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Asymptotic Control Theory for a Closed String. II
AbstractWe develop an asymptotic control theory for one of the simplest distributed (infinite-dimensional) oscillating systems, namely, for a closed...
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Enumerative Geometry, Before and After String Theory
Throughout its long history, algebraic geometry has been enriched by the influences of invariant theory, abstract algebra, number theory, topology,...
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Tubes containing string modules in symmetric special multiserial algebras
Symmetric special multiserial algebras are algebras that correspond to decorated hypergraphs with orientation, called Brauer configurations. In this...
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String and Band Complexes Over String Almost Gentle Algebras
We give a combinatorial description of a family of indecomposable objects in the bounded derived categories of two new classes of algebras: string...
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The string topology coproduct on complex and quaternionic projective space
On the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these...
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Some computations in string topology
In this paper, we discuss Hochschild chain models for some of the string topology operations. We use these models to simplify the proofs and...
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A priori estimates for solutions to equations of motion of an inextensible hanging string
We consider the initial boundary value problem to equations of motion of an inextensible hanging string of finite length under the action of the...
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Problems of Boundary Control and Optimal Control of String Vibrations with Multipoint Intermediate Conditions on the State Functions
For the string vibration equation with given initial and final conditions, the problems of boundary control and optimal control with given various...
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A Globally Smooth Solution to the Relativistic String Equation
We prove the global existence of smooth solution to the relativistic string equation in a class of data that is not small. Our solution admits the...
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A Simple Homological Characterization of String Algebras of Finite Representation Type
We prove that among the finite-dimensional algebras of finite representation type those that are string algebras are precisely the ones that have the...
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String representation of trivalent 2-stratifolds with trivial fundamental group
We give a Python program that is capable of computing and printing all distinct trivalent simple connected 2-stratifold graphs (see Gómez-Larrañaga...
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Note on the stabilization of a vibrating string via a switching time-delay boundary control: a theoretical and numerical study
This paper treats the stabilization of a vibrating string by means of a switching time-delay boundary control. We show that the problem possesses a...
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Artistic Manifestations of Topics in String Theory
As both a scientist and artist, the author presents the artworks inspired by his own research in string theory. The chapter starts with an...
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Artistic Manifestations of Topics in String Theory
As both a scientist and artist, the author presents the artworks inspired by his own research in string theory. The chapter starts with an...
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Rational model for the string coproduct of pure manifolds
The string coproduct is a coproduct on the homology with field coefficients of the free loop space of a closed oriented manifold introduced by...
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Correlators from String Nets
This chapter contains our central construction, the one of string-net correlators, as defined in Definition 3.26. The chief...
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On characteristic numbers of 24 dimensional String manifolds
In this paper, we study the Pontryagin numbers of 24 dimensional String manifolds. In particular, we find representatives of an integral basis of the...
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On characteristic numbers of 24 dimensional string manifolds
In this paper, we study the Pontryagin numbers of 24 dimensional String manifolds. In particular, we find representatives of an integral basis of the...
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Periodic string complexes over string algebras
In this paper we develop combinatorial techniques for the case of string algebras with the aim to give a characterization of string complexes with...