We show that, when one draws a simple conformal loop ensemble (CLE? for ??(8/3,4)) on an independent ?-Liouville quantum gravity (LQG) surface and explores the CLE in natural Markovian way, surfaces (e.g., corresponding to interior of loops) that are cut out form Poisson point process disks. This construction allows us make direct links between LQG, (4/?)-stable processes, labeled branching tre...

2 Stochastic optimal control (discrete time) 2 2.1 The Linear-quadratic-Gaussian (LQG) case . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Message passing in LQG . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Special case: kinematic control . . . . . . . . . . . . . . . . . . . . . . . . . ...

The instrumentation, i.e., sensors and actuators, in feedback control systems often contain nonlinearities, such as saturation, deadzone, quantization, etc. Standard synthesis techniques, however, assume that the actuators and sensors are linear. This technical note is intended to modify the LQR/LQG methodology into the so-called Instrumented LQR/LQG (referred to as ILQR/ILQG), which allows for...

This paper presents a new method for the control of Two linkrobotic manipulator systems using Linear-QuadraticGaussian (LQG), in This method Linear-Quadratic-Gaussian (LQG) that is a modern state-space technique for designing optimal dynamic regulators by kalman used for the control of Two linkrobotic manipulator systems. The simulation result are very promising.

I consider the implications for brane-world scenarios of the rather robust quantum-gravity expectation that there should be a quantum minimum limit on the uncertainty of all physical length scales. In order to illustrate the possible significance of this issue, I observe that, according to a plausible estimate, the quantum limit on the length scales that characterize the bulk geometry could aff...

Recent work has shown that for $\gamma \in (0,2)$, a Liouville quantum gravity (LQG) surface can be endowed with canonical metric. We prove several results concerning geodesics this In particular, we completely classify the possible networks of from typical point on to an arbitrary surface, as well types joining two points which occur dense set pairs surface. This latter result is $\gamma$-LQG ...