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$Differences in the complexity of the EEG signal (yellow and red colors) in a specific brain area between the group with advanced multiple sclerosis and the control group, and multifractal spectra calculated for the group of patients (red line) and for the control group (blue line). (Source: IFJ PAN)$

2024/04/10

2024/03/20

2024/02/21

2024/01/24

2024/01/17

2023/11/23

2023/11/08

$Experimental set-up at the SACLA facility used for the presented diffraction experiment on crystalline silicon samples. (Source: SACLA)$

2023/10/18

$The SACLA free-electron laser facility, where the experiment on the diffraction of ultra-short X-ray pulses on crystalline silicon samples was carried out. (Source: SACLA)$

2023/10/18

2023/10/06

2023/10/04

2023/09/14

2023/07/10

2023/06/14

2023/05/18

2023/04/19

2023/03/08

$A pulse of light, emitted by electrons in the X-ray laser undulator, hits a sample of material with magnetic properties, scatters and forms a diffraction ring. The diameter of the ring depends on the average distance between the magnetic domains, and its intensity is the greater, the stronger the magnetization of the sample. (Source: IFJ PAN)$

2022/12/14

2022/12/08

2022/11/03

2022/08/31

2022/08/04

2022/07/14

2022/06/27

2022/06/09

$XRD results for the W-1000 mixture. Upper panel: diffraction patterns of W-1000 in the vitrified SmCA* phase in −123°C and in the SmCA* phase after 10-weeks-long storage in the room temperature. The schematic structure of the SmCA* phase is presented. The tilt of molecules is in the opposite direction in neighbour layers. Within layers, only the short-range order, like in liquids, is present. Bottom panel: smectic layer spacing and correlation length of the short-range order vs. temperature determined from the XRD patterns of W-1000. Note the change in temperature dependence of both parameters at the glass transition temperature, indicated by the vertical dashed line. (Source: IFJ PAN)$

2022/06/02

2022/05/09

2022/03/24

2022/02/28

2022/02/17

2022/02/09

2022/02/03

2022/01/27

2021/08/12

2021/06/09

2021/05/27

2021/05/20

2021/04/29

2021/03/31

2021/03/18

2021/03/11

2021/02/24

2021/02/18

2020/12/30

2020/12/17

2020/11/12

2020/10/26

2020/07/15

2020/06/24

2020/06/17

2020/06/03

2020/05/28

2020/05/26

2020/04/02

2020/03/24

2020/03/03

2020/01/09

2019/12/16

2019/11/20

2019/10/28

2019/10/03

2019/09/11

2019/08/29

2019/08/19

2019/08/06

2019/06/06

2019/05/09

2019/04/24

2019/04/11

2019/02/14

2018/12/20

2018/12/13

$Real electronic oscillators generate more complex dynamics as a result of imperfections in fractal connections. (Source: IFJ PAN)$

2018/12/13

2018/12/12

$Multifractal and fractal manifestations of nervousness in the world economy. Top: changes in the Hurst exponent for the S&P 500 index in the last half-century, with the moments of financial crashes marked. Below: oscillations of the S&P 500 in the years 1800-2003 with extrapolation (made in 2003) to 2025. (Source: IFJ PAN)$

2018/11/22

2018/11/08

2018/10/11

2018/10/10

2018/10/04

2018/10/03

2018/08/30

$Remote synchronization in a network of simple electronic oscillators connected in a ring. Periodic fluctuation of the low frequency component driving the effect, resembling a diffraction pattern, is represented by the colors of the oscillators. (Source: IFJ PAN)$

2018/08/23

2018/08/02

2018/06/21

2018/06/14

2018/06/12

2018/05/23

2018/03/01

2018/02/14

2018/01/10

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2017/10/26

HR (light)
2017/10/18

2017/09/28

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2016/03/02

$Multifractality in literature. The numbers correspond to the position of a given literary work in the pool (as in the detailed list available in the scientific publication). The color red indicates works traditionally belonging to the genre of stream of consciousness. On the vertical axis is the width of the multifractal spectrum – in those closer to unity, the text has a more multifractal structure. The horizontal axis is the degree of persistence H, in this case in the length of the sentences. A higher value of H means that there is a greater probability of a long sentence immediately following a long one, and a short one following another short. H = 0.5 means the lack of such a tendency. (Source: IFJ PAN)$

2016/01/21

$Multifractal analysis of Finnegan’s Wake by James Joyce. The ideal shape of the graph is virtually indistinguishable from the results for purely mathematical multifractals. The horizontal axis represents the degree of singularity, and the vertical axis shows the spectrum of singularity. (Source: IFJ PAN)$

2016/01/21

2015/11/25

2015/07/22

$Examples of analysis of multifractals. A perfect multifractal graph is symmetrical (upper left corner). Phenomena in the real world often show left-handed asymmetry, such as in variations in the length of sentences in some literary works (upper right corner, the blue dot is a graph for a typical book). Variations in intervals between stock market operations and the number of sunspots (bottom row, from left) show right-handed asymmetry. The horizontal axis represents the degree of singularity, and the vertical axis shows the spectrum of singularity. (Source: IFJ PAN, NASA/GSFC/SDO)$

2015/04/29

$Analysis of multifractals, conducted by the Institute of Nuclear Physics of the Polish Academy of Sciences in Kraków, Poland, suggest the existence of an unknown mechanism on the Sun, influenced by changes in the number of sunspots. Graphs on multifractal analysis of the variability of sunspots show a clear right-handed asymmetry. The horizontal axis represents the degree of singularity, and the vertical axis shows the spectrum of singularity. (Source: IFJ PAN, NASA/GSFC/SDO)$

2015/04/29

2015/03/11

2014/12/03

2014/10/09

2014/09/17

2014/07/09

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