkait dengan fraktal seperti:
*teori ukuran geometris
*teori ergodis
*sistem dinamis
*analisis harmonik dan fungsional
*teori bilangan
*teori probabilitas
Further Developments in Fractals and Related Fields ditujukan untuk matematikawan murni dan terapan yang bekerja di bidang-bidang yang disebutkan di atas serta peneliti lain yang tertarik untuk menemukan domain fraktal. Di seluruh volume, pembaca akan menemukan hasil yang menarik dan memotivasi serta jalan baru untuk penelitian lebih lanjut.
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