Article cité par

La fonctionnalité Article cité par… liste les citations d'un article. Ces citations proviennent de la base de données des articles de EDP Sciences, ainsi que des bases de données d'autres éditeurs participant au programme CrossRef Cited-by Linking Program. Vous pouvez définir une alerte courriel pour être prévenu de la parution d'un nouvel article citant " cet article (voir sur la page du résumé de l'article le menu à droite).

Article cité :

Energy-level statistics in planar fractal tight-binding models

Qi Yao, Xiaotian Yang, Askar A. Iliasov, M. I. Katsnelson and Shengjun Yuan
Physical Review B 107 (11) (2023)
https://doi.org/10.1103/PhysRevB.107.115424

Self-Similar Groups and Holomorphic Dynamics: Renormalization, Integrability, and Spectrum

N.-B. Dang, R. Grigorchuk and M. Lyubich
Arnold Mathematical Journal 9 (4) 505 (2023)
https://doi.org/10.1007/s40598-022-00223-0

Gaps labeling theorem for the bubble-diamond self-similar graphs

Elizabeth Melville, Gamal Mograby, Nikhil Nagabandi, Luke G Rogers and Alexander Teplyaev
Journal of Physics A: Mathematical and Theoretical 56 (46) 465303 (2023)
https://doi.org/10.1088/1751-8121/ad03a4

Sierpiński Fractals and the Dimension of Their Laplacian Spectrum

Mark Pollicott and Julia Slipantschuk
Mathematical and Computational Applications 28 (3) 70 (2023)
https://doi.org/10.3390/mca28030070

Average trapping time on a type of horizontally segmented three dimensional Sierpinski gasket network with two types of locally self-similar structures

Zhizhuo Zhang and Bo Wu
Journal of Statistical Mechanics: Theory and Experiment 2022 (3) 033205 (2022)
https://doi.org/10.1088/1742-5468/ac57c7

Spectral decimation of a self-similar version of almost Mathieu-type operators

Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou and Alexander Teplyaev
Journal of Mathematical Physics 63 (5) (2022)
https://doi.org/10.1063/5.0078939

Spectra of perfect state transfer Hamiltonians on fractal-like graphs

Gamal Mograby, Maxim Derevyagin, Gerald V Dunne and Alexander Teplyaev
Journal of Physics A: Mathematical and Theoretical 54 (12) 125301 (2021)
https://doi.org/10.1088/1751-8121/abc4b9

Critical point approaches to Gradient-Type systems on the Sierpiński Gasket

Fangfang Liao, Shapour Heidarkhani, Ghasem A. Afrouzi and Amjad Salari
Journal of Applied Analysis & Computation 9 (1) 314 (2019)
https://doi.org/10.11948/2019.314

A Counterexample to the “Hot Spots” Conjecture on Nested Fractals

Ka-Sing Lau, Xiao-Hui Li and Huo-Jun Ruan
Journal of Fourier Analysis and Applications 24 (1) 210 (2018)
https://doi.org/10.1007/s00041-017-9524-z

Effects of heterogeneity in site–site couplings for tight-binding models on scale-invariant structures

Bingjia Yang, Pinchen Xie and Zhongzhi Zhang
Physics Letters A 381 (44) 3773 (2017)
https://doi.org/10.1016/j.physleta.2017.09.045

Wave Equation on One-Dimensional Fractals with Spectral Decimation and the Complex Dynamics of Polynomials

Ulysses Andrews, Grigory Bonik, Joe P. Chen, Richard W. Martin and Alexander Teplyaev
Journal of Fourier Analysis and Applications 23 (5) 994 (2017)
https://doi.org/10.1007/s00041-016-9494-6

Synchronization and coupling of new second julia sets from the complex Gumowski–Mira map

Ping Liu, Jialin Hou, Hongjun Song and Xiang Li
International Journal of Computer Mathematics: Computer Systems Theory 2 (3) 110 (2017)
https://doi.org/10.1080/23799927.2017.1339295

Magnetic Laplacians of locally exact forms on the Sierpinski Gasket

Jessica Hyde, Daniel Kelleher, Jesse Moeller, Luke Rogers and Luis Seda
Communications on Pure & Applied Analysis 16 (6) 2299 (2017)
https://doi.org/10.3934/cpaa.2017113

Evaluation of spectral zeta-functions with the renormalization group

Stefan Boettcher and Shanshan Li
Journal of Physics A: Mathematical and Theoretical 50 (12) 125003 (2017)
https://doi.org/10.1088/1751-8121/aa5c09

Optimal Control and Synchronization of Alternated Julia Sets

Pei Wang and Shutang Liu
Asian Journal of Control 18 (5) 1698 (2016)
https://doi.org/10.1002/asjc.1258

Counting spanning trees on fractal graphs and their asymptotic complexity

Jason A Anema and Konstantinos Tsougkas
Journal of Physics A: Mathematical and Theoretical 49 (35) 355101 (2016)
https://doi.org/10.1088/1751-8113/49/35/355101

Exactly solvable tight-binding model on two scale-free networks with identical degree distribution

Pinchen Xie, Bo Wu and Zhongzhi Zhang
EPL (Europhysics Letters) 116 (3) 38002 (2016)
https://doi.org/10.1209/0295-5075/116/38002

Random walks with fractally correlated traps: Stretched exponential and power-law survival kinetics

Dan Plyukhin and Alex V. Plyukhin
Physical Review E 94 (4) (2016)
https://doi.org/10.1103/PhysRevE.94.042132

Real-space renormalization group for spectral properties of hierarchical networks

Stefan Boettcher and Shanshan Li
Journal of Physics A: Mathematical and Theoretical 48 (41) 415001 (2015)
https://doi.org/10.1088/1751-8113/48/41/415001

Flat band analogues and flux driven extended electronic states in a class of geometrically frustrated fractal networks

Atanu Nandy, Biplab Pal and Arunava Chakrabarti
Journal of Physics: Condensed Matter 27 (12) 125501 (2015)
https://doi.org/10.1088/0953-8984/27/12/125501

Approximating the Ising model on fractal lattices of dimension less than two

Alessandro Codello, Vincent Drach and Ari Hietanen
Journal of Statistical Mechanics: Theory and Experiment 2015 (11) P11008 (2015)
https://doi.org/10.1088/1742-5468/2015/11/P11008

Dynamics Solved by the Three-Point Formula: Exact Analytical Results for Rings

Mircea Galiceanu, Aurel Jurjiu, Antonio Volta and Marco Bittelli
Brazilian Journal of Physics 45 (6) 719 (2015)
https://doi.org/10.1007/s13538-015-0371-6

Exotic electron states and tunable magneto-transport in a fractal Aharonov–Bohm interferometer

Atanu Nandy, Biplab Pal and Arunava Chakrabarti
Physics Letters A 378 (42) 3144 (2014)
https://doi.org/10.1016/j.physleta.2014.09.012

Thin fractal fibers

Umberto Mosco and Maria Agostina Vivaldi
Mathematical Methods in the Applied Sciences 36 (15) 2048 (2013)
https://doi.org/10.1002/mma.1621

Critical behavior of the ideal-gas Bose-Einstein condensation in the Apollonian network

I. N. de Oliveira, T. B. dos Santos, F. A. B. F. de Moura, M. L. Lyra and M. Serva
Physical Review E 88 (2) (2013)
https://doi.org/10.1103/PhysRevE.88.022139

Eigenvalues of normalized Laplacian matrices of fractal trees and dendrimers: Analytical results and applications

Alafate Julaiti, Bin Wu and Zhongzhi Zhang
The Journal of Chemical Physics 138 (20) (2013)
https://doi.org/10.1063/1.4807589

Eigenvalue spectrum of transition matrix of dual Sierpinski gaskets and its applications

Shunqi Wu and Zhongzhi Zhang
Journal of Physics A: Mathematical and Theoretical 45 (34) 345101 (2012)
https://doi.org/10.1088/1751-8113/45/34/345101

Non-equilibrium critical properties of the Ising model on product graphs

Raffaella Burioni, Federico Corberi and Alessandro Vezzani
Journal of Statistical Mechanics: Theory and Experiment 2010 (12) P12024 (2010)
https://doi.org/10.1088/1742-5468/2010/12/P12024

Determining global mean-first-passage time of random walks on Vicsek fractals using eigenvalues of Laplacian matrices

Zhongzhi Zhang, Bin Wu, Hongjuan Zhang, et al.
Physical Review E 81 (3) (2010)
https://doi.org/10.1103/PhysRevE.81.031118

Exit and occupation times for Brownian motion on graphs with general drift and diffusion constant

Olivier Bénichou and Jean Desbois
Journal of Physics A: Mathematical and Theoretical 42 (1) 015004 (2009)
https://doi.org/10.1088/1751-8113/42/1/015004

