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In addition to providing general criteria for recurrent and transient switching diffusions, for processes that are linearizable with respect to the continuous component, easily verifiable conditions are established. Also provided are conditions for null-recurrent processes. Furthermore, conditions for controlled switching diffusions in which the feedback controls ensure weak stability (or ergodicity) are given. Finally, simple examples are used for demonstration.<\/jats:p>","DOI":"10.1137\/080712532","type":"journal-article","created":{"date-parts":[[2009,6,10]],"date-time":"2009-06-10T18:07:45Z","timestamp":1244657265000},"page":"2003-2031","source":"Crossref","is-referenced-by-count":44,"title":["On Strong Feller, Recurrence, and Weak Stabilization of Regime-Switching Diffusions"],"prefix":"10.1137","volume":"48","author":[{"given":"C.","family":"Zhu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G.","family":"Yin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,6,10]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1540-6261.1987.tb02569.x"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1999.6610"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176995476"},{"key":"R4","doi-asserted-by":"crossref","unstructured":"E. 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