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A novel family of space-filling curves in their relation to chromosome conformation in eukaryotes

Smrek, Jan; Grosberg, Alexander Y. - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 24, pp. 6375-6388

Spatial conformation of DNA chains during interphase in eukaryotic cell nucleus is relatively dense, yet unknotted and exhibits self-similar fractal properties. In this respect it resembles the space-filling curves of Hilbert, but differs in the experimentally accessible contact probability of...

Persistent link: https://www.econbiz.de/10010874542

Adsorption and collapse transitions of a linear polymer chain interacting with a surface adsorbed polymer chain

Kumar, Sanjay; Singh, Yashwant - In: Physica A: Statistical Mechanics and its Applications 293 (2001) 3, pp. 345-357

We study the problem of adsorption and collapse transition of a linear polymer chain situated in a fractal container … represented by a four-simplex lattice and interacting with a surface-adsorbed linear polymer chain. The adsorbed chain monomers … act as pinning sites for the polymer chain. This problem has been solved exactly using real space renormalization group …

Persistent link: https://www.econbiz.de/10010591375

Can randomness alone tune the fractal dimension?

Hassan, M.K; Kurths, J - In: Physica A: Statistical Mechanics and its Applications 315 (2002) 1, pp. 342-352

We present a generalized stochastic Cantor set by means of a simple cut and delete process and discuss the self-similar properties of the arising geometric structure. To increase the flexibility of the model, two free parameters, m and b, are introduced which tune the relative strength of the...

Persistent link: https://www.econbiz.de/10010873588

Vehicular traffic through a self-similar sequence of traffic lights

Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 386 (2007) 1, pp. 381-387

We study the dynamical behavior of vehicular traffic through a sequence of traffic lights positioned self-similarly on a highway, where all traffic lights turn on and off simultaneously with cycle time Ts. The signals are positioned self-similarly by Cantor set. The nonlinear-map model of...

Persistent link: https://www.econbiz.de/10011062407

Fractal analysis reveals pernicious stress levels related to boat presence and type in the Indo–Pacific bottlenose dolphin, Tursiops aduncus

Seuront, Laurent; Cribb, Nardi - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 12, pp. 2333-2339

traffic did not induce any stress in T. aduncus. In contrast, the scaling exponents of the cumulative probability distribution … boat type. Specifically, the complexity of dive duration patterns (estimated by the scaling exponent ϕ) did not …

Persistent link: https://www.econbiz.de/10011063741

Spatial scaling in persistence

Ray, Purusattam - In: Physica A: Statistical Mechanics and its Applications 314 (2002) 1, pp. 97-102

region r<ξ, persistent sites form a fractal and the structure evolves in time obeying a dynamical scaling. We discuss such …

Persistent link: https://www.econbiz.de/10011064627

Research on the fractal structure in the Chinese stock market

Zhuang, Xin-tian; Huang, Xiao-yuan; Sha, Yan-li - In: Physica A: Statistical Mechanics and its Applications 333 (2004) C, pp. 293-305

Applying fractal theory, this paper probes and discusses self-similarity and scale invariance of the Chinese stock market. It analyses three kinds of scale indexes, i.e., autocorrelation index, Hurst index and the scale index on the basis of detrended fluctuation analysis (DFA) algorithm and...

Persistent link: https://www.econbiz.de/10010591555

The effect of price volatility on judgmental forecasts : the correlated response model

Sobolev, Daphne - In: International journal of forecasting 33 (2017) 3, pp. 605-617

Persistent link: https://www.econbiz.de/10011746193