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17 papers · 1 filter
Solvation Effects and Driving Forces for Protein Thermodynamic And Kinetic Cooperativity: How Adequate Is Native-Centric Topological Modeling?
Huseyin Kaya, Hue Sun Chan
What energetic and solvation effects underlie the remarkable two-state thermodynamics and folding/unfolding kinetics of small single-domain proteins? To address this question, we i…
On the universal norm distribution
Yi Ouyang
We introduce and study the universal norm distribution in this paper, which generalizes the concepts of universal ordinary distribution and the universal Euler system. We study the…
Cohomology of symplectic reductions of generic coadjoint orbits
R. F. Goldin, A. -L. Mare
Let mathcal{O}_lambda be a generic coadjoint orbit of a compact semi-simple Lie group K. Weight varieties are the symplectic reductions of mathcal{O}_lambda by the maximal torus T…
Euler equations on homogeneous spaces and Virasoro orbits
B. Khesin, G. Misiolek
We show that the following three systems related to various hydrodynamical approximations: the Korteweg--de Vries equation, the Camassa--Holm equation, and the Hunter--Saxton equat…
Random versus deterministic exponents in a rich family of diffeomorphisms
Francois Ledrappier, Michael Shub, Carles Simo +1
We study, both numerically and theoretically, the relationship between the random Lyapunov exponent of a family of area preserving diffeomorphisms of the 2-sphere and the mean of t…
Partial differentiability of invariant splittings
Charles Pugh, Michael Shub, Amie Wilkinson
A key feature of a general nonlinear partially hyperbolic dynamical system is the absence of differentiability of its invariant splitting. In this paper, we show that often partial…