Search Results - "Bandt, Christoph"

A New Kind of Permutation Entropy Used to Classify Sleep Stages from Invisible EEG Microstructure by Bandt, Christoph

“…Permutation entropy and order patterns in an EEG signal have been applied by several authors to study sleep, anesthesia, and epileptic absences. Here, we…”
Get full text

Small Order Patterns in Big Time Series: A Practical Guide by Bandt, Christoph

“…The study of order patterns of three equally-spaced values x t , x t + d , x t + 2 d in a time series is a powerful tool. The lag is changed in a wide range so…”
Get full text

Entropy Ratio and Entropy Concentration Coefficient, with Application to the COVID-19 Pandemic by Bandt, Christoph

“…In order to study the spread of an epidemic over a region as a function of time, we introduce an entropy ratio describing the uniformity of infections over…”
Get full text

Order patterns, their variation and change points in financial time series and Brownian motion by Bandt, Christoph

“…Order patterns and permutation entropy have become useful tools for studying biomedical, geophysical or climate time series. Here we study day-to-day market…”
Get full text

Permutation entropy: a natural complexity measure for time series by Bandt, Christoph, Pompe, Bernd

“…We introduce complexity parameters for time series based on comparison of neighboring values. The definition directly applies to arbitrary real-world data. For…”
Get full text

Elementary Fractal Geometry. 2. Carpets Involving Irrational Rotations by Bandt, Christoph, Mekhontsev, Dmitry

“…Self-similar sets with the open set condition, the linear objects of fractal geometry, have been considered mainly for crystallographic data. Here we introduce…”
Get full text

Quality Improvement Initiative for Severe Sepsis and Septic Shock Reduces 90-Day Mortality: A 7.5-Year Observational Study by Scheer, Christian S., Fuchs, Christian, Kuhn, Sven-Olaf, Vollmer, Marcus, Rehberg, Sebastian, Friesecke, Sigrun, Abel, Peter, Balau, Veronika, Bandt, Christoph, Meissner, Konrad, Hahnenkamp, Klaus, Gründling, Matthias

“…OBJECTIVE:To investigate the impact of a quality improvement initiative for severe sepsis and septic shock focused on the resuscitation bundle on 90-day…”
Get full text

A single fractal pinwheel tile by BANDT, CHRISTOPH, MEKHONTSEV, DMITRY, TETENOV, ANDREI

“…The pinwheel triangle of Conway and Radin is a standard example for tilings with self-similarity and statistical circular symmetry. Many modifications were…”
Get full text

Elementary Fractal Geometry. 3. Complex Pisot Factors Imply Finite Type by Bandt, Christoph

“…Abstract Self-similar sets require a separation condition to admit a nice mathematical structure. The classical open set condition (OSC) is difficult to…”
Get full text

On the open set condition for self-similar fractals by Bandt, Christoph, Nguyen Viet Hung, Rao, Hui

“…For self-similar sets, the existence of a feasible open set is a natural separation condition which expresses geometric as well as measure-theoretic…”
Get full text

The discrete evolution model of bak and sneppen is conjugate to the classical contact process by BANDT, Christoph

Get full text

Self-similar sets with an open set condition and great variety of overlaps by Bandt, Christoph, Hung, Nguyen Viet

“…For a very simple family of self-similar sets with two pieces, we prove, using a technique of Solomyak, that the intersection of the pieces can be a Cantor set…”
Get full text

Quantitative modeling of the dynamics of adult hippocampal neurogenesis in mice by Lezius, Susanne, Kirste, Imke, Bandt, Christoph, Kempermann, Gerd, Wiskott, Laurenz

Get full text

Computer Geometry: Rep-Tiles with a Hole by Bandt, Christoph, Mekhontsev, Dmitry

Get full text

A cluster approach to random Penrose tilings by Gummelt, Petra, Bandt, Christoph

“…An experimentally relevant subclass of the full random Penrose pentagon tiling ensemble is generated using a single cluster. Local matching rules based on…”
Get full text

Ordinal time series analysis by Bandt, Christoph

“…We discuss robust methods of time series analysis which use only comparisons of values and not their actual size. Local and global order structure are defined…”
Get full text

Old wine in fractal bottles I: Orthogonal expansions on self-referential spaces via fractal transformations by Bandt, Christoph, Barnsley, Michael, Hegland, Markus, Vince, Andrew

“…Our results and examples show how transformations between self-similar sets may be continuous almost everywhere with respect to measures on the sets and may be…”
Get full text

Elementary fractal geometry. 4. Automata-generated topological spaces by Bandt, Christoph

“…Communications in Mathematics, Volume 33 (2025), Issue 2 (Special issue: Numeration, Liège 2023, dedicated to the 75th birthday of professor Christiane…”
Get full text

Elementary fractal geometry. 3. Complex Pisot factors imply finite type by Bandt, Christoph

“…Self-similar sets require a separation condition to admit a nice mathematical structure. The classical open set condition (OSC) is difficult to verify. Zerner…”
Get full text

Statistics and modelling of order patterns in univariate time series by Bandt, Christoph

“…Order patterns apply well to many fields, because of minimal stationarity assumptions. Here we fix the methodology of patterns of length 3 by introducing an…”
Get full text