Title:
On Almost Automorphic Dynamics in Symbolic Lattices
On Almost Automorphic Dynamics in Symbolic Lattices
| dc.contributor.author | Berger, Arno | |
| dc.contributor.author | Siegmund, Stefan | |
| dc.contributor.author | Yi, Yingfei | |
| dc.contributor.corporatename | Georgia Institute of Technology. School of Mathematics | |
| dc.contributor.corporatename | Georgia Institute of Technology. Southeast Applied Analysis Center | |
| dc.contributor.corporatename | University of Minnesota. Institute for Mathematics and Its Applications | |
| dc.date.accessioned | 2009-08-07T20:42:29Z | |
| dc.date.available | 2009-08-07T20:42:29Z | |
| dc.date.issued | 2002 | |
| dc.description | 1991 Mathematics Subject Classification. Primary Primary 37B10, 37A35, 43A60; Secondary 37B20, 54H20. | en |
| dc.description.abstract | We study the existence, structure, and topological entropy of almost automorphic arrays in symbolic lattice dynamical systems. In particular we show that almost automorphic arrays with arbitrarily large entropy are typical in symbolic lattice dynamical systems. Applications to pattern formation and spatial chaos in infinite dimensional lattice systems are considered, and the construction of chaotic almost automorphic signals is discussed. | en |
| dc.description.sponsorship | The first author was supported by a Max Kade Postdoctoral Fellowship (at Georgia Tech). The second author was partially supported by DFG grant Si 801 and CDSNS, Georgia Tech. The third author was partially supported by NSF Grant DMS-0204119. | en |
| dc.identifier.uri | http://hdl.handle.net/1853/29477 | |
| dc.language.iso | en_US | en |
| dc.publisher | Georgia Institute of Technology | en |
| dc.relation.ispartofseries | CDSNS2002-386 | en |
| dc.subject | Almost automorphic arrays | en |
| dc.subject | Chaotic signals | en |
| dc.subject | Lattice systems | en |
| dc.subject | Symbolic dynamics | en |
| dc.subject | Toeplitz arrays | en |
| dc.title | On Almost Automorphic Dynamics in Symbolic Lattices | en |
| dc.type | Text | |
| dc.type.genre | Pre-print | |
| dspace.entity.type | Publication | |
| local.contributor.corporatename | College of Sciences | |
| local.contributor.corporatename | School of Mathematics | |
| relation.isOrgUnitOfPublication | 85042be6-2d68-4e07-b384-e1f908fae48a | |
| relation.isOrgUnitOfPublication | 84e5d930-8c17-4e24-96cc-63f5ab63da69 |