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DynaDiffuse: A Dynamic Diffusion Model for Continuous Time Constrained Influence Maximization
A Dynamic Diffusion Model Constrained Influence Maximization
2016/1/22
Studying the spread of phenomena in social networks is critical but still not fully solved. Existing influence max-imization models assume a static network, disregarding its evolution over time. We in...
TIME TO REACH STATIONARITY IN THE BERNOULLI-LAPLACE DIFFUSION MODEL
Markov chains eigenvalues Gelfand pairs Hahn polynomials
2015/7/14
TIME TO REACH STATIONARITY IN THE BERNOULLI-LAPLACE DIFFUSION MODEL.
Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity
Traveling Wave Solutions Reaction-Diffusion Model Criminal Activity
2015/7/14
We study a reaction-diffusion system of partial differential equations, which can be taken to be a basic model for criminal activity, first introduced in [3]. We show that the assumption of a populati...
Species dynamics in the two-parameter Poisson-Dirichlet diffusion model
alpha diversity infinite-alleles model infinite dimensional dimensional diffusion mutation rate Poisson-Dirichlet distribution weak convergence
2013/6/14
The recently introduced two-parameter infinitely-many neutral alleles model extends the celebrated one-parameter version, related to Kingman's distribution, to diffusive two-parameter Poisson-Dirichle...
Some Exact Self-Similar Solutions to a Density-Dependent Reaction-Diffusion Model
Exact Self-Similar Density-Dependent Reaction-Diffusion Model Biological Physics
2012/4/20
In this paper, we investigated a density-dependent reaction-diffusion equation, $u_t = (u^{m})_{xx} + u - u^{m}$. This equation is known as the extension of the Fisher or Kolmogoroff-Petrovsky-Piscoun...
A branching diffusion model of selection: from the neutral Wright-Fisher case to the one including mutations
Diffusions Doob transform killing, branching quasi-stationarity Wright-Fisher model neutral or with mutation selection
2011/10/8
Abstract: We consider diffusion processes x_{t} on the unit interval. Doob-transformation techniques consist of a selection of x_{t}-paths procedure. The law of the transformed process is the one of a...
Nonparametric Estimation of Second-Order Jump-Diffusion Model
Second-order jump-diffusion N-W estimator Weak consistency
2011/7/6
We study the nonparametric estimators of the infinitesimal coefficients of the second-order jump-diffusion models. Under the mild conditions, we obtain the weak consistency and the asymptotic normalit...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation
2010/12/28
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
Asymptotic bifurcation analysis wave-pinning reaction-diffusion model
2011/1/5
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Large deviations of the empirical currents for a boundary driven reaction diffusion model
Large deviations Interacting particle system
2010/11/29
We derive a large deviation principle for the empirical currents of lattice gas dynamics which combine a fast stirring mechanism (Symmetric Simple Exclusion Process) and creation/annihilation mechanis...
Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model
Finite Gelfand pair Ehrenfest diffusion model complex reflection group
2010/12/1
A classical diffusion model of Ehrenfest which consists of 2-urns and n-balls is realized by a finite Gelfand pair (Hn, Sn), where Hn is the hyperoctahedral group and Sn is the symmetric group. This f...
Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusion model forward PIDE
2010/10/19
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusionmodel forward PIDE asymp-totic expansion
2010/4/27
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
Predictability of extreme events in a branching diffusion model
extreme events branching diffusion model
2010/4/6
We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- hierarchical structure, spatial dynamics, and external driving -- are combined in ...