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The birth of random evolutions (Q2124371)

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Language	Label	Description	Also known as
English	The birth of random evolutions	scientific article

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scholarly article

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The birth of random evolutions (English)

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The Mathematical Intelligencer

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publication date

9 April 2022

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MaRDI profile type

MaRDI publication profile

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The ergodic theorem for Poisson processes on a compact group with applications to random evolutions

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Wave propagation in imperfectly periodic structures: A random evolution approach

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Stochastic prey-predator relationships: A random differential equation approach

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Random evolutions and stochastic compartments

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Homogenization and random evolutions: applications to the mechanics of composite materials

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Random integral equations

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The geometry of coupled mode propagation in one‐dimensional random media

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Les solutions non négatives d'un système parabolique d'équations

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A uniform theory for sums of Markov chain transition probabilities

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Markov chains in random environments: The case of Markovian environments

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Recurrence vs. transience for spatially inhomogeneous birth and death in a random environment

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The ergodic theory of Markov chains in random environments

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On determining absorption probabilities for Markov chains in random environments

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Birth and death processes with random environments in continuous time

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Random evolutions and the spectral radius of a non-negative matrix

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Random evolutions in discrete and continuous time

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Eigenvalue inequalities for products of matrix exponentials

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A Branching Random Evolution and a Nonlinear Hyperbolic Equation

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Limit theorems for random evolutions with explicit error estimates

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The first and second fluid approximation to the linearized Boltzmann equation

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ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION

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An Invariance Principle for a Class of d-Dimensional Polygonal Random Functions

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The central limit theorem for random motions of d-dimensional Euclidean space

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Strong approximation of diffusion processes by transport processes

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Limit theorems for a class of multiplicative operator functionals of Brownian motion

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Almost Sure Convergence of Uniform Transport Processes to Brownian Motion

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RANDOM EVOLUTIONS, MARKOV CHAINS, AND SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

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Theory of Random Evolutions with Applications to Partial Differential Equations

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On principal eigenvalues for random evolutions

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Asymptotics for certain Wiener integrals associated with higher order differential operators

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The operator-valued Feynman-Kac formula with noncommutative operators

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A Class of "Central Limit Theorems" For Convolution Products of Generalized Functions

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Maxwell's Coefficients are Conditional Probabilities

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Random evolutions: A survey of results and problems

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Non‐commuting random evolutions, and an operator‐valued Feynman‐Kac formula

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Random evolutions are asymptotically gaussian

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The central limit theorem for additive functionals of Markov processes and the weak convergence to Wiener measure

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Wiener and integration in function spaces

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A stochastic model related to the telegrapher's equation

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Probabilistic methods in some problems of scattering theory

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Differential equations in which the Poisson process plays a role

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Perturbation theory for backward and forward random evolutions

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Limit theorems for discontinuous random evolutions with applications to initial value problems and to Markov processes on N lines

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Perturbed Semigroup Limit Theorems with Applications to Discontinuous Random Evolutions

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Random evolutions with underlying semi-Markov processes

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Limit theorems for semigroups with perturbed generators, with applications to multiscaled random evolutions

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On Stochastic Processes Defined by Differential Equations with a Small Parameter

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Stochastic Liouville Equations

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A Random Trotter Product Formula

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A limit theorem for perturbed operator semigroups with applications to random evolutions

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Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics

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Classical Noise IV: Langevin Methods

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Mean power transmission through a slab of random medium

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Motion of a Particle in a Random Field

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Wave Propagation in a One-Dimensional Random Medium

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A kinetic theory for power transfer in stochastic systems

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Asymptotic analysis of transport processes

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Stochastic Equations and Their Applications

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Some probabilistic problems and methods in singular perturbations

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Stochastic Differential Equations with Applications to Random Harmonic Oscillators and Wave Propagation in Random Media

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Asymptotic analysis of deterministic and stochastic equations with rapidly varying components

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Asymptotic theory of mixing stochastic ordinary differential equations

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A stochastic Gaussian beam

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A limit theorem with strong mixing in banach space and two applications to stochastic differential equations

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Differential equations with a small parameter and the central limit theorem for functions defined on a finite Markov chain

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Multiplicative operator functionals of a Markov process

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Stochastic Integral Representation of Multiplicative Operator Functionals of a Wiener Process

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Random evolutions on diffusion processes

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Dynamic Programming and Minimum Principles for Systems with Jump Markov Disturbances

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Diffusion transforms

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Random Evolution Processes with Feedback

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Harmonic functions and the Dirichlet problem for revival Markov processes

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A central limit problem in random evolutions

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A stochastic integral representation for random evolutions

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Limit theorems for stationary random evolutions

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Identifiers

zbMATH Open document ID

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10.1007/BF02985641

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2124371

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