12,870 research outputs found
Comment on "Two Fermi points in the exact solution of the Kondo problem"
Comment on paper by A. Zvyagin, Phys. Rev. B 64, R060405 (2001).Comment: 3 pages, no figure
A bicontinuous structure in some systems with cubic mesophases
A cubic structure of polymer colloid complexes is studied. The technique of
the research includes i) an analysis of well-known literature SAXS data; on
this base, at some assumptions, ii) constructing a simple model to estimate
geometric structure parameters and to receive a simulated scattering curve,
iii) calculations of energetic parameters by help of the analytical fluctuation
theory of the phase transitions; iv) comparing the model with the real
structure obtained from the SAXS data by the electron density distribution
reconstruction method. In the presence of an effective field the 2-nd order
phase transition transforms to the 1-st order one in the vicinity of the
Lifshitz point. As a result, a bicontinuous structure in cubic mesophases is
formed.Comment: 23 pages, 3 figure
Why Quantitative Structuring?
Quality-designed consumer products are easy to recognize. Wouldn't it be
great if the quality of financial products became just as apparent? This paper
is addressed to financial practitioners. It provides an informal introduction
to Quantitative Structuring -- a technology of manufacturing quality financial
products (information derivatives). The presentation is arranged in three
parts: the main text assumes no prior knowledge of the topic; important
detailed discussions are arranged as a set of appendices; finally, a list of
references provides further details including applications beyond product
design: from model risk to economics and statistics.Comment: 12 page
Polymer Melt Viscosity
The research is important for a molecular theory of liquid and has a wide
interest as an example solving the problem when dynamic parameters of systems
can be indirectly connected with their equilibrium properties. In frameworks of
the reptation model the power law with the 3.5-exponent for the melt viscosity
relation to the molecular weight of flexible-chain polymer is obtained. In
order to find the exponent close to experimental values it should be taken into
account the rotation vibration precession motion of chain ends with respect to
the polymer melt flow direction.Comment: 10 pages, 1 figure, 4 Internetional Symposium "Molecular Order and
Mobility in Polymer Systems", St.Petersburg, June 3-7, 2002, P-05
On the Mumford - Narasimhan problem
Here we discuss an old problem of algebraic geometry using some new
techniques. Namely we prove that over a generic curve stable vector bundle
admits the Schottki representation.Comment: To Prof. M. Narasimhan on his 70th birthda
Rotation Diffusion as an Additional Mechanism of Energy Dissipation in Polymer Melts
The research is important for a molecular theory of liquid and has a wide
interest as an example solving the problem when dynamic parameters of systems
can be indirectly connected with their equilibrium properties. In frameworks of
the reptation model the power law with the 3.4-exponent for the melt viscosity
relation to the molecular weight of linear flexible-chain polymer is predicted
as distinct from the value 3 expected for a melt of ring macromolecules. To
find the exponent close to experimental values it should be taken into account
the rotation vibration precession motion of chain ends about the polymer melt
flow direction.Comment: 14 pages, 1 figur
Complexity analysis for algorithmically simple strings
Given a reference computer, Kolmogorov complexity is a well defined function
on all binary strings. In the standard approach, however, only the asymptotic
properties of such functions are considered because they do not depend on the
reference computer. We argue that this approach can be more useful if it is
refined to include an important practical case of simple binary strings.
Kolmogorov complexity calculus may be developed for this case if we restrict
the class of available reference computers. The interesting problem is to
define a class of computers which is restricted in a {\it natural} way modeling
the real-life situation where only a limited class of computers is physically
available to us. We give an example of what such a natural restriction might
look like mathematically, and show that under such restrictions some error
terms, even logarithmic in complexity, can disappear from the standard
complexity calculus.
Keywords: Kolmogorov complexity; Algorithmic information theory.Comment: 10 page
Elasticity theory of structuring
Financial derivatives have often been criticized as casino-style betting
instruments. It turns out that many naive ways of making them are indeed
equivalent to gambling. Fortunately, this inadvertent effect can be understood
and prevented. We present a theory of product design which achieves that.Comment: 16 pages, 3 figure
Esseen type bounds of the remainder in a combinatorial CLT
We derive Esseen type bounds of the remainder in a combinatorial central
limit theorem for independent random variables without third moments
Hitchin systems on ll- curves
One investigates the Hitchin systems over "large limit" curves.Comment: This text was almost ready prepared by Professor Andrei N. Tyurin at
the 27th of October. Now it is just slightly edited by Alexei Gorodentsev and
Nikolai Tyurin and will be published as a preprint of MPI (Bonn
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