The present article is devoted to a theoretical study on Love wave vibration in a pre-stressed fluid-saturated anisotropic porous viscoelastic medium embedded over an inhomogeneous isotropic half-space influenced by gravity. The expression of dispersion has been achieved with the help of mathematical tools such as variable separable method and Whittaker’s function’s expansion under certain boun...

Attitude control refers to controlling the pitch and roll of a mobile robot. As environments grow more complex and cues to a robot’s pose sparser it becomes easy for a teleoperator using an egocentric (camera) display to lose situational awareness. Reported difficulties with teleoperated robots frequently involve rollovers and sometimes even failure to realize that a robot has rolled over. Atti...

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We calculate holographically arbitrary n-point correlators of the boundary stress tensor in three-dimensional Einst...

We show in this Letter that gravity coupled to a massless scalar field with full cylindrical symmetry can be exactly quantized by an extension of the techniques used in the quantization of Einstein-Rosen waves. This system provides a useful test bed to discuss a number of issues in quantum general relativity, such as the emergence of the classical metric, microcausality, and large quantum gravi...

Gravity Equations are broadly used to estimate the impacts of trade impediments on trade flows. It is often stated that results are implausibly high. In theoretical foundations of the gravity equation, trade costs usually enter as "icebergmelting-costs". This paper offers an alternative approach to model trade costs. From a microeconomic point of view, trade costs should depend on trade input p...

We calculate, in the context of higher dimensional gravity, the stress-energy tensor and Weyl anomaly associated with anti-de Sitter and anti-de Sitter black hole solutions. The boundary counter-term method is used to regularize the action and the resulting stress-energy tensor yields both the correct black hole energies as well as a vacuum energy contribution which is interpreted as a Casimir ...

In this thesis we study random planar graphs and some of the tools and techniques used to address some related combinatorial problems. We give an account of generating function methods, mainly focusing on some analytic aspects of generating functions. Namely, we discuss the so-called singularity analysis process, a technique that allows the transfer of the singular behaviour of certain function...