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31.
Pei-Sen Li 《数学学报(英文版)》2017,33(8):1021-1038
The nonlinear branching process with immigration is constructed as the pathwise unique solution of a stochastic integral equation driven by Poisson random measures. Some criteria for the regularity, recurrence, ergodicity and strong ergodicity of the process are then established. 相似文献
32.
LI JunPing & LIU ZaiMing School of Mathematical Science Computing Technology Central South University Changsha China 《中国科学 数学(英文版)》2011,(5)
We consider a modified Markov branching process incorporating with both state-independent immigration-migration and resurrection. The effect of state-independent immigration-migration is firstly in- vestigated in detail. The explicit expressions for the extinction probabilities and mean extinction times are presented. The ergodicity and stability properties of the process incorporating with resurrection structure are then investigated. The conditions for recurrence, ergodicity and exponential ergodicity are... 相似文献
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Fausto Di Biase Bert Fischer Rü diger L. Urbanke 《Proceedings of the American Mathematical Society》1998,126(5):1487-1490
It is known that the set of twist points in the boundary of the von Koch snowflake domain has full harmonic measure. We provide a new, simple proof, based on the doubling property of the harmonic measure, and on the existence of an equivalent measure, invariant and ergodic with respect to the shift.
36.
Mustansir Barma 《Pramana》1997,49(1):155-160
When the dynamics of a system partitions the phase space of configurations into very many disjoint sectors, we are faced with an assignment problem: Given a configuration, how can we tell which sector it belongs to? We study this problem in connection with the dynamics of deposition and evaporation ofk particles at a time, from a lattice substrate. Fork ≥ 3, the system shows complex behaviour: (a) The number of disjoint sectors in phase space grows exponentially with the size. (b) The asymptotic time dependence of the autocorrelation function shows slow decays, with power laws which depend on the sector. Both (a) and (b) are explained in terms of a nonlocal construct known as the irreducible string (IS), formed from a particle configuration by applying a deletion algorithm. The IS provides a label for sectors; the multiplicity of possible IS’s accounts for (a), and let us determine sector numbers and sizes. The elements of the IS are conserved; thus their motion is responsible for the slow modes of the system, and accounts for (b) as well. 相似文献
37.
We propose a new class of dynamic Monte Carlo algorithms for generating self-avoiding walks uniformly from the ensemble with fixed endpoints and fixed length in any dimension, and prove that these algorithms are ergodic in all cases. We also prove the ergodicity of a variant of the pivot algorithm. 相似文献
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廖山涛 《应用数学和力学(英文版)》1996,(9)
NOTESONASTUDYOFVECTORBUNDLEDYNAMICALSYSTEMS(Ⅱ)──PART1LiaoShantao(廖山涛)Abstract:Thestudyoflinearandglobal.propertiesoflineardyn... 相似文献
40.
Mateusz B. Majka 《Stochastic Processes and their Applications》2017,127(12):4083-4125
We present a novel idea for a coupling of solutions of stochastic differential equations driven by Lévy noise, inspired by some results from the optimal transportation theory. Then we use this coupling to obtain exponential contractivity of the semigroups associated with these solutions with respect to an appropriately chosen Kantorovich distance. As a corollary, we obtain exponential convergence rates in the total variation and standard -Wasserstein distances. 相似文献