Long-term analysis of the Störmer–Verlet method for Hamiltonian systems with a solution-dependent high frequency

2015 ◽  
Vol 134 (1) ◽  
pp. 119-138 ◽  
Author(s):  
Ernst Hairer ◽  
Christian Lubich
Keyword(s):  
Hamiltonian Systems ◽  
High Frequency ◽  
Term Analysis

High-Frequency Trading and its Role in Fragmented Markets

2017 ◽  
Vol 32 (3) ◽  
pp. 283-296 ◽  
Author(s):  
Martin Haferkorn
Keyword(s):  
Market Efficiency ◽  
High Frequency ◽  
Efficient Market Hypothesis ◽  
High Frequency Trading ◽  
Electronic Market ◽  
Coordination Costs ◽  
Major Transformation ◽  
Securities Trading ◽  
Term Analysis

Securities trading underwent a major transformation within the last decade. This transformation was mainly driven by the regulatory induced fragmentation and by the increase of high-frequency trading (HFT). On the basis of the electronic market hypothesis, which poses that coordination costs decline when markets become automated, and the efficient market hypothesis in its semi-strong form, we study the effect of HFT on market efficiency in the European fragmented market landscape. In doing so, we further incorporate the realm of financialization, which criticizes the increase in transaction speed. By conducting a long-term analysis of CAC 40 securities, we find that HFT increases market efficiency by leveling midpoints between Euronext Paris and Bats Chi-X Europe. On the basis of a crosscountry event study, we analyze the effect of the German HFT Act. We observe that the midpoint dispersion of blue chip securities between the two leading venues Deutsche Boerse and Bats Chi-X Europe increased. We conclude that HFT increases market efficiency in the European market landscape by transmitting information between distant markets.

scholarly journals Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions

2014 ◽  
Vol 55 (3) ◽  
pp. 705-732 ◽  
Author(s):  
David Cohen ◽  
Ludwig Gauckler ◽  
Ernst Hairer ◽  
Christian Lubich
Keyword(s):  
Hamiltonian Systems ◽  
Oscillatory Hamiltonian Systems ◽  
Numerical Integrators ◽  
Term Analysis

Long-term results after the application of the high-frequency endovenous electric welding on the trombosed great saphenous veins of lower extremities according to morphological and ultrasonography data

2019 ◽  
Vol 0 (3) ◽  
pp. 46-50
Author(s):  
S. І. Savoliuk ◽  
R. А. Herashchenko ◽  
V. А. Khodos ◽  
V. S. Horbovets ◽  
A. Yu. Glagoleva
Keyword(s):  
High Frequency ◽  
Lower Extremities ◽  
Long Term Results ◽  
Electric Welding ◽  
Saphenous Veins
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