Harmonic Oscillators on Infinite Sierpinski Gaskets

Edward Fan, Zuhair Khandker and Robert S. Strichartz
Communications in Mathematical Physics 287 (1) 351 (2009)
https://doi.org/10.1007/s00220-008-0633-z

Spectra of Husimi cacti: Exact results and applications

Mircea Galiceanu and Alexander Blumen
The Journal of Chemical Physics 127 (13) (2007)
https://doi.org/10.1063/1.2787005

Transparent boundary conditions for the Helmholtz equation in some ramified domains with a fractal boundary

Yves Achdou, Christophe Sabot and Nicoletta Tchou
Journal of Computational Physics 220 (2) 712 (2007)
https://doi.org/10.1016/j.jcp.2006.05.033

Quantum graph of Sierpinski gasket type: Computational experiment

I. V. Blinova, I. Yu. Popov and M. M. Sandler
Russian Journal of Mathematical Physics 14 (4) 388 (2007)
https://doi.org/10.1134/S1061920807040036

Electrical resistance of N-gasket fractal networks

Brighid Boyle, Kristin Cekala, David Ferrone, Neil Rifkin and Alexander Teplyaev
Pacific Journal of Mathematics 233 (1) 15 (2007)
https://doi.org/10.2140/pjm.2007.233.15

Dynamics of end-linked star-polymer structures

C. Satmarel, C. von Ferber and A. Blumen
The Journal of Chemical Physics 123 (3) (2005)
https://doi.org/10.1063/1.1942490

Generalized Vicsek Fractals:  Regular Hyperbranched Polymers

A. Blumen, Ch. von Ferber, A. Jurjiu and Th. Koslowski
Macromolecules 37 (2) 638 (2004)
https://doi.org/10.1021/ma034553g

Fractal Concepts in Condensed Matter Physics

Tsuneyoshi Nakayama and Kousuke Yakubo
Springer Series in Solid-State Sciences, Fractal Concepts in Condensed Matter Physics 140 71 (2003)
https://doi.org/10.1007/978-3-662-05193-1_6

Fractal Concepts in Condensed Matter Physics

Tsuneyoshi Nakayama and Kousuke Yakubo
Springer Series in Solid-State Sciences, Fractal Concepts in Condensed Matter Physics 140 59 (2003)
https://doi.org/10.1007/978-3-662-05193-1_5

Spontaneous magnetization of the Ising model on the Sierpinski carpet fractal, a rigorous result

A Vezzani
Journal of Physics A: Mathematical and General 36 (6) 1593 (2003)
https://doi.org/10.1088/0305-4470/36/6/305

Topology, hidden spectra and Bose-Einstein condensation on low-dimensional complex networks

R Burioni, D Cassi and A Vezzani
Journal of Physics A: Mathematical and General 35 (5) 1245 (2002)
https://doi.org/10.1088/0305-4470/35/5/308

Bose-Einstein condensation on inhomogeneous complex networks

R Burioni, D Cassi, M Rasetti, P Sodano and A Vezzani
Journal of Physics B: Atomic, Molecular and Optical Physics 34 (23) 4697 (2001)
https://doi.org/10.1088/0953-4075/34/23/314

Spectral Determinant on Quantum Graphs

Eric Akkermans, Alain Comtet, Jean Desbois, Gilles Montambaux and Christophe Texier
Annals of Physics 284 (1) 10 (2000)
https://doi.org/10.1006/aphy.2000.6056

Fractal differential equations on the Sierpinski gasket

Kyallee Dalrymple, Robert S. Strichartz and Jade P. Vinson
The Journal of Fourier Analysis and Applications 5 (2-3) 203 (1999)
https://doi.org/10.1007/BF01261610

Lectures on Probability Theory and Statistics

Martin T. Barlow
Lecture Notes in Mathematics, Lectures on Probability Theory and Statistics 1690 1 (1998)
https://doi.org/10.1007/BFb0092537

Density of states of diffusions on self-similar sets and holomorphic dynamics in ℙk: the example of the intervalle [0,1]

Christophe Sabot
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 327 (4) 359 (1998)
https://doi.org/10.1016/S0764-4442(99)80048-2

Distributions of Localized Eigenvalues of Laplacians on Post Critically Finite Self-Similar Sets

Jun Kigami
Journal of Functional Analysis 156 (1) 170 (1998)
https://doi.org/10.1006/jfan.1998.3243