@unpublished{8081,
abstract = {Here, we employ micro- and nanosized cellulose particles, namely paper fines and cellulose
nanocrystals, to induce hierarchical organization over a wide length scale. After processing
them into carbonaceous materials, we demonstrate that these hierarchically organized materials
outperform the best materials for supercapacitors operating with organic electrolytes reported
in literature in terms of specific energy/power (Ragone plot) while showing hardly any capacity
fade over 4,000 cycles. The highly porous materials feature a specific surface area as high as
2500 m2ˑg-1 and exhibit pore sizes in the range of 0.5 to 200 nm as proven by scanning electron
microscopy and N2 physisorption. The carbonaceous materials have been further investigated
by X-ray photoelectron spectroscopy and RAMAN spectroscopy. Since paper fines are an
underutilized side stream in any paper production process, they are a cheap and highly available
feedstock to prepare carbonaceous materials with outstanding performance in electrochemical
applications. },
author = {Hobisch, Mathias A. and Mourad, Eléonore and Fischer, Wolfgang J. and Prehal, Christian and Eyley, Samuel and Childress, Anthony and Zankel, Armin and Mautner, Andreas and Breitenbach, Stefan and Rao, Apparao M. and Thielemans, Wim and Freunberger, Stefan Alexander and Eckhart, Rene and Bauer, Wolfgang and Spirk, Stefan },
title = {{High specific capacitance supercapacitors from hierarchically organized all-cellulose composites}},
year = {2020},
}
@article{8163,
abstract = {Fejes Tóth [3] studied approximations of smooth surfaces in three-space by piecewise flat triangular meshes with a given number of vertices on the surface that are optimal with respect to Hausdorff distance. He proves that this Hausdorff distance decreases inversely proportional with the number of vertices of the approximating mesh if the surface is convex. He also claims that this Hausdorff distance is inversely proportional to the square of the number of vertices for a specific non-convex surface, namely a one-sheeted hyperboloid of revolution bounded by two congruent circles. We refute this claim, and show that the asymptotic behavior of the Hausdorff distance is linear, that is the same as for convex surfaces.},
author = {Vegter, Gert and Wintraecken, Mathijs},
issn = {1588-2896},
journal = {Studia Scientiarum Mathematicarum Hungarica},
number = {2},
pages = {193--199},
publisher = {AKJournals},
title = {{Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes}},
doi = {10.1556/012.2020.57.2.1454},
volume = {57},
year = {2020},
}
@article{8162,
author = {Laukoter, Susanne and Pauler, Florian and Beattie, Robert J and Amberg, Nicole and Hansen, Andi H and Streicher, Carmen and Penz, Thomas and Bock, Christoph and Hippenmeyer, Simon},
issn = {0896-6273},
journal = {Neuron},
number = {9},
pages = {1--20},
publisher = {Elsevier},
title = {{Cell-type specificity of genomic imprinting in cerebral cortex}},
doi = {10.1016/j.neuron.2020.06.031},
volume = {107},
year = {2020},
}
@article{7389,
abstract = {Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space W_2(R^n). It turned out that the case of the real line is exceptional in the sense that there exists an exotic isometry flow. Following this line of investigation, we compute Isom(W_p(R)), the isometry group of the Wasserstein space
W_p(R) for all p \in [1,\infty) \setminus {2}. We show that W_2(R) is also exceptional regarding the
parameter p: W_p(R) is isometrically rigid if and only if p is not equal to 2. Regarding the underlying
space, we prove that the exceptionality of p = 2 disappears if we replace R by the compact
interval [0,1]. Surprisingly, in that case, W_p([0,1]) is isometrically rigid if and only if
p is not equal to 1. Moreover, W_1([0,1]) admits isometries that split mass, and Isom(W_1([0,1]))
cannot be embedded into Isom(W_1(R)).},
author = {Geher, Gyorgy Pal and Titkos, Tamas and Virosztek, Daniel},
issn = {10886850},
journal = {Transactions of the American Mathematical Society},
keywords = {Wasserstein space, isometric embeddings, isometric rigidity, exotic isometry flow},
number = {8},
pages = {5855--5883},
publisher = {American Mathematical Society},
title = {{Isometric study of Wasserstein spaces - the real line}},
doi = {10.1090/tran/8113},
volume = {373},
year = {2020},
}
@phdthesis{8156,
abstract = {We present solutions to several problems originating from geometry and discrete mathematics: existence of equipartitions, maps without Tverberg multiple points, and inscribing quadrilaterals. Equivariant obstruction theory is the natural topological approach to these type of questions. However, for the specific problems we consider it had yielded only partial or no results. We get our results by complementing equivariant obstruction theory with other techniques from topology and geometry.},
author = {Avvakumov, Sergey},
pages = {119},
publisher = {IST Austria},
title = {{Topological methods in geometry and discrete mathematics}},
doi = {10.15479/AT:ISTA:8156},
year = {2020},
}