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Now showing items 1-38 of 1

Title: Random matrix analysis of localization properties of gene coexpression network

Author: ; ; ;

Date: 2010

Submitted: 2020-08-11

(2010)

We analyze gene coexpression network under the random matrix
theory framework. The nearest-neighbor spacing distribution of
the adjacency matrix of this network follows Gaussian orthogonal
statistics of random matrix ...

Title: Effect of network structure on phase transitions in queuing networks

Author: ; ;

Date: 2012

Submitted: 2020-04-08

(2012)

Recently, De Martino et al. [J. Stat. Mech. (2009) P08023; Phys. Rev. E 79, 015101 (2009)] have presented a general framework for the study of transportation phenomena on random networks with annealed disorder. One of their ...

Title: Shortest path discovery of complex networks

Author: ; ;

Date: 2009

Submitted: 2020-04-07

(2009)

In this Rapid Communication we present an analytic study of sampled networks in the case of some important shortest-path sampling models. We present analytic formulas for the probability of edge discovery in the case of ...

Title: Distribution of edge load in scale-free trees

Author: ; ;

Date: 2006

Submitted: 2020-08-11

(2006)

Node betweenness has been studied recently by a number of authors, but until now less attention has been paid to edge betweenness. In this paper, we present an exact analytic study of edge betweenness in evolving scale-free ...

Title: Measuring the dynamical state of the Internet: Large-scale network tomography via the ETOMIC infrastructure

Author: ; ; ; ;

Date: 2006

Submitted: 2020-08-11

(2006)

In this paper we show how to go beyond the study of the
topological properties of the Internet, by measuring its
dynamical state using special active probing techniques and the
methods of network tomography. We demonstrate ...

Title: Quantum Biology on the Edge of Quantum Chaos

Author: ; ;

Date: 2014

Submitted: 2020-08-11

(2014)

We give a new explanation for why some biological systems can stay quantum coherent for a long time at room temperature, one of the fundamental puzzles of quantum biology. We show that systems with the right level of ...

Title: Measuring the dimension of partially embedded networks

Author: ; ; ;

Date: 2013

Submitted: 2020-08-10

(2013)

Scaling phenomena have been intensively studied during the past decade in the context of complex networks. As part of these works, recently novel methods have appeared to measure the dimension of abstract and spatially ...

Title: Scaling behavior in daily air humidity fluctuations

Author: ;

Date: 1994

Submitted: 2020-08-08

(1994)

Title: Inferring the interplay between network structure and market effects in Bitcoin

Author: ; ; ; ;

Date: 2014

Submitted: 2020-08-10

(2014)

A main focus in economics research is understanding the time series of prices of goods and assets. While statistical models using only the properties of the time series itself have been successful in many aspects, we expect ...

Title: Quantum criticality at the origin of life

Author: ; ; ; ;

Date: 2015

Submitted: 2020-08-10

(2015)

Title: Advection of Vector Fields by Chaotic Flows

Author: ; ; ; ;

Date: 1993

Submitted: 2020-08-08

(1993)

Title: ENTIRE FREDHOLM DETERMINANTS FOR EVALUATION OF SEMICLASSICAL AND THERMODYNAMICAL SPECTRA

Author: ;

Date: 1993

Submitted: 2020-08-08

(1993)

Proofs that Fredholm determinants of transfer operators for hyperbolic flows are entire can be extended to a large new class of multiplicative evolution operators. We construct such operators both for the Gutzwiller ...

Title: Transition From Poissonian TO Gaussian-orthogonal-ensemble Level Statistics IN A Modified Artins Billiard

Author: ; ; ;

Date: 1994

Submitted: 2020-08-08

(1994)

One wall of an Artin's billiard on the Poincare half-plane is replaced by a one-parameter (c(p)) family of nongeodetic walls. A brief description of the classical phase; space:of this system is given. In the quantum domain, ...

Title: A Fredholm determinant for semiclassical quantization

Author: ; ; ;

Date: 1993

Submitted: 2020-08-08

(1993)

We investigate a new type of approximation to quantum
determinants, the "quantum Fredholm determinant," and test
numerically the conjecture that for Axiom A hyperbolic flows
such determinants have a larger domain of ...

Title: AN ENTIRE SPECTRAL DETERMINANT FOR SEMICLASSICAL QUANTIZATION

Author:

Date: 1994

Submitted: 2020-08-08

(1994)

We show that the eigenvalues of the first order partial differential equation derived by quasi-classical approximation of the Schrodinger equation can be computed from the trace of a classical operator. The derived trace ...

Title: PERIODIC ORBIT THEORY OF DIFFRACTION

Author: ; ;

Date: 1994

Submitted: 2020-08-08

(1994)

An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic orbits which have arcs on the surface of ...

Title: Inclusion of Diffraction Effects in the Gutzwiller Trace Formula

Author: ; ;

Date: 1994

Submitted: 2020-08-08

(1994)

The Gutzwiller trace formula is extended to include diffraction effects. The new trace formula involves periodic rays which have non-geometrical segments as a result of diffraction on the surfaces and edges of the scatter.

