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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>37</Volume>
				<Issue>No. 2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2011</Year>
					<Month>07</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>A PRELUDE TO THE THEORY OF RANDOM WALKS IN RANDOM ENVIRONMENTS</ArticleTitle><FirstPage>5</FirstPage>
			<LastPage>20</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>F. </FirstName>
					<LastName>REZAKHANLOU</LastName>
					<Affiliation></Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2009</Year>
					<Month>05</Month>
					<Day>26</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[A random walk on a lattice is one of the most fundamental models in  probability theory.
When the random walk is inhomogenous and its inhomogeniety comes from an ergodic stationary process, the walk is called a
 random walk in a random environment (RWRE).  The basic questions such as the law of large numbers (LLN), the central limit theorem (CLT),
and the large deviation principle (LDP) are not fully understood for RWRE. Some known results in the case of LLN and LDP are reviewed.
These results are closely related to the homogenization phenomenon
for Hamilton-Jacobi-Bellman equations when both space and time are discretized.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Random walk in a random environment</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">law of large numbers</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">large deviation principle</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">homogenization</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>