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Random Walks And Random Environments
1995Abstract This is the first volume of a two-volume work devoted to probability theory in physics, physical chemistry and engineering. This volume provides an introduction to the problem of "random walk" and its applications. In its simplest form, the random walk describes the motion of an idealized drunkard and is a discrete analogue of ...
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Directed random walks in random environments
Journal of Statistical Physics, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buffet, E., Hannigan, P.
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Random environments and stochastic calculus
Theoretical Population Biology, 1977Abstract This paper investigates the use of heuristically derived stochastic differential equations (SDEs) as models in population biology. It is stressed that these equations are best viewed as approximations for more realistic, but often analytically intractable, models.
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Branching random walks in random environment
2021We consider branching particle processes on discrete structures like the hypercube in a random fitness landscape (i.e. random branching/killing rates). The main question is about the location where the main part of the population sits at a late time, if the state space is large. For answering this, we take the expectation with respect to the migration (
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Regulated growth in random environments
Journal of Mathematical Biology, 1976Conditions for extinction, convergence to a stationary distribution and attaining a carrying capacity are given for stochastic versions of the logistic growth process.
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Search in unknown random environments
Physical Review E, 2010N searchers are sent out by a source in order to locate a fixed object which is at a finite distance D, but the search space is infinite and D would be in general unknown. Each of the searchers has a finite random lifetime, and may be subject to destruction or failures, and it moves independently of other searchers, and at intermediate locations some ...
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Persistent random walks in random environment
Probability Theory and Related Fields, 1986A persistent random walk is a Markov - chain of order two on \({\mathbb{Z}}^ d\), having transition probabilities \[ {\mathcal P}(X_{n+1}=z+u'| X_ n=z,\quad X_{n-1}=z-u)=\gamma^{(z)}_{u,u'}. \] The persistency matrices \(\gamma^{(z)}\) are random and the collection of them forms the random environment.
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Random Walk In A Random Environment
1996Abstract We now turn from steady-state conduction problems to problems in which a time-evolving random process takes place in a random environment. Our discussion here is restricted to processes on lattices, and in the main to one spatial dimension.
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Random walks and random environments, vol. 2, random environments
Journal of Statistical Physics, 1997openaire +1 more source
Random Jumps in Evolving Random Environment
2008Abstract. We consider a particle moving in Rd according to a jump Markov process and interacting with an evolving random environment. The latter is represented by a stationary Glauber type dynamics in the continuum. Assuming a low activity { high temperature regime for the Glauber dynamics and small coupling between particle and environment, we obtain ...
BOLDRIGHINI, Carlo +4 more
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