Coastlines violate the Schramm-Loewner evolution. (English) Zbl 07930378
MSC:
82-XX
Found 135 Documents (Results 1–100)
Density of states for the Anderson model on nested fractals. (English) Zbl 1541.82008
Reviewer: Nasir N. Ganikhodjaev (Tashkent)
A steady-state analysis of distribution networks by diffusion-limited-aggregation and multifractal geometry. (English) Zbl 07543456
MSC:
82-XX
Fractal equation of motion of a non-Gaussian polymer chain: investigating its dynamic fractal response using an ancient Chinese algorithm. (English) Zbl 1487.81157
Towards understanding the non-Gaussian pore size distributions of nonwoven fabrics. (English) Zbl 07482385
MSC:
82-XX
The fractal cylinder process: existence and connectivity phase transitions. (English) Zbl 1483.60145
Fractal dimension of discrete sets and percolation. (English) Zbl 1462.28008
Freiberg, Uta (ed.) et al., Fractal geometry and stochastics VI. Selected papers of the 6th conference, Bad Herrenalb, Germany, September 30 – October 6, 2018. Cham: Birkhäuser. Prog. Probab. 76, 101-124 (2021).
Fractal geometry of \(\text{Airy}_2\) processes coupled via the Airy sheet. (English) Zbl 1457.82165
Multi-fractional generalized Cauchy process and its application to teletraffic. (English) Zbl 07526328
Superlinearity of geodesic length in 2D critical first-passage percolation. (English) Zbl 1446.82034
Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. II. Brownian web and percolation, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 299, 101-122 (2019).
The diameter of a long-range percolation cluster on generalized pre-Sierpinski carpet and regular tree. (English) Zbl 1448.82017
Multiple Ginzburg-Landau vortices pinned by randomly distributed small holes. (English) Zbl 1480.35367
Fractal-like kinetics study of adsorption on multi-walled carbon nanotube. (English) Zbl 1428.82077
Reviewer: Yulianna Perepelkina (Moskva)
From non-symmetric particle systems to non-linear PDEs on fractals. (English) Zbl 1405.60142
Eberle, Andreas (ed.) et al., Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Cham: Springer (ISBN 978-3-319-74928-0/hbk; 978-3-319-74929-7/ebook). Springer Proceedings in Mathematics & Statistics 229, 503-513 (2018).
Formation of a relation of nonlocalities in the anomalous diffusion model. (English. Russian original) Zbl 1387.82020
Theor. Math. Phys. 193, No. 1, 1508-1523 (2017); translation from Teor. Mat. Fiz. 193, No. 1, 115-132 (2017).
Topological Hausdorff dimension and geodesic metric of critical percolation cluster in two dimensions. (English) Zbl 1375.82048
Butterfly in the quantum world. The story of the most fascinating quantum fractal. With contributions by Douglas Hofstadter. (English) Zbl 1362.81004
IOP Concise Physics. San Rafael, CA: Morgan & Claypool Publishers; London: IOP Publishing (ISBN 978-1-68174-053-9/pbk; 978-1-6817-4117-8/ebook). lvii, 350 p., not consecutively paged (2016).
Reviewer: Willi-Hans Steeb (Johannesburg)
Cookie-cutter-like dynamic system of unbounded expansion. (English) Zbl 1335.81074
Bohner, Martin (ed.) et al., Difference equations, discrete dynamical systems and applications. Proceedings of the 20th international conference on difference equations and applications, ICDEA, Wuhan, China, July 21–25, 2014. Cham: Springer (ISBN 978-3-319-24745-8/hbk; 978-3-319-24747-2/ebook). Springer Proceedings in Mathematics & Statistics 150, 109-117 (2015).
Space-time percolation and detection by mobile nodes. (English) Zbl 1331.82046
Reviewer: Guy Jumarie (Montréal)
Fractal models of atoms and molecules. (English) Zbl 1317.81282
Zelinka, Ivan (ed.) et al., Nostradamus 2014: prediction, modeling and analysis of complex systems. Selected papers based on the presentations at the Nostradamus conference, Ostrava, Czech Republic, June 2014. Cham: Springer (ISBN 978-3-319-07400-9/pbk; 978-3-319-07401-6/ebook). Advances in Intelligent Systems and Computing 289, 429-438 (2014).
Statistics of fractal systems. (English) Zbl 1317.81018
Zelinka, Ivan (ed.) et al., Nostradamus 2014: prediction, modeling and analysis of complex systems. Selected papers based on the presentations at the Nostradamus conference, Ostrava, Czech Republic, June 2014. Cham: Springer (ISBN 978-3-319-07400-9/pbk; 978-3-319-07401-6/ebook). Advances in Intelligent Systems and Computing 289, 55-63 (2014).
