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We study the asymmetry of the Lipschitz metric d on Outer space. We introduce an (asymmetric) Finsler norm that induces d. There is an Out(F_n)-invariant potential on Outer space such that when the Lipschitz norm is corrected by the derivative of , the resulting norm is quasisymmetric. As an application, we give new proofs of two theorems of Handel-
Algom-Kfir, Yael, Bestvina, Mladen
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Building a flagellum in biological outer space [PDF]
Flagella, the rotary propellers on the surface of bacteria, present a paradigm for how cells build and operate complex molecular ‘nanomachines’. Flagella grow at a constant rate to extend several times the length of the cell, and this is achieved by ...
Lewis D. B. Evans +2 more
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RELATIVE TWISTING IN OUTER SPACE [PDF]
Subsurface projection is indispensable to studying the geometry of the mapping class group and the curve complex of a surface. When the subsurface is an annulus, this projection is sometimes called relative twisting. We give two alternate versions of relative twisting for the outer automorphism group of a free group.
Clay, Matt, Pettet, Alexandra
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This Special Issue of the journal Axioms collates submissions in which the authors report their perceptions and results in the field of mathematical physics and/or physical mathematics without any preconditions of the specific research topic [...]
Hans J. Haubold
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Progress towards the achievement of the 17 Sustainable Development Goals (SDGs) of the 2030 Agenda for Sustainable Development in many ways presupposes the utilisation of science, technology and innovation.
André Baumgart +3 more
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Analytic Representation of Maxwell—Boltzmann and Tsallis Thermonuclear Functions with Depleted Tail
The closed forms of the non-resonant thermonuclear function in the Maxwell–Boltzmann and Tsallis case with depleted tail are obtained in generalized special functions. The results are written in terms of H-function of two variables. The importance of the
Dilip Kumar, Hans J. Haubold
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Blockchain technology has spurred the emergence of powerful narratives to promote new ways of governing outer space. The list of proposed uses for blockchain applications in outer space is endless—from property registries for asteroid mining, to supply ...
Primavera De Filippi, Andrea Leiter
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People’s daily lives have always relied heavily on their link with outer space. From using the constellations for navigation millennia ago to connecting with thousands of satellites that provide geopositioning, communication, and weather monitoring services, outer space has been a constant companion.
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Mathematical Aspects of Krätzel Integral and Krätzel Transform
A real scalar variable integral is known in the literature by different names in different disciplines. It is basically a Bessel integral called specifically Krätzel integral. An integral transform with this Krätzel function as kernel is known as Krätzel
Arak M. Mathai, Hans J. Haubold
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International-Legal Problem of Space Debris [PDF]
The article deals with theoretical and practical legal aspects of the problem of man-made clogging of near-Earth space. The analysis shows that international space law does not cope with the current challenges and threats associated with man-made ...
Vasyl Semenyaka
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