Solitons and giants in matrix models

We present a method for solving BPS equations obtained in the collective-field approach to matrix models. The method enables us to find BPS solutions and quantum excitations around these solutions in the one-matrix model, and in general for the Calogero model. These semiclassical solutions correspond to giant gravitons described by matrix models obtained in the framework of AdS/CFT correspondence. The two-field model, associated with two types of giant gravitons, is investigated. In this duality-based matrix model we find the finite form of the $n$-soliton solution. The singular limit of this solution is examined and a realization of open-closed string duality is proposed.Comment: 17 pages, JHEP cls; v2: final version to appear in JHEP, 2 references added, physical motivation and interpretation clarifie

Multi-vortex solution in the Sutherland model

We consider the large-$N$ Sutherland model in the Hamiltonian collective-field approach based on the $1/N$ expansion. The Bogomol'nyi limit appears and the corresponding solutions are given by static-soliton configurations. They exist only for \l<1, i.e. for the negative coupling constant of the Sutherland interaction. We determine their creation energies and show that they are unaffected by higher-order corrections. For \l=1, the Sutherland model reduces to the free one-plaquette Kogut-Susskind model.Comment: Latex, using ioplppt.sty, 11 page

Human Vector-Borne Transmissible Parasitic Diseases in Montenegro

Montenegro is an endemic country for a significant number of vector-borne diseases (VBD). Natural conditions and geographical position (Mediterranean area) are favorable for the existence of the disease, and its expansion (1). Current vector-borne transmissible parasitic infections that haves been registered in Montenegro includes: leishmaniasis, babesiosis, malaria, and filariasis (dirofilariasis)

How to achieve various gait patterns from single nominal

In this paper is presented an approach to achieving on-line modification of nominal biped gait without recomputing entire dynamics when steady motion is performed. Straight, dynamically balanced walk was used as a nominal gait, and applied modifications were speed-up and slow-down walk and turning left and right. It is shown that the disturbances caused by these modifications jeopardize dynamic stability, but they can be simply compensated to enable walk continuation

Solitons and fractional statistics

Solitons in the continuum limit of the Calogero model are derived and shown to correspond to one-particle excitations. The statistical mechanics of exclusion statistics particles is then formulated in terms of a priori probabilities and a path integral is thereoff constructed. (Talk delivered at the Trieste April 1995 Conference on statistical mechanics and QFT and at the Oslo August 1995 Worskhop on low-dimensional systems.)Comment: 7 pages, Latex, no figures; References correcte

III-V Nanowire MOSFET High-Frequency Technology Platform

This thesis addresses the main challenges in using III-V nanowireMOSFETs for high-frequency applications by building a III-Vvertical nanowire MOSFET technology library. The initial devicelayout is designed, based on the assessment of the current III-V verticalnanowire MOSFET with state-of-the-art performance. The layout providesan option to scale device dimensions for the purpose of designing varioushigh-frequency circuits. The nanowire MOSFET device is described using1D transport theory, and modeled with a compact virtual source model.Device assessment is performed at high frequencies, where sidewall spaceroverlaps have been identified and mitigated in subsequent design iterations.In the final stage of the design, the device is simulated with fT > 500 GHz,and fmax > 700 GHz.Alongside the III-V vertical nanowire device technology platform, adedicated and adopted RF and mm-wave back-end-of-line (BEOL) hasbeen developed. Investigation into the transmission line parameters revealsa line attenuation of 0.5 dB/mm at 50 GHz, corresponding to state-ofthe-art values in many mm-wave integrated circuit technologies. Severalkey passive components have been characterized and modeled. The deviceinterface module - an interconnect via stack, is one of the prominentcomponents. Additionally, the approach is used to integrate ferroelectricMOS capacitors, in a unique setting where their ferroelectric behavior iscaptured at RF and mm-wave frequencies.Finally, circuits have been designed. A proof-of-concept circuit, designedand fabricated with III-V lateral nanowire MOSFETs and mm-wave BEOL, validates the accuracy of the BEOL models, and the circuit design. Thedevice scaling is shown to be reflected into circuit performance, in aunique device characterization through an amplifier noise-matched inputstage. Furthermore, vertical-nanowire-MOSFET-based circuits have beendesigned with passive feedback components that resonate with the devicegate-drain capacitance. The concept enables for device unilateralizationand gain boosting. The designed low-noise amplifiers have matching pointsindependent on the MOSFET gate length, based on capacitance balancebetween the intrinsic and extrinsic capacitance contributions, in a verticalgeometry. The proposed technology platform offers flexibility in device andcircuit design and provides novel III-V vertical nanowire MOSFET devicesand circuits as a viable option to future wireless communication systems

Dynamical and Quenched Random Matrices and Homolumo Gap

We consider a rather general type of matrix model, where the matrix M represents a Hamiltonian of the interaction of a bosonic system with a single fermion. The fluctuations of the matrix are partly given by some fundamental randomness and partly dynamically, even quantum mechanically. We then study the homolumo-gap effect, which means that we study how the level density for the single-fermion Hamiltonian matrix M gets attenuated near the Fermi surface. In the case of the quenched randomness (the fundamental one) dominating the quantum mechanical one we show that in the first approximation the homolumo gap is characterized by the absence of single-fermion levels between two steep gap boundaries. The filled and empty level densities are in this first approximation just pushed, each to its side. In the next approximation these steep drops in the spectral density are smeared out to have an error-function shape. The studied model could be considered as a first step towards the more general case of considering a whole field of matrices - defined say on some phase space - rather than a single matrix.Comment: 15 pages, 2 figures; v2. substantial improvements, published in IJMP