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pro vyhledávání: '"Guhr A"'
The winding number is the topological invariant that classifies chiral symmetric Hamiltonians with one-dimensional parametric dependence. In this work we complete our study of the winding number statistics in a random matrix model belonging to the ch
Externí odkaz:
http://arxiv.org/abs/2410.22808
Publikováno v:
J. Phys. Complex. 5 045003 (2024)
The causal connection between congestions and velocity changes at different locations induces various statistical features, which we identify and measure in detail. We carry out an empirical analysis of large-scale traffic data on a local motorway ne
Externí odkaz:
http://arxiv.org/abs/2406.17724
When we travel by car from one location to another, our route is constrained by the road network. The resulting network distance is generally longer than the geodetic distance, i.e. the distance as the crow flies, between the two locations. We report
Externí odkaz:
http://arxiv.org/abs/2406.06490
We further pursue a recently tested approach to the study of transport systems. Using empirical data collected on German motorways, we investigate the use of response functions as a tool to study traffic dynamics in motorway networks. We use a respon
Externí odkaz:
http://arxiv.org/abs/2406.02307
Publikováno v:
SciPost Phys. 17, 122 (2024)
We consider an Ising model with quenched surface disorder, the disorder average of the free energy is the main object of interest. Explicit expressions for the free energy distribution are difficult to obtain if the quenched surface spins take values
Externí odkaz:
http://arxiv.org/abs/2312.13231
Publikováno v:
Physica A 649, 129952 (2024)
The congestion of a motorway section is propagated to its neighbouring sections, leading to correlations. The resulting correlation matrix encodes the information on congestion. Here, we study symmetrized time-lagged correlations and show how their s
Externí odkaz:
http://arxiv.org/abs/2312.12051
We consider the problem of local correlations in the kicked, dual-unitary coupled maps on D-dimensional lattices. We demonstrate that for D>=2, fully dual-unitary systems exhibit ultra-local correlations: the correlations between any pair of operator
Externí odkaz:
http://arxiv.org/abs/2312.03445
Publikováno v:
J. Math. Phys. 64, 111902 (2023)
We extend our recent study of winding number density statistics in Gaussian random matrix ensembles of the chiral unitary (AIII) and chiral symplectic (CII) classes. Here, we consider the chiral orthogonal (BDI) case which is the mathematically most
Externí odkaz:
http://arxiv.org/abs/2306.12051
Autor:
Bette, Henrik M., Wiedemann, Christian, Wächter, Matthias, Freund, Jan, Peinke, Joachim, Guhr, Thomas
Modern wind turbines gather a wealth of data with Supervisory Control And Data Acquisition (SCADA) systems. We study the short-term mutual dependencies of a variety of observables by evaluating Pearson correlation matrices on a moving time window. Us
Externí odkaz:
http://arxiv.org/abs/2310.06098
Autor:
Wiedemann, Christian, Bette, Henrik M., Wächter, Matthias, Freund, Jan A., Guhr, Thomas, Peinke, Joachim
In the last few years, the dynamical characterization of the power output of a wind turbine by means of a Langevin equation has been well established. For this approach, temporally highly resolved measurements of wind speed and power output are used
Externí odkaz:
http://arxiv.org/abs/2305.15512