scholarly journals An invariance principle for one-dimensional random walks among dynamical random conductances

2019 ◽  
Vol 24 (0) ◽  
Author(s):  
Marek Biskup
Keyword(s):  
Random Walks ◽  
Invariance Principle ◽  
One Dimensional ◽  
Random Conductances

scholarly journals Quenched invariance principle for random walks on dynamically averaging random conductances

2021 ◽  
Vol 26 (none) ◽  
Author(s):  
Stein Andreas Bethuelsen ◽  
Christian Hirsch ◽  
Christian Mönch
Keyword(s):  
Random Walks ◽  
Invariance Principle ◽  
Random Conductances

Computer Simulations for Some One-Dimensional Models of Random Walks in Fluctuating Random Environment

2005 ◽  
Vol 121 (3-4) ◽  
pp. 361-372 ◽  
Author(s):  
C. Boldrighini ◽  
G. Cosimi ◽  
S. Frigio ◽  
A. Pellegrinotti
Keyword(s):  
Random Walks ◽  
Computer Simulations ◽  
Random Environment ◽  
One Dimensional ◽  
Dimensional Models

On coupling of random walks and renewal processes

1996 ◽  
Vol 33 (1) ◽  
pp. 122-126
Author(s):  
Torgny Lindvall ◽  
L. C. G. Rogers
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Simple Random Walk ◽  
Renewal Processes ◽  
Renewal Theorem ◽  
One Dimensional ◽  
Continuous State Space ◽  
Continuous State ◽  
Efficient Coupling ◽  
Blackwell's Renewal Theorem

The use of Mineka coupling is extended to a case with a continuous state space: an efficient coupling of random walks S and S' in can be made such that S' — S is virtually a one-dimensional simple random walk. This insight settles a zero-two law of ergodicity. One more proof of Blackwell's renewal theorem is also presented.

scholarly journals A Quenched Invariance Principle for Certain Ballistic Random Walks in i.i.d. Environments

2008 ◽  
pp. 137-160 ◽  
Author(s):  
Noam Berger ◽  
Ofer Zeitouni
Keyword(s):  
Random Walks ◽  
Invariance Principle

scholarly journals One dimensional quantum walks with memory

2010 ◽  
Vol 10 (5&6) ◽  
pp. 509-524
Author(s):  
M. Mc Gettrick
Keyword(s):  
Markov Chain ◽  
Random Walk ◽  
Random Walks ◽  
Quantum Walks ◽  
One Dimensional ◽  
With Memory ◽  
Previous Step

We investigate the quantum versions of a one-dimensional random walk, whose corresponding Markov Chain is of order 2. This corresponds to the walk having a memory of one previous step. We derive the amplitudes and probabilities for these walks, and point out how they differ from both classical random walks, and quantum walks without memory.

scholarly journals One-dimensional quantum random walks with two entangled coins

2009 ◽  
Vol 79 (3) ◽  
Author(s):  
Chaobin Liu ◽  
Nelson Petulante
Keyword(s):  
Random Walks ◽  
Quantum Random Walks ◽  
One Dimensional

Invariance principle for nonhomogeneous random walks on the grid ℤ1

1999 ◽  
Vol 66 (3) ◽  
pp. 372-383
Author(s):  
D. A. Yarotskii
Keyword(s):  
Random Walks ◽  
Invariance Principle

scholarly journals A Log-scale Limit Theorem for One-dimensional Random Walks in Random Environments

2005 ◽  
Vol 10 (0) ◽  
pp. 244-253
Author(s):  
Alexander Roitershtein
Keyword(s):  
Limit Theorem ◽  
Random Walks ◽  
Random Environments ◽  
One Dimensional ◽  
Scale Limit
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