Chaos in a predator-prey system with impulsive perturbations and stage structure for the predator.
A discrete economic growth model with endogenous labor.
A discrete heterogeneous-group economic growth model with endogenous leisure time.
A discrete two-sector economic growth model.
A discrete monetary economic growth model with the MIU approach.
Growth, technology, and environmental change -- nonlinearity and non-constant returns.
Sur les jacobiennes des courbes à singularités ordinaires.
Revêtements étales abéliens de courbes génériques et ordinarité
Nonlinearity in social dynamics -- order versus chaos.
Ridge estimation of covariance matrix from data in two classes
This paper deals with the problem of estimating a covariance matrix from the data in two classes: (1) good data with the covariance matrix of interest and (2) contamination coming from a Gaussian distribution with a different covariance matrix. The ridge penalty is introduced to address the problem of high-dimensional challenges in estimating the covariance matrix from the two-class data model. A ridge estimator of the covariance matrix has a uniform expression and keeps positive-definite, whether...
Chebyshev bounds for Beurling numbers
The first author conjectured that Chebyshev-type prime bounds hold for Beurling generalized numbers provided that the counting function N(x) of the generalized integers satisfies the L¹ condition for some positive constant A. This conjecture was shown false by an example of Kahane. Here we establish the Chebyshev bounds using the L¹ hypothesis and a second integral condition.
Optimality of Chebyshev bounds for Beurling generalized numbers
If the counting function N(x) of integers of a Beurling generalized number system satisfies both and , then the counting function π(x) of the primes of this system is known to satisfy the Chebyshev bound π(x) ≪ x/logx. Let f(x) increase to infinity arbitrarily slowly. We give a construction showing that and do not imply the Chebyshev bound.
Normality criteria of Lahiri's type and their applications.
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