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mass (PDM) in the Schr¨odinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has recently been devised for genera-
Finally, we note that by the nature in which this proof discovers the inertially arbitrary patterns, starting with the ones with the fewest entries, (and the fact that no pattern in
Keywords random matrix, Schr¨ odinger operator, Lyapunov exponent, eigenvalue distribution, complex eigenvalue.. AMS subject classification 82B44, 47B36, 15A52, 47B80, 47B39,
Key words: Self-similar Markov process, L´evy process, Lamperti representation, last pas- sage time, time reversal, integral test, law of the iterated logarithm.. AMS 2000
Key words: Multivariate and functional central limit theorems, random fields, martingale limit theorems, self-interacting Markov chains, Markov chain Monte Carlo methods,
The extension of sublinearity on average to pointwise sublinearity is the main novel part of the proof which, unfortunately, still makes non-trivial use of the “heat-kernel
Review paper [26] contains both general theorems of the symmetry method and classification results on integrable equations: the third and fifth order scalar equations,
So, considering time-dependent problems in quantum mechanics in terms of the time-dependent Schr¨ odinger equation or equivalent formulations, one finds that not only classical
