Results 11 to 20 of about 101,837 (275)
On differential operators associated with Markov operators
Journal of Functional Analysis, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ALTOMARE, Francesco +3 more
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Markov Processes Related with Dunkl Operators
Advances in Applied Mathematics, 1998 Dunkl operators are differential-difference operators associated with a finite reflection group, acting on some Euclidean space, and they can be regarded as a generalization of partial derivatives and play a major role in the theory of quantum many-body systems.
Rösler, Margit, Voit, Michael
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Dilation equations and Markov operators
Journal of Mathematical Analysis and Applications, 2005 Using the theory of Markov operators \(P: L^1(X)\to L^1(X)\) with \(P\) linear, \(\| Pf\|_1=\| f\|_1= 1\) for \(f\geq 0\), \(f\in L^1(X)\), the author gives a new proof for the following Theorem. Let \(N,k> 1\) be positive integers and \(c_0,\dots, c_N\geq 0\) be reals such that \(\sum^\infty_{i=0} c_{ki+j}= 1\) for every \(j\in \{0,\dots,k- 1 ...
Janusz Morawiec
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Modified Operators Interpolating at Endpoints
Mathematics, 2021 Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu +2 more
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Exploding Markov operators [PDF]
Positivity, 2020 AbstractA special class of doubly stochastic (Markov) operators is constructed. In a sense these operators come from measure preserving transformations and inherit some of their properties, namely ergodicity and positivity of entropy, yet they may have no pointwise factors.
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Dobrushin ergodicity coefficient for Markov operators on cones, and beyond [PDF]
, 2013 The analysis of classical consensus algorithms relies on contraction properties of adjoints of Markov operators, with respect to Hilbert's projective metric or to a related family of seminorms (Hopf's oscillation or Hilbert's seminorm).
Gaubert, Stéphane, Qu, Zheng
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Equicontinuous Families of Markov Operators in View of Asymptotic Stability [PDF]
, 2017 Relation between equicontinuity, the so called e property and stability of Markov operators is studied. In particular, it is shown that any asymptotically stable Markov operator with an invariant measure such that the interior of its support is ...
Hille, Sander C. +2 more
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Spreading maps (polymorphisms), symmetries of Poisson processes and matching summation [PDF]
, 2001 The matrix of a permutation is a partial case of Markov transition matrices. In the same way, a measure preserving bijection of a space A with finite measure is a partial case of Markov transition operators.
Neretin, Yurii A.
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Markov Chains for Promotion Operators [PDF]
, 2014 17 pages, includes review of results of arXiv:1205 ...
Ayyer, Arvind +2 more
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Operational Markov Condition for Quantum Processes [PDF]
Physical Review Letters, 2018 We derive a necessary and sufficient condition for a quantum process to be Markovian which coincides with the classical one in the relevant limit. Our condition unifies all previously known definitions for quantum Markov processes by accounting for all potentially detectable memory effects.
Pollock, Felix A. +4 more
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