Justification of the empirical laws of the anomalous dielectric relaxation in the framework of the memory function formalism. (English) Zbl 1312.78007
Complex system analysis of market return percolation model on Sierpinski carpet lattice fractal. (English) Zbl 1320.91116
Random permutations of a regular lattice. (English) Zbl 1302.82038
Reviewer: Mei Yin (Denver)
Hausdorff dimension of visible sets for well-behaved continuum percolation in the hyperbolic plane. (English) Zbl 1293.60094
From particles scale to anomalous or classical convection-diffusion models with path integrals. (English) Zbl 1274.60252
Fractal complex dimensions, Riemann hypothesis and invertibility of the spectral operator. (English) Zbl 1321.11082
Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics I: Fractals in pure mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9147-6/pbk; 978-1-4704-1082-7/ebook). Contemporary Mathematics 600, 51-89 (2013).
Microscopic model of a non-Debye dielectric relaxation: the Cole-Cole law and its generalization. (English. Russian original) Zbl 1284.82084
Theor. Math. Phys. 173, No. 2, 1604-1619 (2012); translation from Teor. Mat. Fiz. 173, No. 2, 314-332 (2012).
Main axiom of thermodynamics and entropy of number theory: tunnel and ultrasecond quantization. (English) Zbl 1287.82015
Reviewer: Guy Jumarie (Montréal)
MSC:
82B30
Linear and fractal diffusion coefficients in a family of one-dimensional chaotic maps. (English) Zbl 1207.82041
Reviewer: Claudia-Veronika Meister (Darmstadt)
Thermodynamic equations of state with three defining constants. (English) Zbl 1277.82048
Reviewer: Dazmir Shulaia (Tbilisi)
Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006
Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010).
Reviewer: Georg Hebermehl (Berlin)
Fractal structure of Hastings-Levitov patterns restricted in a sector geometry. (English) Zbl 1200.82018
Thermodynamics of fluids for imperfect gases with Lennard-Jones interaction potential. III. (English) Zbl 1262.82039
Next-nearest-neighbor-tunneling-induced symmetry breaking of Hofstadter’s butterfly spectrum for ultracold atoms on the honeycomb lattice. (English) Zbl 1236.82152
Asymmetry of near-critical percolation interfaces. (English) Zbl 1218.60088
Reviewer: Dominique Lepingle (Orléans)
Fluid thermodynamics, energy redistribution law, two-dimensional condensate, and \(T\) map. (English. Russian original) Zbl 1272.82016
Theor. Math. Phys. 161, No. 3, 1681-1713 (2009); translation from Teor. Mat. Fiz. 161, No. 3, 420-458 (2009).
Explorations in Monte Carlo methods. (English) Zbl 1183.65003
Undergraduate Texts in Mathematics. New York, NY: Springer (ISBN 978-0-387-87836-2/hbk; 978-0-387-87837-9/ebook). xii, 243 p. (2009).
Reviewer: Vassil Grozdanov (Blagoevgrad)
Global properties of stochastic Loewner evolution driven by Lévy processes. (English) Zbl 1456.82783
Large-\(N\) limit of crossing probabilities, discontinuity, and asymptotic behavior of threshold values in Mandelbrot’s fractal percolation process. (English) Zbl 1191.60109
An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering. (English) Zbl 1149.76607
Taking the particle interaction into account in a new concept of nucleation theory. (English) Zbl 1149.82320
Theor. Math. Phys. 156, No. 2, 1228-1229 (2008); translation from Teor. Mat. Fiz. 156, No. 2, 303-304 (2008).
Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems. (English) Zbl 1134.37365
Fractal dimension as a thermodynamical parameter. (Russian) Zbl 1119.82332
Reviewer: Evgenij Nechaev (Moskva)
Statistical approach to non-Fickian diffusion. (English) Zbl 1121.82346
MSC:
82C35
Resistance of random Sierpiński gaskets. (English) Zbl 1317.31018
Berkolaiko, Gregory (ed.) et al., Quantum graphs and their applications. Proceedings of an AMS-IMS-SIAM joint summer research conference on quantum graphs and their applications, Snowbird, UT, USA, June 19–23, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3765-6/pbk). Contemporary Mathematics 415, 121-136 (2006).
A lattice Boltzmann study of the hydrodynamic properties of 3D fractal aggregates. (English) Zbl 1102.76052
Nonequilibrium molecular dynamics: reversible irreversibility from symmetry breaking, thermostats, entropy production, and fractals. (English) Zbl 1111.82302
Uribe, Francisco J. (ed.) et al., Statistical physics and beyond. 2nd Mexican meeting on mathematical and experimental physics, México City, México, September 6–10, 2004. Melville, NY: American Institute of Physics (AIP) (ISBN 0-7354-0242-6/hbk). AIP Conference Proceedings 757, 16-28 (2005).
Fractal dimensions for repellers of maps with holes. (English) Zbl 1084.37021
Reviewer: Piotr Garbaczewski (Zielona Góra)
Spectral zeta function of symmetric fractals. (English) Zbl 1060.28010
Bandt, Christoph (ed.) et al., Fractal geometry and stochastics III. Proceedings of the 3rd conference, Friedrichroda, Germany, March 17–22, 2003. Basel: Birkhäuser (ISBN 3-7643-7070-X/hbk). Progress in Probability 57, 245-262 (2004).
