317 citations
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5 papers · 1 filter
Toroidal normal forms for bifurcations in retarded functional differential equations I: Multiple Hopf and transcritical/multiple Hopf interaction
Younsun Choi, Victor G. LeBlanc
For finite-dimensional bifurcation problems, it is well-known that it is possible to compute normal forms which possess nice symmetry properties. Oftentimes, these symmetries may a…
A strong invariance principle for associated random fields
Raluca M. Balan
In this paper we generalize Yu's [Ann. Probab. 24 (1996) 2079-2097] strong invariance principle for associated sequences to the multi-parameter case, under the assumption that the…
Bridges and networks: Exact asymptotics
Robert D. Foley, David R. McDonald
We extend the Markov additive methodology developed in [Ann. Appl. Probab. 9 (1999) 110-145, Ann. Appl. Probab. 11 (2001) 596-607] to obtain the sharp asymptotics of the steady sta…
The centroid of extended affine and root graded Lie algebras
Georgia Benkart, Erhard Neher
We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie alge…
Comment on: "Characterization of subthreshold voltage fluctuations in neuronal membranes" by M. Rudolph and A. Destexhe
Benjamin Lindner, Andre Longtin
In two recent papers, Rudolph and Destexhe (Neural Comp. {\bf 15}, 2577-2618, 2003; Neural Comp. in press, 2005) studied a leaky integrator model (i.e. an RC-circuit) driven by cor…