TY - BOOK ID - 8134916 TI - Further developments in fractals and related fields : mathematical foundations and connections AU - Barral, Julien AU - Seuret, Stephane PY - 2013 SN - 0817683992 081768400X 1299336108 PB - New York : Birkhauser, DB - UniCat KW - Fractals. KW - Fractals KW - Mathematics KW - Physical Sciences & Mathematics KW - Geometry KW - Fractal geometry KW - Fractal sets KW - Geometry, Fractal KW - Sets, Fractal KW - Sets of fractional dimension KW - Mathematics. KW - Harmonic analysis. KW - Dynamics. KW - Ergodic theory. KW - Functional analysis. KW - Partial differential equations. KW - Geometry. KW - Probabilities. KW - Abstract Harmonic Analysis. KW - Functional Analysis. KW - Partial Differential Equations. KW - Dynamical Systems and Ergodic Theory. KW - Probability Theory and Stochastic Processes. KW - Dimension theory (Topology) KW - Differential equations, partial. KW - Differentiable dynamical systems. KW - Distribution (Probability theory. KW - Distribution functions KW - Frequency distribution KW - Characteristic functions KW - Probabilities KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Differential equations KW - Global analysis (Mathematics) KW - Topological dynamics KW - Partial differential equations KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations KW - Analysis (Mathematics) KW - Functions, Potential KW - Potential functions KW - Banach algebras KW - Calculus KW - Mathematical analysis KW - Bessel functions KW - Fourier series KW - Harmonic functions KW - Time-series analysis KW - Euclid's Elements KW - Dynamical systems KW - Kinetics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Physics KW - Statics KW - Probability KW - Statistical inference KW - Combinations KW - Chance KW - Least squares KW - Mathematical statistics KW - Risk KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) UR - https://www.unicat.be/uniCat?func=search&query=sysid:8134916 AB - 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. ER -