Spectral properties of self-similar lattices and iteration of rational maps. (English) Zbl 1036.82013
Mém. Soc. Math. Fr., Nouv. Sér. 92, vi, 104 p. (2003).
Reviewer: Eckhard Giere (Clausthal-Zellerfeld)
Remark on a covering theorem. (English. Russian original) Zbl 1049.28004
J. Math. Sci., New York 112, No. 1, 4024-4028 (2002); translation from Probl. Mat. Anal. 24, 147-154 (2002).
Reviewer: N. A. Kudryavtseva (Novosibirsk)
On some properties of a meson. (English) Zbl 1012.81526
Gaussian self-affinity and fractals. Globality, the earth, \(1/f\) noise, and R/S. Selecta (old or new) volume H. With contributions by F. J. Damerau, M. Frame, K. McCamy, J. W. Van Ness, J. R. Wallis, and others. Selected works of Benoit B. Mandelbrot. (English) Zbl 1007.01020
New York, NY: Springer. ix, 654 p. (2002).
Reviewer: Yimin Xiao (Berkeley)
Directed percolation, the fixed scale transformation and the renormalization group. (English) Zbl 0998.82028
Stauffer, Dietrich (ed.) et al., Annual reviews of computational physics VIII. Theme issue: Scaling and disordered systems. Singapore: World Scientific. 133-156 (2001).
Reviewer: Yuri Kozitsky (Lublin)
Fractional differences, derivatives and fractal time series. (English) Zbl 1046.82024
Hilfer, R. (ed.), Applications of fractional calculus in physics. Singapore: World Scientific (ISBN 981-02-3457-0). 171-201 (2000).
Reviewer: Ram Kishore Saxena (Jodhpur)
Paradigms of complexity. Fractals and structures in the sciences. Papers from Fractal 2000, the 6th international conference, Singapore, April 16–19, 2000. (English) Zbl 0949.00023
Singapore: World Scientific. xi, 307 p. (2000).
Estimating the eigenvalue of fast reactors and Cantorian space. (English) Zbl 0954.37039
Reviewer: Messoud Efendiev (Berlin)
Thermodynamics of fractal signals based on wavelet analysis: Application to fully developed turbulence data and DNA sequences. (English) Zbl 1006.82505
Priezzhev, V. B. (ed.) et al., Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30-August 7, 1998. Dubna: Joint Institute for Nuclear Research. 35-56 (1999).
Interacting particle approximation for nonlocal quadratic evolution problems. (English) Zbl 0985.60091
Fractal pores and fractal tunnels: Traps for “particles” or “sound particles”. (English) Zbl 0973.70014
Dekking, Michel (ed.) et al., Fractals: Theory and applications in engineering. London: Springer. 207-227 (1999).
Hölder regularity and dimension bounds for random curves. (English) Zbl 0944.60022
Reviewer: J.Franchi (Paris)
Continuum models and discrete systems. Proceedings of the 9th international symposium held in Istanbul, Turkey, June 29–July 3, 1998. (English) Zbl 0957.74003
Singpore: World Scientific Publishing. xviii, 852 p. (1998).
Reviewer: I.A.Parinov (Rostov-na-Donu)
A lower bound on the box-counting dimension of crossings in fractal percolation. (English) Zbl 0932.60085
Reviewer: Ivan Saxl (Praha)
Scaling limit for the incipient spanning clusters. (English) Zbl 0941.74013
Golden, Kenneth M. (ed.) et al., Mathematics of multiscale materials. Proceedings of the IMA workshops, Minneapolis, MN, USA 1995-1996. New York, NY: Springer. IMA Vol. Math. Appl. 99, 1-24 (1998).
Percolation on fractal lattices: Asymptotic behavior of the correlation length. (English) Zbl 0930.60098
Kawashima, S. (ed.) et al., Advances in nonlinear partial differential equations and stochastics. Proceedings of the conference, Nara Women’s University, Japan, September 21–22, 1996. Dedicated to Professor Yasushi Shizuta on the occasion of his 60th birthday. Singapore: World Scientific. Ser. Adv. Math. Appl. Sci. 48, 331-351 (1998).
Reviewer: M.Mürmann (Heidelberg)
Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix. (English) Zbl 0927.15013
Far-field intensity of electromagnetic waves scattered from random, self-affine fractal metal surfaces. (English) Zbl 0910.35130
The global attractors for the Landau-Lifshitz equation of the ferromagnetic spin chain on compact manifolds. (English) Zbl 0882.35119
Ding, Xiaxi (ed.) et al., Nonlinear evolutionary partial differential equations. Proceedings of the international conference, Beijing, China, June 21–25, 1993. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 3, 213-227 (1997).
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