In this paper, we initiate a systematic study of entanglements division fields from group theoretic perspective. For positive integer n n and...

We add a random bulk term, modeling the interaction with the impurities of the medium, to a standard functional in the gradient theory of phase transitions consisting of a gradient term with a double-well potential. For the resulting functional we study the asymptotic properties of minimizers and minimal energy under a rescaling in space, i.e., on the macroscopic scale. By bounding the energy f...

In order to image complex geological structures, seismic surveys acquire an increasingly large amount of data. While the resulting data sets enable higher-resolution images of the subsurface, they also contain redundant information and require large computational resources for processing. One approach for mitigating this trend is blended imaging, which combines the original shot records into a ...

For any cofinite Fuchsian group Γ ⊂ mathvariant...

We apply the Wang-Landau method to the study of the critical behavior of the three dimensional Random Field Ising Model with a bimodal probability distribution. For high values of the random field intensity we find that the energy probability distribution at the transition temperature is double peaked, suggesting that the phase transition is first order. On the other hand, the transition looks ...

We derive bounds on the mean oscillation of decreasing rearrangement f ∗ f^* </inline-fo...

In this paper, we study complete self-shrinkers in Euclidean space and prove that an n n -dimensional self-shrinker alttext="double-struck upp...

background: despite some successful dynamic simulation of self-impact double pendulum (sidp)-as humanoid robots legs or arms- studies, there is limited information available about the control of one leg locomotion. objective   : the main goal of this research is to improve the reliability of the mammalians leg locomotion and building more elaborated models close to the natural movements, by mod...

The transition into full-time training represents a key period in the development of young soccer players. Here we compared weekly loads (matches, field-, and resistance-training) English Premier-League Academy players from under-16 (U16), under-18 (U18) under-23 (U23) age-groups during meso-cycle. Forty (U16 n = 13, U18 15 U23 12) were monitored using global navigation satellite systems differ...