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Dynamics near the threshold for blowup in the one-dimensional focusing nonlinear Klein-Gordon equation
threshold for blowup one-dimensional nonlinear Klein-Gordon equation
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2011/1/18
We study dynamics near the threshold for blowup in the focusing nonlinear Klein-Gordon equa-
tion utt −uxx +u−|u|2 u = 0 on the line. Using mixed numerical and analytical methods we find
...
Finsler spaces with infinite dimensional holonomy group
Finsler spaces infinite dimensional holonomy group
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2011/1/17
Our paper is devoted to the study of the holonomy groups of Finsler surfaces using the methods of infinite dimensional Lie theory. The notion of infinitesimal holonomy algebra will be introduced, by t...
On the self-shrinking systems in arbitrary codimension spaces
self-shrinking systems arbitrary codimension spaces
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2011/1/17
In this paper, we discuss the self-shrinking systems in higher codimensional spaces. We mainly obtain several Bernstein type results and a sharp growth estimate.MSC 2010: Primary 53C44.
Finite-dimensional vertex algebra modules over fixed point commutative subalgebras
vertex algebra Galois extension commutative algebra
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2011/1/18
Let A be a connected commutative C-algebra with derivation D,G a finite linear automorphism group of A which preserves D, and R = AG the fixed point subalgebra of A under the action of G. We show that...
Assouad's theorem with dimension independent of the snowflaking
Assouad's theorem dimension independent snowflaking
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2011/1/20
It is shown that for every K > 0 and " ∈ (0, 1/2) there exist N = N(K) ∈ N and D = D(K, ") ∈ (1,∞) with the following properties. For every separable metric space (X, d) with doubling constant at most...
Correlations and pair emission in the escape dynamics of ions from one-dimensional traps
Correlations pair emission escape dynamics of ions one-dimensional traps
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2010/12/28
We explore the non-equilibrium escape dynamics of long-range interacting ions in one-dimensional traps. The phase space of the few ion setup and its impact on the escape properties are studied.
On solvability of the automorphism group of a finite-dimensional algebra
solvability of the automorphism group finite-dimensional algebra
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2011/1/17
Consider an automorphism group of a finite-dimensional algebra. S. Halperin conjectured that the unity component of this group is solvable if the algebra is a complete intersection.
Topological Insulators and C^*-Algebras: Theory and Numerical Practice
Topological Insulators C^*-Algebras Theory Numerical Practice
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2011/3/2
We apply ideas from C-algebra to the study of disordered topological insulators.We extract certain almost commuting matrices from the free Fermi Hamiltonian,describing band projected coordinate matri...
A modification of the method of characteristics: a new class of multidimensional partially integrable nonlinear systems
modification of the method of characteristics new class of multidimensional partially integrable nonlinear systems
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2010/12/28
We represent an algorithm reducing a big class of systems of (M + 1)-dimensional scalar nonlinear partial differential equations (PDEs) to the systems ofM-dimensional first order PDEs. Thus, we integr...
A Note on Regularity for the n-dimensional H-System assuming logarithmic higher Integrability
Harmonic maps nonlinear elliptic PDE regularity of solutions
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2011/1/21
We prove Holder continuity for solutions to the n-dimensional H-System assuming logarithmic higher integrability of the solution.
Toric integrable geodesic flows in odd dimensions
Toric integrable geodesic odd dimensions
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2011/1/18
Let Q be a compact, connected n-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If n 6= 3 is odd, or if 1(Q) is infinite, we show that the cosphere bundle of Q...
Families of finite-dimensional Hopf algebras with the Chevalley property
Families of finite-dimensional Hopf algebras Chevalley property
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2011/1/17
We introduce and study families of finite-dimensional Hopf algebras with the Chevalley property arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples introduced in...
Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional
Relaxation Singular Perturbation Geometric Measure
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2010/12/14
We establish some new results about the -limit, with respect to the L1-topology, of two di erent (but related) phase- eld approximations of the so-called Euler's Elastica Bending Energy for ...
Mañé's conjectures in codimension one
Mañ é's conjectures codimension one
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2010/12/14
We prove Ma˜n´e’s conjectures ([Mn96]) in the context of codimension one Aubry-Mather theory
Superimposed particles in 1D ground states
Superimposed particles 1D ground states
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2010/11/29
For a class of nonnegative, range-1 pair potentials in one dimensional continuous space we prove that any classical ground state of lower density 1 is a tower-lattice, i.e., a lattice formed by towe...