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oai:www.ideals.illinois.edu:2142/44384 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

DeVille, Robert E. Sowers, Richard B. DeVille, Robert E. Bronski, Jared C. Rapti, Zoi Bonnell, Christopher 2013-05-24T22:09:50Z 2013-05-24T22:09:50Z 2013-05 2013-05-24T22:09:50Z 2013-05 Using the SISR asymptotic, a classification of a class of scale-separated stochastic differential equations is achieved using combinatorics and formal language theory. This is extended to a topological notion of temperature and qualitative results regarding the relatedness of scale separated stochastic dynamical systems by changes in temperature. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-04-16T12:54:35Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Bonnell_Christopher.pdf: 925215 bytes, checksum: 19ab1a601dc53ca0319378c8cb2fb268 (MD5) Bonnell_Christopher.pdf: 945183 bytes, checksum: 0b39f7f4bda3ef02536dffea880cfa7f (MD5) Made available in DSpace on 2013-05-24T22:09:50Z (GMT). No. of bitstreams: 2 Christopher_Bonnell.pdf: 925215 bytes, checksum: 59c756b3936ae095d10de34d17c99483 (MD5) license.txt: 4069 bytes, checksum: afcb106ef50e1203deb3b195c066fdbd (MD5) http://hdl.handle.net/2142/44384 en Copyright 2013 Christopher Bonnell stochastic differential equation (SDE) combinatorics formal language applied mathematics SISR asymptotics scale-separated stochastic differential equation Combinatorics of a family of stochastic differential equations with an eye towards topological temperature text Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD