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About 8,773 papers for “Transfer operator”

Transfer operator methods

Christian Beck, Friedrich Schögl · Cambridge University Press eBooks · 1993

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Cited by 1

On a Generalized Transfer Operator

Adam Nielsen, Konstantin Fackeldey, Marcus Weber · 2013

We introduce a generalized operator for arbitrary stochastic processes by using a pre-kernel, which is a generalization of the Markov kernel. For deterministic processes, such an operator is already known as the Frobenius-Perron operator, which is defined for a large class of measures. For Markov processes, there exists transfer operators being only well defined for stationary measures in $L^2$. Our novel generalized transfer operator is well defined for arbitrary stochastic processes, in particular also for deterministic ones. We can show that this operator is acting on $L^1$. For stationary measures, this operator is also an endomorphism of $L^2$ and, therefore, allows for a mathematical analysis in Hilbert spaces.

Cited by 0

Operator holds transfer and rebate slips

TUScholarShare (Temple University) · 1948

John Rycerz, trolley operator, is seen in profile, scratching his head and holding stacks of transfer and rebate slips.

Cited by 0

Trace Formulas and Bogomolny's Transfer Operator

Zaitsev, Oleg, Narevich, R., Prange, R. E. · arXiv (Cornell University) · 1999

The trace formulas commonly used in discussing spectral properties of quantum or wave systems are derived simply and directly from the Bogomolny transfer operator. Special cases are the Gutzwiller formula, the Berry-Tabor formula, and the perturbed Berry-Tabor formula. A comment is made about interpolation formulas proposed in the latter case.

Cited by 0Open access

Factorization of Operator-valued Transfer Functions

Lev Sakhnovich · Birkhäuser Basel eBooks · 1999

Consider a dynamical system of the form 0.1 $$ \frac{{dx}}{{dt}} = Ax + I{I_1}v,y = {\Gamma _2}^*x + {v_1}$$ where v(t) and y(t) are functions taking values in a Hilbert space $$\mathfrak{G}$$ , and x(t) is a function taking values in a Hilbert space $$\mathfrak{H}$$ .

Cited by 4