Path-integral formulation for Levy flights: Evaluation of the propagator for free, linear, and harmonic potentials in the over- and underdamped limits

Levy flights can be described using a Fokker-Planck equation, which involves a fractional derivative operator in the position coordinate. Such an operator has its natural expression in the Fourier domain. Starting with this, we show that the solution of the equation can be written as a Hamiltonian path integral. Though this has been realized in the literature, the method has not found applications as the path integral appears difficult to evaluate. We show that a method in which one integrates over the position coordinates first, after which integration is performed over the momentum coordinates, can be used to evaluate several path integrals that are of interest. Using this, we evaluate the propagators for (a) free particle, (b) particle subjected to a linear potential, and (c) harmonic potential. In all the three cases, we have obtained results for both overdamped and underdamped cases. DOI: 10.1103/PhysRevE.86.061105

Clustering using Levy Flight Cuckoo Search

In this paper, a comparative study is carried using three nature-inspired algorithms namely Genetic Algorithm (GA), Particle Swarm Optimization (PSO) and Cuckoo Search (CS) on clustering problem. Cuckoo search is used with levy flight. The heavy-tail property of levy flight is exploited here. These algorithms are used on three standard benchmark datasets and one real-time multi-spectral satellite dataset. The results are tabulated and analysed using various techniques. Finally we conclude that under the given set of parameters, cuckoo search works efficiently for majority of the dataset and levy flight plays an important role.

Unusual eigenvalue spectrum and relaxation in the Levy-Ornstein-Uhlenbeck process

We consider the rates of relaxation of a particle in a harmonic well, subject to Levy noise characterized by its Levy index mu. Using the propagator for this Levy-Ornstein-Uhlenbeck process (LOUP), we show that the eigenvalue spectrum of the associated Fokker-Planck operator has the form (n + m mu)nu where nu is the force constant characterizing the well, and n, m is an element of N. If mu is irrational, the eigenvalues are all nondegenerate, but rational mu can lead to degeneracy. The maximum degeneracy is shown to be 2. The left eigenfunctions of the fractional Fokker-Planck operator are very simple while the right eigenfunctions may be obtained from the lowest eigenfunction by a combination of two different step-up operators. Further, we find that the acceptable eigenfunctions should have the asymptotic behavior vertical bar x vertical bar(-n1-n2 mu) as vertical bar x vertical bar -> infinity, with n(1) and n(2) being positive integers, though this condition alone is not enough to identify them uniquely. We also assert that the rates of relaxation of LOUP are determined by the eigenvalues of the associated fractional Fokker-Planck operator and do not depend on the initial state if the moments of the initial distribution are all finite. If the initial distribution has fat tails, for which the higher moments diverge, one can have nonspectral relaxation, as pointed out by Toenjes et al. Phys. Rev. Lett. 110, 150602 (2013)].

What Drives Venture Capital Fundraising in India: An Empirical Analysis of Systematic and Non-Systematic Factors

In this paper, we develop a consolidated Supply-Demand framework of the Venture Capital (VC) ecosystem for India. Further, we empirically analyze the supply side of this ecosystem to ascertain the influence of systematic (macro) and non-systematic (micro) factors on VC fundraising. At the macro level, our results indicate that relatively strong fundamentals of the Indian economy in the past decade as compared with the severe recessionary tendencies in the developed economies have been critical in determining the aggregate volume of VC fundraising. Among the micro factors, past performance and reputation of the individual fund managers have been instrumental in determining their fund raising potential.

La reinserción social de los ex-presidiarios en la Argentina de las primeras décadas del siglo XX : algunos comentarios biográficos sobre Jorge H. Frías, fundador del Patronato de Liberados y Excarcelados de la Capital Federal

Resumen: Este trabajo pretende avanzar sobre una problemática escasamente abordada por la historiografía jurídica y social argentina: la reinserción social de los egresados de las prisiones. Así, partiendo de la utilidad que tienen para la historiografía los estudios biográficos y de instituciones penitenciarias y post-penitenciarias, analizaremos algunos aspectos de la labor profesional de Jorge H. Frías, distinguido jurista, presidente de la Cámara de Apelaciones en lo Criminal y Correccional y fundador en 1918 de la primera institución de reinserción social de la Argentina: el Patronato de Liberados y Excarcelados de la Capital Federal. Esperamos que este breve trabajo contribuya a alentar la realización de otros estudios sobre diferentes aspectos del universo penitenciario argentino (directores de presidios, viajeros penitenciarios, congresos penitenciarios nacionales e internacionales, revistas de los funcionarios de prisiones, etc.) que aún hoy en día permanecen desconocidos.

La necesidad del capital social para el desarrollo económico

Muchas gracias por el interés. Como expresó el Dr. Resico en la presentación me he dedicado por muchos años a los temas relacionados con el capital social. Para exponer de forma ordenada daré primero una definición del capital social, así entendemos de qué estamos hablando. Cuando nos referimos al “capital social”, nos estamos refiriendo a normas y redes sociales que permiten que confiemos o nos fiemos de los demás y que colaboremos con ellos. Esa es la idea general de capital social. No es una idea muy pulida o acabada y podemos quedar con la impresión que, si la tratamos de definir con precisión absoluta, se nos escape. En el curso de doctorado utilicé mucho tiempo para ver cómo los economistas y otros, como los sociólogos y los politólogos, tratan de hilar más fino y definir más precisamente qué es el capital social, pero entrar en esto ahora nos llevaría demasiado tiempo, así que les propongo quedarnos con esa definición bastante general, para entender por lo menos al área a la que nos estamos refiriendo. Entonces, estamos pensando en normas y redes sociales que permiten el desarrollo de la confianza y de la colaboración.

Limitações ao capital estrangeiro em portais da internet

Consultoria Legislativa - Área XIV - Comunicação Social, Informática, Telecomunicações, Sistema Postal, Ciência e Tecnologia.