The chiral symplectic universality class

We report a numerical investigation of localization in the SU(2) model without diagonal disorder. At the band center, chiral symmetry plays an important role. Our results indicate that states at the band center are critical. States away from the band center but not too close to the edge of the spectrum are metallic as expected for Hamiltonians with symplectic symmetry.Comment: accepted in Proceedings of Localisation 2002 Conference, Tokyo, Japan (to be published as supplement of J. Phys. Soc. Japan

Trend Analysis of Temporal Nutrient Concentrations in the Illinois River Basin in Oklahoma and Arkansas

Environmental Scienc

Universality class of replica synchronization transition of smooth coupled map lattices in the presence of quenched disorder

Synchronization of two replicas of coupled map lattices for continuous maps is known to be in the multiplicative noise universality class. We study this transition in presence of identical quenched disorder in coupling in both replicas for coupled logistic and tent maps. We study one-dimensional, two-dimensional, and globally coupled cases. We observe a clear second-order transition with new exponents. The order parameter decays as $t^{-\delta}$ with $\delta=2$ for tent map and $\delta=3$ for logistic map in any dimension. The asymptotic order parameter grows as $\Delta^{\beta}$ with $\beta=2$ for the tent map and $\beta=3$ for the logistic map. The quenched disorder in coupling is a relevant perturbation for the replica synchronization of coupled map lattices. The critical exponents are different from that of the multiplicative noise universality class. We observe that the critical exponents are independent of dimensions and super-universal in nature

Quasiparticle localization in superconductors with spin-orbit scattering

We develop a theory of quasiparticle localization in superconductors in situations without spin rotation invariance. We discuss the existence, and properties of superconducting phases with localized/delocalized quasiparticle excitations in such systems in various dimensionalities. Implications for a variety of experimental systems, and to the properties of random Ising models in two dimensions, are briefly discussed.Comment: 10 page

Spectral Properties and Synchronization in Coupled Map Lattices

Spectral properties of Coupled Map Lattices are described. Conditions for the stability of spatially homogeneous chaotic solutions are derived using linear stability analysis. Global stability analysis results are also presented. The analytical results are supplemented with numerical examples. The quadratic map is used for the site dynamics with different coupling schemes such as global coupling, nearest neighbor coupling, intermediate range coupling, random coupling, small world coupling and scale free coupling.Comment: 10 pages with 15 figures (Postscript), REVTEX format. To appear in PR

A Study on the Association of Entrepreneurship Ecosystem with Financial Inclusion

Purpose: The purpose of this study is to examine the association of entrepreneurship ecosystem with financial inclusion, and to explore the potential ways in which the ecosystem can be leveraged to improve access to financial services for marginalized communities.   Theoretical framework: The study utilizes the ecosystem approach to entrepreneurship, which emphasizes the interdependence and interplay of various stakeholders in the entrepreneurial process. The study also draws on the concept of financial inclusion, which refers to the provision of affordable and accessible financial services to all individuals and businesses.   Design/methodology/approach: The study employs a mixed-methods approach, including a literature review, case studies, and surveys, to collect data from a variety of stakeholders in the entrepreneurship ecosystem.   Findings: The findings suggest that the entrepreneurship ecosystem plays a critical role in promoting financial inclusion. The ecosystem can be leveraged to increase access to financial services for marginalized communities through the development of innovative financial products and services, the creation of mentorship and networking opportunities, and the promotion of policies that encourage financial inclusion.   Research, practical and social implications: The study contributes to the understanding of the relationship between entrepreneurship and financial inclusion, and has implications for policymakers and practitioners seeking to promote financial inclusion through entrepreneurship. The findings can also inform the design and implementation of programs and policies aimed at promoting entrepreneurship and financial inclusion in marginalized communities.   Originality/value: The study is among the first to examine the association of entrepreneurship ecosystem with financial inclusion and to explore the potential ways in which the ecosystem can be leveraged to improve access to financial services for marginalized communities

Random Matrix Theory of a Chaotic Andreev Quantum Dot

A new universality class distinct from the standard Wigner-Dyson ones is identified. This class is realized by putting a metallic quantum dot in contact with a superconductor, while applying a magnetic field so as to make the pairing field effectively vanish on average. A random-matrix description of the spectral and transport properties of such a quantum dot is proposed. The weak-localization correction to the tunnel conductance is nonzero and results from the depletion of the density of states due to the coupling with the superconductor. Semiclassically, the depletion is caused by a a mode of phase-coherent long-range propagation of electrons and holes.Comment: minor changes, 4 REVTeX page