國立虎尾科技大學 |

Recent developments in fractals and related fields = conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Recent developments in fractals and related fields/ edited by Julien Barral, Athanasios Batakis, Stéphane Seuret.
其他題名:	conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 /
其他作者:	Seuret, Stéphane.
團體作者:	Workshop on the Preservation of Stability under Discretization
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xiv, 392 p. :ill. (chiefly color), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Abstract Harmonic Analysis. -
電子資源:	https://doi.org/10.1007/978-3-031-80453-3
ISBN:	9783031804533

Recent developments in fractals and related fields = conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 /
Recent developments in fractals and related fieldsconference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 /[electronic resource] :edited by Julien Barral, Athanasios Batakis, Stéphane Seuret. - Cham :Springer Nature Switzerland :2025. - xiv, 392 p. :ill. (chiefly color), digital ;24 cm. - Trends in mathematics,2297-024X. - Trends in mathematics..

Amir Algom and Meng Wu: Large slices through self affine carpets -- Demi Allen and Edouard Daviaud: A survey of recent extensions and generalisations of the Mass Transference Principle -- Peter Arzt and Uta Freiberg: Spectral Exponents of Gap Diffusions on Random Homogeneous Cantor-Sets -- Athanasios Batakis, Nga Nguyen and Michel Zinsmeister: A new Model of City Growth and its Application to a middle sized French City -- Wejdene Ben Nasr, Véronique Billat, Stéphane Jaffard,, Florent Palacin and Guillaume Saës: The weak scaling multifractal spectrum: Mathematical setting and applications to marathon runners physiological data -- Argyrios Christodoulou and Natalia Jurga: Self-projective sets -- Hervé Queffélec and Martine Queffélec: Old and new results on the Furstenberg sets -- Michael Hochman: On the analytic self-maps of Cantor sets in the line -- Xiong Jin: A Chung-Fuchs type theorem for skew product dynamical systems -- Sabrina Kombrink and Lucas Schmidt: Eigenvalue counting functions and parallel volumes for examples of fractal sprays generated by the Koch snowflake -- Eugen Mihailescu: Exact dimensional measures in deterministic and random systems -- Tuomas Sahlsten: Fourier transforms and iterated function systems -- Nicolas de Saxcé: A presentation of the discretized sum-product in division algebras -- Xavier Tolsa: Carleson's ��2 conjecture in higher dimensions and Faber-Krahn inequalities.

This volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals. It includes both original research contributions, as well as surveys from many of the leading experts on modern fractal geometry theory and applications. The contributions contained in the book stem from the conference "Fractals and Related Fields IV", that was held in 2022 on the Island of Porquerolles, France. Various aspects of fractal geometry in connection with harmonic analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, functional analysis, additive combinatorics, embedding theory, and signal and image processing are addressed within its pages. We hope that the book will be interesting for pure and applied mathematicians in these areas, as well as for other researchers curious to discover more about fractals.

ISBN: 9783031804533

Standard No.: 10.1007/978-3-031-80453-3doiSubjects--Topical Terms:

672075
Abstract Harmonic Analysis.

LC Class. No.: QA614.86

Dewey Class. No.: 514.742

Recent developments in fractals and related fields = conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 /
LDR:03514nam a2200337 a 4500 001 1162479
003 DE-He213
005 20250418133452.0
006 m d
007 cr nn 008maaau
008 251029s2025 sz s 0 eng d
020 $a 9783031804533 $q (electronic bk.)
020 $a 9783031804526 $q (paper)
024 7 $a 10.1007/978-3-031-80453-3 $2 doi
035 $a 978-3-031-80453-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA614.86
072 7 $a PBKL $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKL $2 thema
082 0 4 $a 514.742 $2 23
090 $a QA614.86 $b .F798 2022
111 2 $a Workshop on the Preservation of Stability under Discretization $d (2001 : $c Fort Collins, Colo.) $3 527686
245 1 0 $a Recent developments in fractals and related fields $h [electronic resource] : $b conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 / $c edited by Julien Barral, Athanasios Batakis, Stéphane Seuret.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a xiv, 392 p. : $b ill. (chiefly color), digital ; $c 24 cm.
490 1 $a Trends in mathematics, $x 2297-024X
505 0 $a Amir Algom and Meng Wu: Large slices through self affine carpets -- Demi Allen and Edouard Daviaud: A survey of recent extensions and generalisations of the Mass Transference Principle -- Peter Arzt and Uta Freiberg: Spectral Exponents of Gap Diffusions on Random Homogeneous Cantor-Sets -- Athanasios Batakis, Nga Nguyen and Michel Zinsmeister: A new Model of City Growth and its Application to a middle sized French City -- Wejdene Ben Nasr, Véronique Billat, Stéphane Jaffard,, Florent Palacin and Guillaume Saës: The weak scaling multifractal spectrum: Mathematical setting and applications to marathon runners physiological data -- Argyrios Christodoulou and Natalia Jurga: Self-projective sets -- Hervé Queffélec and Martine Queffélec: Old and new results on the Furstenberg sets -- Michael Hochman: On the analytic self-maps of Cantor sets in the line -- Xiong Jin: A Chung-Fuchs type theorem for skew product dynamical systems -- Sabrina Kombrink and Lucas Schmidt: Eigenvalue counting functions and parallel volumes for examples of fractal sprays generated by the Koch snowflake -- Eugen Mihailescu: Exact dimensional measures in deterministic and random systems -- Tuomas Sahlsten: Fourier transforms and iterated function systems -- Nicolas de Saxcé: A presentation of the discretized sum-product in division algebras -- Xavier Tolsa: Carleson's 𝜀2 conjecture in higher dimensions and Faber-Krahn inequalities.
520 $a This volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals. It includes both original research contributions, as well as surveys from many of the leading experts on modern fractal geometry theory and applications. The contributions contained in the book stem from the conference "Fractals and Related Fields IV", that was held in 2022 on the Island of Porquerolles, France. Various aspects of fractal geometry in connection with harmonic analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, functional analysis, additive combinatorics, embedding theory, and signal and image processing are addressed within its pages. We hope that the book will be interesting for pure and applied mathematicians in these areas, as well as for other researchers curious to discover more about fractals.
650 2 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Probability Theory. $3 1366244
650 2 4 $a Number Theory. $3 672023
650 2 4 $a Dynamical Systems. $3 1366074
650 1 4 $a Measure and Integration. $3 672015
650 0 $a Fractals $v Congresses. $3 1067397
700 1 $a Seuret, Stéphane. $3 1489278
700 1 $a Batakis, Athanasios. $3 1489277
700 1 $a Barral, Julien. $3 1074898
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Trends in mathematics. $3 883732
856 4 0 $u https://doi.org/10.1007/978-3-031-80453-3
950 $a Mathematics and Statistics (SpringerNature-11649)