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Central Limit Theorems
In the previous chapter, we have studied some random variables which come up naturally when a stationary Poisson hyperplane process is observed...
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Chapter 2 Abelian Integrals and Limit Cycles
In this chapter we will explain the relation between the number of zeros of the Abelian integrals and the number of limit cycles of the corresponding...
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ON THE UNIVERSAL COEFFICIENT FORMULA AND DERIVED LIMIT FUNCTOR
It is known that homology and inverse limit functors do not commute. In the paper, we consider this very problem and find its application for various...
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Discontinuous Map**s and the Limit Load in Boundary Value Problems of Nonlinear Elasticity
AbstractThe paper considers a boundary-value problem of nonlinear elasticity for a map** (deformation) in two weak formulations: in the form of a...
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Right-Angled Spaces and Groups
The notion of a “polyhedral product” of a collection of spaces (or pairs of spaces) indexed by the vertex set I of a simplicial complex L is used to...
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Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures
We consider an optimization problem for the eigenvalues of a multi-material elastic structure that was previously introduced by Garcke et al....
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Martingale Central Limit Theorem
The martingale central limit theorem provides convergence of suitably centered and scaled sums of martingale difference sequences having finite...
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On Limit Theorems for Functional Autoregressive Processes with Random Coefficients
AbstractIn this paper we consider a Banach space valued random coefficient autoregressive process. Our studies on this process involve existence,...
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On the structural instability of non-hyperbolic limit cycles on planar polynomial vector fields
It is known that non-hyperbolic limit cycles are structurally unstable in the set of planar smooth and analytic vector fields. In the polynomial...
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Renewed Limit Theorems for Noncritical Galton–Watson Branching Systems
The paper discusses the Galton–Watson stochastic branching system. We deal only with the noncritical case. Our task in the work is to improve our...
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On the high friction limit for the complete Euler system
We show that solutions of the complete Euler system of gas dynamics perturbed by a friction term converge to a solution of the porous medium equation...
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Thermodynamic Game and the Kac Limit in Quantum Lattices
A mathematically rigorous computation of the pressure and equilibrium states of important short-range quantum models on lattices (like the Hubbard...
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Semiclassical Analysis in the Limit Circle Case
We consider second order differential equations with real coefficients that are in the limit circle case at infinity. Using the semiclassical Ansatz,...
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Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System
We study the relaxation problem for a two-fluid Euler-Poisson system. We prove the global-in-time convergence of the system for smooth solutions near...
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Joint Sum-and-Max Limit for a Class of Long-Range Dependent Processes with Heavy Tails
We consider a class of stationary processes exhibiting both long-range dependence and heavy tails. Separate limit theorems for sums and for extremes...
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Anomalous diffusion limit for a kinetic equation with a thermostatted interface
We consider the limit of solutions of scaled linear kinetic equations with a reflection-transmission-killing condition at the interface. Both the...