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Diversity and Arbitrage in a Regulatory Breakup Model
Diversity Arbitrage Regulatory Breakup Model
2010/4/27
In 1999 Robert Fernholz observed an inconsistency between the normative assumption of existence of an equivalent martingale measure (EMM) and the empirical reality of diversity in equity markets. We e...
Chaotic Transport in the Symmetry Crossover Regime with a Spin-orbit Interaction
Gaussian Symplectic Ensemble chaotic quantum transport Gaussian Orthogonal Ensemble
2010/4/6
We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a ...
Computational Modelling of Nonlinear Calcium Waves
Nonlinear Calcium Waves Computational Modelling reaction-diffusion process
2010/4/6
The calcium transport in biological systems is modelled as a reaction-diffusion process. Nonlinear calcium waves are then simulated using a stochastic cellular automaton whose rules are derived from t...
Characterization of Multispecies Living Ecosystems With Cellular Automata
multispecies artificial ecosystem food chain hierarchy Cellular Automata
2010/4/6
A multispecies artificial ecosystem is formulated using cellular automata with species interactions and food chain hierarchy. The constructed finite state automaton can simulate the complexity and sel...
We uncover and characterize different chaotic transport scenarios on perfect periodic surfaces by controlling the chaotic dynamics of particles subjected to periodic external forces in the absence of ...
A small-world cellular automaton network has been formulated to simulate the long-range interactions of complex networks using unconventional computing methods in this paper. Conventional cellular aut...
Hedging under arbitrage
arbitrage delta hedging
2010/4/27
It is shown that delta hedging provides the optimal trading strategy in terms of minimal required initial capital to replicate a given terminal payoff in a continuous-time Markovian context. This hold...
A nonlinear small-world network model has been presented to investigate the effect of nonlinear interaction and time delay on the dynamic properties of small-world networks. Both numerical simulations...
The Problem of Modeling of Economic Dynamics (new version)
Economic Dynamics exponential growth
2010/4/27
The correctness of Harrods model in the differential form is studied. The inadequacy of exponential growth of economy is shown; an alternative result is obtained. By example of Phillips model, an appr...
3D Dune Dynamics as a Coupled Dynamics of 2D Cross-Sections
2D Cross-Sections 3D Dune Dynamics wind direction
2010/4/2
To analyze theoretically the stability of the shape and the migration process of transverse dunes and barchans, we propose a {\it skeleton model} of 3D dunes described with coupled dynamics of 2D cros...
Emergence from Symmetry: A New Type of Cellular Automata
Cellular Automata universal computation
2010/4/2
In this paper, a different perspective of constructing the CA models is proposed. The kernel, Local Symmetric Distribution Principle, relates some fundamental concepts in physics, which maybe raise a ...
The Multi-monopole Equations for K\"ahler Surfaces
Multi-monopole Equations K\"ahler Surfaces
2010/3/17
The purpose of this paper is to introduce a natural generalization of the Seiberg-Witten equations having more than one Spinor field ("monopole") and to study the moduli space of solutions in the case...
Lectures on Seiberg-Witten Invariants。
Akbulut's corks and h-cobordisms of smooth, simply connected 4-manifolds
Akbulut's corks 4-manifolds h-cobordisms
2010/3/17
Akbulut's corks and h-cobordisms of smooth, simply connected 4-manifolds。
Removable singularities and a vanishing theorem for Seiberg-Witten invariants
Removable singularities Seiberg-Witten invariants
2010/3/17
Removable singularities and a vanishing theorem for Seiberg-Witten invariants。