Theory of hierarchical coupling

Hierarchical Uncoupling-Coupling of Metastable Conformations

A Hierarchical Theory of Systematics

Beatty (1982) claims that the pattern philosophy of the cladistic method is antagonistic to evolutionary theory. I show that the pattern philosophy is consistent with evolution if one takes into account the nature of hierarchical systems, as elucidated by Allen and Starr (1982). A surprising correspondence is revealed between the hierarchy theory of Allen and Starr (1982) and the pattern philos...

Weak Coupling Theory

E (2000) Detection and sorting of neural spikes using wavelet packets. Phys Rev Lett 85:4637–4640 Laubach M (2004) Wavelet-based processing of neuronal spike trains prior to discriminant analysis. J Neurosci Methods 134:159–168 Letelier JC, Weber PP (2000) Spike sorting based on discrete wavelet transform coefficients. J Neurosci Methods 101:93–106 Liang H, Bressler SL, Desimone R, Fries P (200...

Mode-coupling theory

In this set of lecture notes we review the mode-coupling theory of the glass transition from several perspectives. First, we derive mode-coupling equations for the description of density fluctuations from microscopic considerations with the use the Mori-Zwanzig projection operator technique. We also derive schematic mode-coupling equations of a similar form from a field-theoretic perspective. W...

Functional Strong Coupling Theory

The vacuum expectation value of the S-matrix is represented, following HORI, as a functional integral and separated according to 5Vac = exp( — i W) f D (p exp( —i / d x L w ) . Now, the functional integral involves only the part L w of the Lagrangian without derivatives and can be easily calculated in lattice space. We propose a graphical scheme which formalizes the action of the operator r = /...