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Large Deviations Principle for Stochastic Delay Differential Equations with Super-linearly Growing Coefficients
We utilize the weak convergence method to establish the Freidlin–Wentzell large deviations principle (LDP) for stochastic delay differential...
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A Mathematical Model of Stroma-Supported Allometric Tumor Growth
Mounting empirical research suggests that the stroma, or interface between healthy and cancerous tissue, is a critical determinate of cancer...
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Gaps and approximations in the space of growth functions
An important problem in combinatorial noncommutative algebra is to give an asymptotic characterization the growth functions of finitely generated...
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Schreier’s Type Formulae and Two Scales for Growth of Lie Algebras and Groups
Let G be a free group of rank n and \(H\subset G\)...
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Scale for codimension growth of Poisson PI-algebras
A. Regev proved that the codimension growth of an associative PI-algebra is at most exponential. The author established a scale for the codimension...
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Hierarchically hyperbolic groups and uniform exponential growth
We give several sufficient conditions for uniform exponential growth in the setting of virtually torsion-free hierarchically hyperbolic groups. For...
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Partial regularity and nonlinear potential estimates for Stokes systems with super-quadratic growth
This paper builds a bridge between partial regularity theory and nonlinear potential theory for the following generalized stationary Stokes system...
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Modeling insect growth regulators for pest management
Insect growth regulators (IGRs) have been developed as effective control measures against harmful insect pests to disrupt their normal development....
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Growth Rates of the Number of Indecomposable Summands in Tensor Powers
In this paper we study the asymptotic behavior of the number of summands in tensor products of finite dimensional representations of affine...
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Super-Explosion and Inverse Canard Explosion in a Piecewise-Smooth Slow–Fast Leslie–Gower Model
In this paper, we study a slow–fast Leslie-type predator–prey model with piecewise-linear functional response. Our approach is based on the geometric...
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Analysis of mass controlled reaction–diffusion systems with nonlinearities having critical growth rates
We analyze semilinear reaction–diffusion systems that are mass controlled, and have nonlinearities that satisfy critical growth rates. The systems...
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On the generalized weak Harnack inequality for non-negative super-solutions of quasilinear elliptic equations with absorption term
We prove the generalized weak Harnack inequality for non-negative super-solutions to quasi- linear elliptic equations with the generalized Orlicz...
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Weak type (1, 1) of the Riesz transform on some direct product manifolds with exponential volume growth
In this paper, we are concerned with the Riesz transform on the direct product manifold ℍ n × M , where ℍ n is the n -dimensional real hyperbolic space...
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Volume growth, capacity estimates, p-parabolicity and sharp integrability properties of p-harmonic Green functions
In a complete metric space equipped with a doubling measure supporting a p -Poincaré inequality, we prove sharp growth and integrability results for p -...
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Sign-changing solutions for fractional Kirchhoff equations with cubic growth in bounded domains
In this paper, we consider the existence and nonexistence of sign-changing solutions for fractional Kirchhoff equation with cubic growth in bounded...