國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Fractal geometry and stochastics V

(1998 :)

Fractal geometry and stochastics V

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fractal geometry and stochastics Vedited by Christoph Bandt, Kenneth Falconer, Martina Zahle.
其他作者:	Bandt, Christoph.
團體作者:
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	x, 340 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	FractalsCongresses.
電子資源:	http://dx.doi.org/10.1007/978-3-319-18660-3
ISBN:	9783319186603 (electronic bk.)

Fractal geometry and stochastics V
Fractal geometry and stochastics V[electronic resource] /edited by Christoph Bandt, Kenneth Falconer, Martina Zahle. - Cham :Springer International Publishing :2015. - x, 340 p. :ill. (some col.), digital ;24 cm. - Progress in probability,v.701050-6977 ;. - Progress in probability ;43..

Preface -- Introduction -- Part 1: Geometric Measure Theory -- Sixty Years of Fractal Projections -- Scenery flow, conical densities, and rectifiability -- The Shape of Anisotropic Fractals: Scaling of Minkowski Functionals -- Projections of self-similar and related fractals: a survey of recent developments -- Part 2: Self-similar Fractals and Recurrent Structures -- Dimension of the graphs of the Weierstrass-type functions -- Tiling Z2 by a set of four elements -- Some recent developments in quantization of fractal measures -- Apollonian Circle Packings -- Entropy of Lyapunov-optimizing measures of some matrix cocycles -- Part 3: Analysis and Algebra on Fractals -- Poincare functional equations, harmonic measures on Julia sets, and fractal zeta functions -- From self-similar groups to self-similar sets and spectra -- Finite energy coordinates and vector analysis on fractals -- Fractal zeta functions and complex dimensions: A general higher-dimensional theory -- Part 4: Multifractal Theory -- Inverse problems in multifractal analysis -- Multifractal analysis based on p-exponents and lacunarity exponents -- Part 5: Random Constructions -- Dimensions of Random Covering Sets -- Expected lifetime and capacity.

This book brings together leading contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five sections covering different facets of this fast developing area: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. There are state-of-the-art surveys as well as papers highlighting more specific recent advances. The authors are world-experts who present their topics comprehensibly and attractively. The book provides an accessible gateway to the subject for newcomers as well as a reference for recent developments for specialists. Authors include: Krzysztof Baranski, Julien Barral, Kenneth Falconer, De-Jun Feng, Peter J. Grabner, Rostislav Grigorchuk, Michael Hinz, Stephane Jaffard, Maarit Jarvenpaa, Antti Kaenmaki, Marc Kessebohmer, Michel Lapidus, Klaus Mecke, Mark Pollicott, Michal Rams, Pablo Shmerkin, and Andras Telcs.

ISBN: 9783319186603 (electronic bk.)

Standard No.: 10.1007/978-3-319-18660-3doiSubjects--Topical Terms:

467085
Fractals
--Congresses.

LC Class. No.: QA614.86

Dewey Class. No.: 514.742

Fractal geometry and stochastics V
LDR:03297nmm a2200337 a 4500 001 472794
003 DE-He213
005 20160223134218.0
006 m d
007 cr nn 008maaau
008 160316s2015 gw s 0 eng d
020 $a 9783319186603 (electronic bk.)
020 $a 9783319186597 (paper)
024 7 $a 10.1007/978-3-319-18660-3 $2 doi
035 $a 978-3-319-18660-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA614.86
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 514.742 $2 23
090 $a QA614.86 $b .C748 2014
111 2 $n (3rd : $d 1998 : $c Amsterdam, Netherlands) $3 194767
245 1 0 $a Fractal geometry and stochastics V $h [electronic resource] / $c edited by Christoph Bandt, Kenneth Falconer, Martina Zahle.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a x, 340 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Progress in probability, $x 1050-6977 ; $v v.70
505 0 $a Preface -- Introduction -- Part 1: Geometric Measure Theory -- Sixty Years of Fractal Projections -- Scenery flow, conical densities, and rectifiability -- The Shape of Anisotropic Fractals: Scaling of Minkowski Functionals -- Projections of self-similar and related fractals: a survey of recent developments -- Part 2: Self-similar Fractals and Recurrent Structures -- Dimension of the graphs of the Weierstrass-type functions -- Tiling Z2 by a set of four elements -- Some recent developments in quantization of fractal measures -- Apollonian Circle Packings -- Entropy of Lyapunov-optimizing measures of some matrix cocycles -- Part 3: Analysis and Algebra on Fractals -- Poincare functional equations, harmonic measures on Julia sets, and fractal zeta functions -- From self-similar groups to self-similar sets and spectra -- Finite energy coordinates and vector analysis on fractals -- Fractal zeta functions and complex dimensions: A general higher-dimensional theory -- Part 4: Multifractal Theory -- Inverse problems in multifractal analysis -- Multifractal analysis based on p-exponents and lacunarity exponents -- Part 5: Random Constructions -- Dimensions of Random Covering Sets -- Expected lifetime and capacity.
520 $a This book brings together leading contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five sections covering different facets of this fast developing area: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. There are state-of-the-art surveys as well as papers highlighting more specific recent advances. The authors are world-experts who present their topics comprehensibly and attractively. The book provides an accessible gateway to the subject for newcomers as well as a reference for recent developments for specialists. Authors include: Krzysztof Baranski, Julien Barral, Kenneth Falconer, De-Jun Feng, Peter J. Grabner, Rostislav Grigorchuk, Michael Hinz, Stephane Jaffard, Maarit Jarvenpaa, Antti Kaenmaki, Marc Kessebohmer, Michel Lapidus, Klaus Mecke, Mark Pollicott, Michal Rams, Pablo Shmerkin, and Andras Telcs.
650 0 $a Fractals $v Congresses. $3 467085
650 0 $a Stochastic processes $3 281628
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Geometry. $3 183883
650 2 4 $a Measure and Integration. $3 273777
700 1 $a Bandt, Christoph. $3 387254
700 1 $a Falconer, Kenneth. $3 728089
700 1 $a Zahle, Martina. $3 387255
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Progress in probability ; $v 43. $3 439056
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-18660-3
950 $a Mathematics and Statistics (Springer-11649)