Quasistable gradient and hamiltonian systems with a pairwiseinteraction randomly perturbed by wiener processes [PDF]
International Journal of Stochastic Analysis, 2002 Let \(w_k\) be a sequence of independent standard Wiener processes in \(R^d\), \(x_k\) be a finite or infinite sequence of \(R^d\)-valued stochastic processes that describe the evolution of a set of randomly perturbed pairwise interacting particles. Gradient and Hamiltonian systems of the form \[ dx_k(t)=F_k(t) dt+\sigma dw_k(t) \quad\text{and}\quad d ...
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Weak Quasistability and Rajchman measures
It is shown that weak quasistability does not imply power boundedness, but coercive power unbounded operators cannot be weakly quasistable.\ Although a finite measure over the unit disc is a Rajchman measure if and only if the position operator is weakly stable, it is shown that the position operator is weakly quasistable for every finite continuous ...
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Quasistates in a ring coupled to a reservoir and their relation to the Dicke effect
, 2003 We study the energy spectrum and the persistent current in an ideal one-dimensional mesoscopic ring coupled to an external fermionic reservoir. The contact between ring and reservoir is described by a tunneling operator, which causes an indirect coupling between different ring states via states in the reservoir. For strong coupling to the reservoir new
Wunsch, Bernhard, Chudnovskiy, Alexander
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Continuity argument revisited: geometry of root clustering via symmetric products
, 2016 We study the spaces of polynomials stratified into the sets of polynomial with fixed number of roots inside certain semialgebraic region $\Omega$, on its border, and at the complement to its closure.
Violet, Grey
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PAR-3 oligomerization may provide an actin-independent mechanism to maintain distinct par protein domains in the early Caenorhabditis elegans embryo. [PDF]
Biophys J, 2011 Dawes AT, Munro EM.
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Mechanisms and Characteristics of Thermodynamically Quasistable Structure Formation in Metals
Environmental and Climate TechnologiesAbstract This paper investigates the processes of thermodynamic pseudostability (metastability) in liquid metals during rapid solidification, a mechanism that results in the formation of an amorphous structure. Established technologies for creating bulk amorphous materials are typically limited to producing only a thin amorphous layer.
Anatoliy Pavlenko, Borys Basok
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How reduced excitonic coupling enhances light harvesting in the main photosynthetic antennae of diatoms. [PDF]
Proc Natl Acad Sci U S A, 2017 Krüger TPJ +5 more
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Spectral dynamics of individual bacterial light-harvesting complexes: alternative disorder model. [PDF]
Biophys J, 2008 Janusonis J +3 more
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Compactified Jacobians as Mumford models
, 2019 We show that relative compactified Jacobians of one-parameter smoothings of a nodal curve of genus g, as constructed by Caporaso, Esteves, and Simpson, are Mumford models of the generic fiber.
Christ, Karl, Payne, Sam, Shen, Tif
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Activation of mitochondrial biogenesis by heme oxygenase-1-mediated NF-E2-related factor-2 induction rescues mice from lethal Staphylococcus aureus sepsis. [PDF]
Am J Respir Crit Care Med, 2012 MacGarvey NC +6 more
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