Title: Bohr-Sommerfeld quantization of periodic orbits

Author:

Date: 1996

Submitted: 2020-08-08

(1996)

We show that the canonical invariant part of ii corrections to the Gutzwiller trace formula and the Gutzwiller-Voros spectral determinant can be computed by the Bohr-Sommerfeld quantization rules, which usually apply for ...

Title: Application of the diffraction trace formula to the three-disk scattering system

Author: ; ;

Date: 1996

Submitted: 2020-08-08

(1996)

The diffraction trace formula derived previously and the
spectral determinant are tested on the open three-disk
scattering system. The system contains a generic and
exponentially growing number of diffraction periodic ...

Title: Periodic orbit quantization of the Sinai billiard in the small scatterer limit

Author: ;

Date: 1998

Submitted: 2020-08-08

(1998)

We consider the semiclassical quantization of the Sinai billiard for disk radii R small compared with the wavelength 2 pi/k. Via the application of the periodic orbit theory of diffraction we derive the semiclassical ...

Title: Beyond the periodic orbit theory

Author: ; ; ;

Date: 1998

Submitted: 2020-08-08

(1998)

The global constraints on chaotic dynamics induced by the analyticity of smooth flows are used to dispense with individual periodic orbits and derive infinite families of exact sum rules for several simple dynamical systems. ...

Title: Trace formulas for stochastic evolution operators: Weak noise perturbation theory

Author: ; ; ;

Date: 1998

Submitted: 2020-08-08

(1998)

Periodic orbit theory is all effective tool for the analysis of classical and quantum chaotic systems. In this paper we extend this approach to stochastic systems, in particular to mappings with additive noise. The theory ...

Title: Trace formulae for stochastic evolution operators: smooth conjugation method

Author: ; ; ;

Date: 1999

Submitted: 2020-08-08

(1999)

The trace formula for the evolution operator associated with nonlinear stochastic flows with weak additive noise is cast in the path integral formalism. We integrate over the neighbourhood of a given saddlepoint exactly ...

Title: Scaling and intermittency in animal behaviour

Author: ; ; ;

Date: 2000

Submitted: 2020-08-08

(2000)

Title: Spectrum of stochastic evolution operators: Local matrix representation approach

Author: ; ; ; ;

Date: 1999

Submitted: 2020-08-08

(1999)

Title: Asymptotics of High Order Noise Corrections

Author: ; ; ;

Date: 2000

Submitted: 2020-08-08

(2000)

Title: Negative length orbits in normal-superconductor billiard systems

Author: ; ; ; ;

Date: 2000

Submitted: 2020-08-08

(2000)

The path-length spectra of mesoscopic systems including diffractive
scatterers and connected to a superconductor are studied theoretically.
We show that the spectra differ fundamentally from that of normal
systems due to ...

Title: Spectral determinant method for interacting N-body systems including impurities

Author: ; ;

Date: 2002

Submitted: 2020-08-08

(2002)

A general expression for the Green's function of a system of N particles (bosons/fermions) interacting by contact potentials, including impurities with Dirac-delta-type potentials, is derived. In one dimension for N>2 ...

Title: Excitation spectra for Andreev billiards of box and disk geometries

Author: ; ; ;

Date: 2002

Submitted: 2020-08-08

(2002)

We study Andreev billiards of box and disk geometries by matching the wave functions at the interface of the normal and the superconducting region using the exact solutions of the Bogoliubov-de Gennes equation. The mismatch ...

Title: Giant clusters in random ad hoc networks

Author: ;

Date: 2003

Submitted: 2020-08-08

(2003)

The connected components that were produced in random ad hoc networks were investigated. Based on the results, the number of nodes needed fora given connectivity ratio can be estimated. Thus, the results may hint about the ...

Title: On the propagation of congestion waves in the Internet

Author: ; ;

Date: 2006

Submitted: 2020-08-08

(2006)

Traffic modeling of communication networks such as the Internet has become a very important field of research. A number of interesting phenomena are found in measurements and traffic simulations. One of them is the propagation ...

Title: Diffraction in the Semiclassical Description of Mesoscopic Devices

Author: ; ; ;

Date: 1997

Submitted: 2020-08-07

(1997)

Title: Crossover from regular to chaotic behavior in the conductance of periodic quantum chains

Author: ; ;

Date: 1998

Submitted: 2020-08-07

(1998)

The conductance of a waveguide containing a finite number of periodically placed identical pointlike impurities is investigated. It has been calculated as a function of both the impurity strength and the number of impurities ...

Title: Turbulent helium gas cell as a new paradigm of daily meteorological fluctuations?

Author: ; ;

Date: 1998

Submitted: 2020-08-07

(1998)

Title: Trace formula for noise corrections to trace formulas

Author: ; ;

Date: 2001

Submitted: 2020-08-07

(2001)

The evolution operator for a discrete Langevin equation with a strongly hyperbolic classical dynamics and a Gaussian noise distribution was studied. Using an integral representation of the evolution operator L, the asymptotic ...

Title: Noise corrections to stochastic trace formulas

Author: ; ; ; ;

Date: 2001

Submitted: 2020-08-07

(2001)