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Linear independence of time-frequency translates of functions with faster than exponential decay
Gabor system exponential decay HRT conjecture linear independence timefrequency translates analytic zero divisor conjecture
2012/6/29
We establish the linear independence of time-frequency translates for functions $f$ having one sided decay $\lim_{x\to \infty} |f(x)| e^{cx \log x} = 0$ for all $c>0$. We also prove such results for f...
Generalized convexity and the existence of finite time blow-up solutions for an evolutionary problem
Finite time blow-up solutions p-Laplacian generalized convexity regularly varying functions
2011/9/22
Abstract: In this paper we study a class of nonlinearities for which a nonlocal parabolic equation with Neumann-Robin boundary conditions, for $p$-Laplacian, has finite time blow-up solutions.
Almost commuting unitary matrices related to time reversal
unitary matrices time reversal Operator Algebras
2011/9/16
Abstract: The behavior of fermionic systems depends on the geometry of the system and the symmetry class of the Hamiltonian and observables. Almost commuting matrices arise from band-projected positio...
Time scales in large systems of Brownian particles with stochastic synchronization
\Time scales large systems of Brownian particles stochastic synchronization
2011/1/21
We consider a system x(t) = (x1(t), . . . , xN(t)) consisting of N Brownian parti-cles with synchronizing interaction between them occurring at random time moments { n}1 n=1. Under assumption that the...
Nontrivial realization of the space-time translations in the theory of quantum fields
Nontrivial realization of the space-time translations theory of quantum fields
2010/12/15
In standard quantum field theory, the one–particle states are classified by unitary epresentations of the Poincar´e group, whereas the causal fields’ classification employs the finite dimensiona...
Computing the time-continuous Optimal Mass Transport Problem without Lagrangian techniques
AMS Classification 35F40 35L85 35R05 62-99
2010/12/8
This work originates from a heart’s images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed se...
Nonlocal Phases of Local Quantum Mechanical Wavefunctions in Static and Time-Dependent Aharonov-Bohm Experiments
Nonlocal Phases Local Quantum Mechanical Wavefunctions Static
2010/12/15
We show that the standard Dirac phase factor is not the only solution of the gauge ransformation equations. The full form of a general gauge function (that connects systems that move in different sets...